ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS
This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we pro...
Saved in:
| Published in | Acta mathematica scientia Vol. 35; no. 5; pp. 955 - 969 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2015
College of Applied Sciences, Beijing University of Technology, Beijing 100022, China Laboratoire de Mathématiques, Université Blaise Pascal, Clermont-Ferrand, 63000, France%College of Applied Sciences, Beijing University of Technology, Beijing 100022, China%Department of Mathematics and Computer Science, Xinyang Vocational and Technical College,Xinyang 464000, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(15)30030-8 |
Cover
| Abstract | This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ｜｜·｜｜H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ｜｜·｜｜H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system. |
|---|---|
| AbstractList | This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ｜｜·｜｜H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ｜｜·｜｜H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system. This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in ℝ3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ‖.‖Hs-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ‖.‖Hs-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system. |
| Author | 冯跃红 王术 李新 |
| AuthorAffiliation | College of Applied Sciences, Beijing University of Technology, Beijing 100022, ChinaLaboratoire de Mathdmatiques, Universitd Blaise Pascal, Clermont-Ferrand, 63000, France College of Applied Sciences, Beijing University of Technology, Beijing 100022, China Department of Mathematics and Computer Science, Xinyang Vocational and Technical College, Xinyang 464000, China |
| AuthorAffiliation_xml | – name: College of Applied Sciences, Beijing University of Technology, Beijing 100022, China;Laboratoire de Mathématiques, Université Blaise Pascal, Clermont-Ferrand, 63000, France%College of Applied Sciences, Beijing University of Technology, Beijing 100022, China%Department of Mathematics and Computer Science, Xinyang Vocational and Technical College,Xinyang 464000, China |
| Author_xml | – sequence: 1 fullname: 冯跃红 王术 李新 |
| BookMark | eNqFkE1v1DAQhi1UJLaFn4BkcaKHgD_ixBEHlF1luxFOvYpToCfL6zjF1ZLQJNDy73G7hQOXnkbyvM_M-DkGR_3QOwBeY_QOI5y8V4gwEmUJIm8xO6UIURTxZ2CBWRqeEU-PwOJf5AU4nqZrFDiSxAtwk6vLatvIplzBZbHJP5eyhnINz4Rc5gKqSspmA5UUF00pzxVch_ay3EqR13Alq21dKFUuRQHPA1rUkWrkp0JFVf71SyECf6maooLrWlZwK3JV5eoleN6Z_eRePdYTcLEumtUmEvKsXOUisjRFc5S21GQdNjjbpbjjjqEUxxSTlsSxtdxw2mXIJhxnjiPsYoNaZnekSxPsCN5ZegJOD3NvTd-Z_kpfDz_HPmzU093t_m6nHUGYIRZUhCw7ZO04TNPoOv1j9N_N-FtjpO8d6wfH-l6gxkw_ONY8cB_-46yfzeyHfh6N3z9JfzzQLmj45d2oJ-tdb13rR2dn3Q7-yQlvHvd_G_qrGx9--ffwJEkIoowT-gcgwZmi |
| CitedBy_id | crossref_primary_10_1007_s00332_017_9435_9 crossref_primary_10_1016_S0252_9602_18_30770_7 crossref_primary_10_1007_s00021_021_00560_8 |
| Cites_doi | 10.1016/j.nonrwa.2014.03.004 10.1142/S0219530512500078 10.1016/j.jmaa.2011.01.065 10.1137/100786927 10.1137/100806515 10.1142/S0219891611002421 10.1137/070686056 10.1016/j.anihpc.2012.04.002 10.1137/100812768 10.1142/S0218202514500390 10.24033/asens.2219 10.1016/j.jcp.2011.11.011 10.1002/cpa.3160340405 10.1137/120875855 10.1016/j.amc.2013.12.183 10.1137/110838406 10.3934/dcds.2009.23.415 10.1215/kjm/1250522322 10.1080/03605300701318989 10.1080/00411450008205877 10.1007/978-3-0348-8334-4 10.1007/BF00280740 10.3792/pjaa.55.337 |
| ContentType | Journal Article |
| Copyright | 2015 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: 2015 Wuhan Institute of Physics and Mathematics – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.1016/S0252-9602(15)30030-8 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 CrossRef Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics Physics |
| DocumentTitleAlternate | ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS |
| EISSN | 1572-9087 |
| EndPage | 969 |
| ExternalDocumentID | sxwlxb_e201505001 10_1016_S0252_9602_15_30030_8 S0252960215300308 666203582 |
| GrantInformation_xml | – fundername: Collaborative Innovation Center on Beijing Society-building and Social Governance, NSFC grantid: 11371042; 1132006 – fundername: BNSF – fundername: The authors are supported by the Collaborative Innovation Center on Beijing Society-building and Social Governance,NSFC; BNSF; the key fund of the Beijing education committee of China and China Postdoctoral Science Foundation funded project funderid: (11371042); (1132006); the key fund of the Beijing education committee of China and China Postdoctoral Science Foundation funded project |
| GroupedDBID | --K --M -01 -0A -EM -SA -S~ .~1 0R~ 1B1 1~. 1~5 23M 2B. 2C. 2RA 4.4 406 457 4G. 5GY 5VR 5VS 5XA 5XB 5XL 7-5 71M 8P~ 92E 92I 92L 92M 92Q 93N 9D9 9DA AACTN AAEDT AAEDW AAFGU AAHNG AAIKJ AAKOC AALRI AAOAW AAQFI AATNV AAUYE AAXUO AAYFA ABAOU ABECU ABFGW ABFNM ABFTV ABKAS ABKCH ABMAC ABMQK ABTEG ABTKH ABTMW ABXDB ABXPI ABYKQ ACAOD ACAZW ACBMV ACBRV ACBYP ACDAQ ACGFS ACHSB ACIGE ACIPQ ACMLO ACOKC ACRLP ACTTH ACVWB ACWMK ACZOJ ADBBV ADEZE ADKNI ADMDM ADMUD ADOXG ADTPH ADURQ ADYFF AEBSH AEFTE AEJRE AEKER AENEX AESKC AESTI AEVTX AFKWA AFNRJ AFQWF AFUIB AGDGC AGGBP AGHFR AGJBK AGMZJ AGUBO AGYEJ AIAKS AIEXJ AIGVJ AIKHN AILAN AIMYW AITGF AITUG AJBFU AJDOV AJOXV AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS AMFUW AMKLP AMRAJ AMXSW AMYLF ARUGR AXJTR AXYYD BGNMA BKOJK BLXMC CAJEA CAJUS CCEZO CCVFK CHBEP CQIGP CS3 CSCUP CW9 DPUIP EBLON EBS EFJIC EFLBG EJD EO9 EP2 EP3 FA0 FDB FEDTE FIRID FNLPD FNPLU FYGXN GBLVA GJIRD HVGLF HZ~ IKXTQ IWAJR J1W JUIAU JZLTJ KOM KOV LLZTM M41 M4Y MHUIS MO0 N9A NPVJJ NQJWS NU0 O-L O9- OAUVE OZT P-8 P-9 P2P PC. PT4 Q-- Q-0 Q38 R-A REI RIG ROL RSV RT1 S.. SDC SDF SDG SDH SES SNE SNPRN SOHCF SOJ SPC SRMVM SSLCW SSW SSZ T5K T8Q TCJ TGP TSG U1F U1G U5A U5K UOJIU UTJUX VEKWB VFIZW ZMTXR ~G- ~L9 ~WA AGQEE FIGPU AACDK AAJBT AASML AATTM AAXKI AAYWO AAYXX ABAKF ABBRH ABDBE ABFSG ABJNI ABRTQ ABWVN ACDTI ACLOT ACPIV ACRPL ACSTC ACVFH ADCNI ADNMO AEFQL AEIPS AEMSY AEUPX AEZWR AFBBN AFDZB AFHIU AFOHR AFPUW AHPBZ AHWEU AIGII AIGIU AIIUN AIXLP AKBMS AKRWK AKYEP ANKPU ATHPR AYFIA CITATION EFKBS HG6 SJYHP ~HD 4A8 AFXIZ AGCQF AGRNS PSX SSH |
| ID | FETCH-LOGICAL-c370t-7d3a9f1a19b71f8e50714312d244cc8a83f90c6819e801e4a0d5cb2f761e21bc3 |
| IEDL.DBID | .~1 |
| ISSN | 0252-9602 |
| IngestDate | Thu May 29 04:00:08 EDT 2025 Wed Oct 01 03:09:10 EDT 2025 Thu Apr 24 23:05:56 EDT 2025 Fri Feb 23 02:25:03 EST 2024 Wed Feb 14 10:28:25 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | energy estimates plasmas 35L60 35L45 global smooth solutions 35Q60 bipolar compressible Navier-Stokes-Maxwell system large-time behavior |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c370t-7d3a9f1a19b71f8e50714312d244cc8a83f90c6819e801e4a0d5cb2f761e21bc3 |
| Notes | Yuehong FENG, Shu WANG, Xin LI（1.College of Applied Sciences, Beijing University of Technology, Beijing 100022, China Laboratoire de Mathematiques, Universite Blaise Pascal, Clermont-Ferrand, 63000, France;2. College of Applied Sciences, Beijing University of Technology, Beijing 100022, China;3. Department of Mathematics and Computer Science, Xinyang Vocational and Technical College, Xinyang 464000, China） 42-1227/O bipolar compressible Navier-Stokes-Maxwell system; plasmas; global smooth solutions; energy estimates; large-time behavior This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and elaborate energy method, the Cauchy problem in R^3. Under the assumption that the initial values are close to a equilibrium solutions, we prove that the smooth solutions of this problem converge to a steady state as the time goes to the infinity. It is shown that the difference of densities of two carriers converge to the equilibrium states with the norm ｜｜·｜｜H^s-1, while the velocities and the electromagnetic fields converge to the equilibrium states with weaker norms than ｜｜·｜｜H^s-1. This phenomenon on the charge transport shows the essential difference between the unipolar Navier-Stokes-Maxwell and the bipolar Navier-Stokes-Maxwell system. |
| PageCount | 15 |
| ParticipantIDs | wanfang_journals_sxwlxb_e201505001 crossref_primary_10_1016_S0252_9602_15_30030_8 crossref_citationtrail_10_1016_S0252_9602_15_30030_8 elsevier_sciencedirect_doi_10_1016_S0252_9602_15_30030_8 chongqing_primary_666203582 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2015-09-01 |
| PublicationDateYYYYMMDD | 2015-09-01 |
| PublicationDate_xml | – month: 09 year: 2015 text: 2015-09-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Acta mathematica scientia |
| PublicationTitleAlternate | Acta Mathematica Scientia |
| PublicationTitle_FL | Acta Mathematica Scientia |
| PublicationYear | 2015 |
| Publisher | Elsevier Ltd College of Applied Sciences, Beijing University of Technology, Beijing 100022, China Laboratoire de Mathématiques, Université Blaise Pascal, Clermont-Ferrand, 63000, France%College of Applied Sciences, Beijing University of Technology, Beijing 100022, China%Department of Mathematics and Computer Science, Xinyang Vocational and Technical College,Xinyang 464000, China |
| Publisher_xml | – name: Elsevier Ltd – name: College of Applied Sciences, Beijing University of Technology, Beijing 100022, China – name: Laboratoire de Mathématiques, Université Blaise Pascal, Clermont-Ferrand, 63000, France%College of Applied Sciences, Beijing University of Technology, Beijing 100022, China%Department of Mathematics and Computer Science, Xinyang Vocational and Technical College,Xinyang 464000, China |
| References | Wang, Feng, Li (bib28) 2014; 231 Chen, Jerome, Wang (bib2) 2000; 29 Duan (bib5) 2012; 10 Klainerman, Majda (bib12) 1981; 34 Chen (bib1) 1984; Vol 1 Duan, Liu, Zhu (bib6) 2012; 44 Duan (bib4) 2011; 8 Rishbeth, Garriott (bib23) 1969 Majda (bib13) 1984 Peng, Wang (bib19) 2008; 33 Germain, Masmoudi (bib9) 2014; 47 Kato (bib11) 1975; 58 Xu (bib29) 2011; 43 Feng, Wang, Kawashima (bib8) 2014; 24 Degond, Deluzet, Savelief (bib3) 2012; 231 Yang, Wang (bib30) 2011; 380 Peng (bib18) 2012; 29 Nishida T. Nonlinear hyperbolic equations and related topics in fluids dynamics. Publications Mathématiques d'Orsay, Université Paris-Sud, Orsay, 1978: 78-02 Stein (bib24) 1970 Wang, Feng, Li (bib27) 2012; 44 Feng, Peng, Wang (bib7) 2014; 19 Markowich, Ringhofer, Schmeiser (bib16) 1990 Ueda, Kawashima (bib25) 2011; 18 Peng, Wang (bib21) 2009; 23 Ueda, Wang, Kawashima (bib26) 2012; 44 Jüngel A. Quasi-Hydrodynamic Semiconductor Equations. Birkhäuser, 2001 Matsumura, Nishida (bib14) 1979; 55 Matsumura, Nishida (bib15) 1980; 20 Peng, Wang, Gu (bib22) 2011; 43 Peng, Wang (bib20) 2008; 40 Peng (10.1016/S0252-9602(15)30030-8_bib19) 2008; 33 Feng (10.1016/S0252-9602(15)30030-8_bib7) 2014; 19 Yang (10.1016/S0252-9602(15)30030-8_bib30) 2011; 380 Peng (10.1016/S0252-9602(15)30030-8_bib18) 2012; 29 Wang (10.1016/S0252-9602(15)30030-8_bib28) 2014; 231 Xu (10.1016/S0252-9602(15)30030-8_bib29) 2011; 43 Feng (10.1016/S0252-9602(15)30030-8_bib8) 2014; 24 Majda (10.1016/S0252-9602(15)30030-8_bib13) 1984 Markowich (10.1016/S0252-9602(15)30030-8_bib16) 1990 Matsumura (10.1016/S0252-9602(15)30030-8_bib15) 1980; 20 Duan (10.1016/S0252-9602(15)30030-8_bib5) 2012; 10 Rishbeth (10.1016/S0252-9602(15)30030-8_bib23) 1969 Degond (10.1016/S0252-9602(15)30030-8_bib3) 2012; 231 Duan (10.1016/S0252-9602(15)30030-8_bib4) 2011; 8 Duan (10.1016/S0252-9602(15)30030-8_bib6) 2012; 44 10.1016/S0252-9602(15)30030-8_bib17 Peng (10.1016/S0252-9602(15)30030-8_bib21) 2009; 23 Chen (10.1016/S0252-9602(15)30030-8_bib2) 2000; 29 10.1016/S0252-9602(15)30030-8_bib10 Klainerman (10.1016/S0252-9602(15)30030-8_bib12) 1981; 34 Germain (10.1016/S0252-9602(15)30030-8_bib9) 2014; 47 Chen (10.1016/S0252-9602(15)30030-8_bib1) 1984; Vol 1 Kato (10.1016/S0252-9602(15)30030-8_bib11) 1975; 58 Wang (10.1016/S0252-9602(15)30030-8_bib27) 2012; 44 Ueda (10.1016/S0252-9602(15)30030-8_bib25) 2011; 18 Peng (10.1016/S0252-9602(15)30030-8_bib20) 2008; 40 Matsumura (10.1016/S0252-9602(15)30030-8_bib14) 1979; 55 Peng (10.1016/S0252-9602(15)30030-8_bib22) 2011; 43 Stein (10.1016/S0252-9602(15)30030-8_bib24) 1970 Ueda (10.1016/S0252-9602(15)30030-8_bib26) 2012; 44 |
| References_xml | – volume: 8 start-page: 375 year: 2011 end-page: 413 ident: bib4 article-title: Global smooth flows for the compressible Euler-Maxwell system:relaxation case publication-title: J Hyperbolic Differential Equations – volume: 24 start-page: 2851 year: 2014 end-page: 2884 ident: bib8 article-title: Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system publication-title: Math Mod Meth Appl Sci – volume: 20 start-page: 67 year: 1980 end-page: 104 ident: bib15 article-title: The initial value problem for the equation of motion of viscous and heat-conductive gases publication-title: J Math Kyoto Univ – volume: 55 start-page: 337 year: 1979 end-page: 342 ident: bib14 article-title: The initial value problem for the equation of motion of compressible viscous and heat-conductive fluids publication-title: Proc Japan Acad, Ser A – volume: 34 start-page: 481 year: 1981 end-page: 524 ident: bib12 article-title: Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids publication-title: Comm Pure Appl Math – year: 1970 ident: bib24 publication-title: Singular Integrals and Differentiability Properties of Functions. Princeton Mathematical Series – volume: 43 start-page: 2688 year: 2011 end-page: 2718 ident: bib29 article-title: Global classical solutions to the compressible Euler-Maxwell equations publication-title: SIAM J Math Anal – year: 1969 ident: bib23 publication-title: Introduction to Ionospheric Physics – volume: 29 start-page: 311 year: 2000 end-page: 331 ident: bib2 article-title: Compressible Euler-Maxwell equations publication-title: Transport Theory and Statistical Physics – volume: 23 start-page: 415 year: 2009 end-page: 433 ident: bib21 article-title: Asymptotic expansions in two-fluid compressible Euler-Maxwell equations with small parameters publication-title: Discrete Contin Dyn Syst – year: 1984 ident: bib13 publication-title: Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables – volume: 380 start-page: 343 year: 2011 end-page: 353 ident: bib30 article-title: The diffusive relaxation limit of non-isentropic Euler-Maxwell equations for plasmas publication-title: J Math Anal Appl – reference: Nishida T. Nonlinear hyperbolic equations and related topics in fluids dynamics. Publications Mathématiques d'Orsay, Université Paris-Sud, Orsay, 1978: 78-02 – year: 1990 ident: bib16 publication-title: Semiconductor Equations – volume: 231 start-page: 1917 year: 2012 end-page: 1946 ident: bib3 article-title: Numerical approximation of the Euler-Maxwell model in the quasineutral limit publication-title: J Comput Phys – volume: 10 start-page: 133 year: 2012 end-page: 197 ident: bib5 article-title: Green's function and large time behavior of the Navier-Stokes-Maxwell system publication-title: Anal Appl – volume: 44 start-page: 3429 year: 2012 end-page: 3457 ident: bib27 article-title: The asymptotic behavior of globally smooth solutions of bipolar non-isentropic compressible Euler-Maxwell system for plasm publication-title: SIAM J Math Anal – volume: 18 start-page: 215 year: 2011 end-page: 268 ident: bib25 article-title: Decay property of regularity-loss type for the Euler-Maxwell system publication-title: Methods Appl Anal – volume: 44 start-page: 102 year: 2012 end-page: 133 ident: bib6 article-title: The Cauchy problem on the compressible two-fluids Euler-Maxwell equations publication-title: SIAM J Math Anal – volume: 47 start-page: 469 year: 2014 end-page: 503 ident: bib9 article-title: Global existence for the Euler-Maxwell system publication-title: Ann Sci Ecole Norm S – volume: 29 start-page: 737 year: 2012 end-page: 759 ident: bib18 article-title: Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations publication-title: Ann I H Poincare-AN – reference: Jüngel A. Quasi-Hydrodynamic Semiconductor Equations. Birkhäuser, 2001 – volume: 40 start-page: 540 year: 2008 end-page: 565 ident: bib20 article-title: Rigorous derivation of incompressible e-MHD equations from compressible Euler-Maxwell equations publication-title: SIAM J Math Anal – volume: 43 start-page: 944 year: 2011 end-page: 970 ident: bib22 article-title: Relaxation limit and global existence of smooth solution of compressible Euler-Maxwell equations publication-title: SIAM J Math Anal – volume: 19 start-page: 105 year: 2014 end-page: 116 ident: bib7 article-title: Asymptotic behavior of global smooth solutions for full compressible Navier-Stokes-Maxwell equations publication-title: Nonlinear Anal Real – volume: 231 start-page: 299 year: 2014 end-page: 306 ident: bib28 article-title: The asymptotic behavior of globally smooth solutions of non-isentropic Euler-Maxwell equations for plasmas publication-title: Appl Math Comput – volume: 58 start-page: 181 year: 1975 end-page: 205 ident: bib11 article-title: The Cauchy problem for quasi-linear symmetric hyperbolic systems publication-title: Arch Ration Mech Anal – volume: Vol 1 year: 1984 ident: bib1 publication-title: Introduction to Plasma Physics and Controlled Fusion – volume: 33 start-page: 349 year: 2008 end-page: 376 ident: bib19 article-title: Convergence of compressible Euler-Maxwell equations to incompressible Euler equations publication-title: Comm Part Diff Equations – volume: 44 start-page: 2002 year: 2012 end-page: 2017 ident: bib26 article-title: Dissipative structure of the regularity type and time asymptotic decay of solutions for the Euler-Maxwell system publication-title: SIAM J Math Anal – volume: 19 start-page: 105 year: 2014 ident: 10.1016/S0252-9602(15)30030-8_bib7 article-title: Asymptotic behavior of global smooth solutions for full compressible Navier-Stokes-Maxwell equations publication-title: Nonlinear Anal Real doi: 10.1016/j.nonrwa.2014.03.004 – volume: 10 start-page: 133 year: 2012 ident: 10.1016/S0252-9602(15)30030-8_bib5 article-title: Green's function and large time behavior of the Navier-Stokes-Maxwell system publication-title: Anal Appl doi: 10.1142/S0219530512500078 – year: 1969 ident: 10.1016/S0252-9602(15)30030-8_bib23 – ident: 10.1016/S0252-9602(15)30030-8_bib17 – volume: 380 start-page: 343 year: 2011 ident: 10.1016/S0252-9602(15)30030-8_bib30 article-title: The diffusive relaxation limit of non-isentropic Euler-Maxwell equations for plasmas publication-title: J Math Anal Appl doi: 10.1016/j.jmaa.2011.01.065 – year: 1990 ident: 10.1016/S0252-9602(15)30030-8_bib16 – volume: Vol 1 year: 1984 ident: 10.1016/S0252-9602(15)30030-8_bib1 – volume: 43 start-page: 944 year: 2011 ident: 10.1016/S0252-9602(15)30030-8_bib22 article-title: Relaxation limit and global existence of smooth solution of compressible Euler-Maxwell equations publication-title: SIAM J Math Anal doi: 10.1137/100786927 – volume: 44 start-page: 2002 year: 2012 ident: 10.1016/S0252-9602(15)30030-8_bib26 article-title: Dissipative structure of the regularity type and time asymptotic decay of solutions for the Euler-Maxwell system publication-title: SIAM J Math Anal doi: 10.1137/100806515 – volume: 8 start-page: 375 year: 2011 ident: 10.1016/S0252-9602(15)30030-8_bib4 article-title: Global smooth flows for the compressible Euler-Maxwell system:relaxation case publication-title: J Hyperbolic Differential Equations doi: 10.1142/S0219891611002421 – volume: 40 start-page: 540 year: 2008 ident: 10.1016/S0252-9602(15)30030-8_bib20 article-title: Rigorous derivation of incompressible e-MHD equations from compressible Euler-Maxwell equations publication-title: SIAM J Math Anal doi: 10.1137/070686056 – volume: 29 start-page: 737 year: 2012 ident: 10.1016/S0252-9602(15)30030-8_bib18 article-title: Global existence and long-time behavior of smooth solutions of two-fluid Euler-Maxwell equations publication-title: Ann I H Poincare-AN doi: 10.1016/j.anihpc.2012.04.002 – year: 1984 ident: 10.1016/S0252-9602(15)30030-8_bib13 – volume: 43 start-page: 2688 year: 2011 ident: 10.1016/S0252-9602(15)30030-8_bib29 article-title: Global classical solutions to the compressible Euler-Maxwell equations publication-title: SIAM J Math Anal doi: 10.1137/100812768 – volume: 24 start-page: 2851 year: 2014 ident: 10.1016/S0252-9602(15)30030-8_bib8 article-title: Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system publication-title: Math Mod Meth Appl Sci doi: 10.1142/S0218202514500390 – volume: 47 start-page: 469 issue: 3 year: 2014 ident: 10.1016/S0252-9602(15)30030-8_bib9 article-title: Global existence for the Euler-Maxwell system publication-title: Ann Sci Ecole Norm S doi: 10.24033/asens.2219 – volume: 231 start-page: 1917 year: 2012 ident: 10.1016/S0252-9602(15)30030-8_bib3 article-title: Numerical approximation of the Euler-Maxwell model in the quasineutral limit publication-title: J Comput Phys doi: 10.1016/j.jcp.2011.11.011 – volume: 34 start-page: 481 year: 1981 ident: 10.1016/S0252-9602(15)30030-8_bib12 article-title: Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids publication-title: Comm Pure Appl Math doi: 10.1002/cpa.3160340405 – volume: 44 start-page: 3429 year: 2012 ident: 10.1016/S0252-9602(15)30030-8_bib27 article-title: The asymptotic behavior of globally smooth solutions of bipolar non-isentropic compressible Euler-Maxwell system for plasm publication-title: SIAM J Math Anal doi: 10.1137/120875855 – volume: 231 start-page: 299 year: 2014 ident: 10.1016/S0252-9602(15)30030-8_bib28 article-title: The asymptotic behavior of globally smooth solutions of non-isentropic Euler-Maxwell equations for plasmas publication-title: Appl Math Comput doi: 10.1016/j.amc.2013.12.183 – volume: 44 start-page: 102 year: 2012 ident: 10.1016/S0252-9602(15)30030-8_bib6 article-title: The Cauchy problem on the compressible two-fluids Euler-Maxwell equations publication-title: SIAM J Math Anal doi: 10.1137/110838406 – volume: 23 start-page: 415 year: 2009 ident: 10.1016/S0252-9602(15)30030-8_bib21 article-title: Asymptotic expansions in two-fluid compressible Euler-Maxwell equations with small parameters publication-title: Discrete Contin Dyn Syst doi: 10.3934/dcds.2009.23.415 – volume: 20 start-page: 67 year: 1980 ident: 10.1016/S0252-9602(15)30030-8_bib15 article-title: The initial value problem for the equation of motion of viscous and heat-conductive gases publication-title: J Math Kyoto Univ doi: 10.1215/kjm/1250522322 – volume: 18 start-page: 215 year: 2011 ident: 10.1016/S0252-9602(15)30030-8_bib25 article-title: Decay property of regularity-loss type for the Euler-Maxwell system publication-title: Methods Appl Anal – volume: 33 start-page: 349 year: 2008 ident: 10.1016/S0252-9602(15)30030-8_bib19 article-title: Convergence of compressible Euler-Maxwell equations to incompressible Euler equations publication-title: Comm Part Diff Equations doi: 10.1080/03605300701318989 – volume: 29 start-page: 311 year: 2000 ident: 10.1016/S0252-9602(15)30030-8_bib2 article-title: Compressible Euler-Maxwell equations publication-title: Transport Theory and Statistical Physics doi: 10.1080/00411450008205877 – ident: 10.1016/S0252-9602(15)30030-8_bib10 doi: 10.1007/978-3-0348-8334-4 – volume: 58 start-page: 181 year: 1975 ident: 10.1016/S0252-9602(15)30030-8_bib11 article-title: The Cauchy problem for quasi-linear symmetric hyperbolic systems publication-title: Arch Ration Mech Anal doi: 10.1007/BF00280740 – volume: 55 start-page: 337 year: 1979 ident: 10.1016/S0252-9602(15)30030-8_bib14 article-title: The initial value problem for the equation of motion of compressible viscous and heat-conductive fluids publication-title: Proc Japan Acad, Ser A doi: 10.3792/pjaa.55.337 – year: 1970 ident: 10.1016/S0252-9602(15)30030-8_bib24 |
| SSID | ssj0016264 |
| Score | 2.0126514 |
| Snippet | This paper is concerned with the bipolar compressible Navier-Stokes-Maxwell system for plasmas. We investigated, by means of the techniques of symmetrizer and... |
| SourceID | wanfang crossref elsevier chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 955 |
| SubjectTerms | 35L45 35L60 35Q60 bipolar compressible Navier-Stokes-Maxwell system energy estimates global smooth solutions large-time behavior l系统 Navier-Stokes plasmas 双极性 可压缩 平衡态 整体光滑解 渐近行为 等离子体 |
| Title | ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS FOR BIPOLAR COMPRESSIBLE NAVIER-STOKES-MAXWELL SYSTEM FROM PLASMAS |
| URI | http://lib.cqvip.com/qk/86464X/201505/666203582.html https://dx.doi.org/10.1016/S0252-9602(15)30030-8 https://d.wanfangdata.com.cn/periodical/sxwlxb-e201505001 |
| Volume | 35 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) customDbUrl: eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: GBLVA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection customDbUrl: eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: .~1 dateStart: 20060101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection customDbUrl: eissn: 1572-9087 dateEnd: 20181130 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: ACRLP dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: ScienceDirect Journal Collection customDbUrl: eissn: 1572-9087 dateEnd: 20181130 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: AIKHN dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals customDbUrl: mediaType: online eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: AKRWK dateStart: 19950101 isFulltext: true providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3BbtQwELWqokpwKFBAbFsqC3GAg7uOk2yyx1VFtYC6l1KpN8t27LJiN0mbVF0ufHtnHCeFA6rEMZY9sTxjzxtr5pmQD05PVaycYgqCAwxQCpYnjjMjLHc85Q46YLbFYjK_SL5eppdb5KSvhcG0ynD2d2e6P61Dyzis5rheLsfn4K0F4G_wWbFnXcEK9iTDVwyOfw9pHhEAdk8hBZ0Z9n6o4ukk-MaPUfrJC2E5ciz8qMqra_Ac__JVO3eqdKq8-sMTnb4guwFC0lk3y5dky5Z75HmAkzRs1maPPDsbKFnha8fneprmFbmeNb_WdVtBO-2r9GnlaMcNQpt1Bdqjg01SgLVUL2uMgSlmoPvMWb2ydKFwouy8rX7ahp2pDV4E0o4bmmLdCq0Bm69V85pcnH7-fjJn4eUFZuKMtywrYjV1kYqmOotcbhE0AtIQBYABY3KVx27KzQTQhAUPZxPFi9Ro4bJJZEWkTfyGbJdVad8SGifcQdAmOG5Hw7kCHU0KHRWiiOEv6YgcDOst645hQ0JMJTjW8I5I0mtAmkBajm9nrORDdhooUaISZZRKr0SZj8jxMKyX-ciAvFev_Mv8JHiWx4a-D-Ygw_ZvZLO5W220tALvk1Kwwv3_l39AnqKYLq_tkGy3N7f2HQChVh95Sz8iT2Zfvs0X9zEOAZY |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9QwELZKUQUceBQQS3lYiAMc3LWdZJM9VhXVAt29tJV6sxzHblfsJikJ6nLhtzPjOCkcUCWOseyJ5Rl7vrFmPhPy3uVTHWmnmYbgAAOUgmWx48xIyx1PuIMOmG2xmMzO4i_nyfkWOexrYTCtMpz93ZnuT-vQMg6rOa6Xy_EJeGsJ-Bt8VuRZV-6Qu3EiU4zA9n8NeR4CELvnkILeDLvflPF0InzjB5F89FJYhiQLl1V5cQWu41_Oaudal06XF3-4oqPH5GHAkPSgm-YTsmXLXfIo4EkadmuzSx7MB05W-NrxyZ6meUquDpqf67qtoJ32Zfq0crQjB6HNugL10cEoKeBami9rDIIppqD71Nl8ZelC40TZSVt9sw2b6w3eBNKOHJpi4QqtAZyvdfOMnB19Oj2csfD0AjNRyluWFpGeOqHFNE-FyyyiRoAasgA0YEyms8hNuZkAnLDg4myseZGYXLp0IqwUuYmek-2yKu0LQqOYO4jaJMf9aDjXcZxOilwUsojgL8mI7A3rreqOYkNBUCU5FvGOSNxrQJnAWo6PZ6zUTXoaKFGhEpVIlFeiykZkfxjWy7xlQNarV_1lfwpcy21D3wVzUGH_N6rZXK82ubISL5QSsMKX_y__Lbk3O50fq-PPi6975D6K7JLcXpHt9vsP-xpQUZu_8Vb_Gxt-Ays |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=ASYMPTOTIC+BEHAVIOR+OF+GLOBAL+SMOOTH+SOLUTIONS+FOR+BIPOLAR+COMPRESSIBLE+NAVIER-STOKES-MAXWELL+SYSTEM+FROM+PLASMAS&rft.jtitle=%E6%95%B0%E5%AD%A6%E7%89%A9%E7%90%86%E5%AD%A6%E6%8A%A5%EF%BC%9AB%E8%BE%91%E8%8B%B1%E6%96%87%E7%89%88&rft.au=%E5%86%AF%E8%B7%83%E7%BA%A2+%E7%8E%8B%E6%9C%AF+%E6%9D%8E%E6%96%B0&rft.date=2015-09-01&rft.issn=0252-9602&rft.eissn=1572-9087&rft.issue=5&rft.spage=955&rft.epage=969&rft_id=info:doi/10.1016%2FS0252-9602%2815%2930030-8&rft.externalDocID=666203582 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F86464X%2F86464X.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fsxwlxb-e%2Fsxwlxb-e.jpg |