Navier-Stokes-Fourier system with Dirichlet boundary conditions

We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous, and heat-conducting fluid in a bounded domain , d = 2, 3, with general non-homogeneous Dirichlet boundary conditions for the velocity and the absolute temperature, with the associated boundary conditions f...

Full description

Saved in:
Bibliographic Details
Published inApplicable analysis Vol. 101; no. 12; pp. 4076 - 4094
Main Authors Chaudhuri, Nilasis, Feireisl, Eduard
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 13.08.2022
Taylor & Francis Ltd
Subjects
Boundary conditions
Compressibility
Conducting fluids
Dirichlet boundary conditions
Dirichlet problem
Fluid flow
Heat transmission
Navier-Stokes equations
Navier-Stokes-Fourier system
Temperature
weak solution
weak-strong uniqueness
Online AccessGet full text
ISSN0003-6811
1563-504X
DOI10.1080/00036811.2021.1992396

Cover

More Information
Summary:We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous, and heat-conducting fluid in a bounded domain , d = 2, 3, with general non-homogeneous Dirichlet boundary conditions for the velocity and the absolute temperature, with the associated boundary conditions for the density on the inflow part. We introduce a new concept of a weak solution based on the satisfaction of the entropy inequality together with a balance law for the ballistic energy. We show the weak-strong uniqueness principle as well as the existence of global-in-time solutions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2021.1992396