Stationary flow of non-Newtonian fluid with nonmonotone frictional boundary conditions

We study the stationary two-dimensional incompressible flow of non-Newtonian fluid governed by a nonlinear constitutive law and with a multivalued nonmonotone subdifferential frictional boundary condition. We provide an abstract result on existence of solution to an operator inclusion modeling the f...

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Published inZeitschrift für angewandte Mathematik und Physik Vol. 66; no. 5; pp. 2625 - 2646
Main Authors Dudek, Sylwia, Kalita, Piotr, Migórski, Stanisław
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.10.2015
Subjects
Engineering
Mathematical Methods in Physics
Theoretical and Applied Mechanics
Hemivariational inequality
Clarke subdifferential
47J20
49J40
Operator inclusion
76D05
Frictional contact
35Q30
Navier–Stokes flow
Non-Newtonian fluid
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ISSN0044-2275
1420-9039
DOI10.1007/s00033-015-0545-7

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Summary:We study the stationary two-dimensional incompressible flow of non-Newtonian fluid governed by a nonlinear constitutive law and with a multivalued nonmonotone subdifferential frictional boundary condition. We provide an abstract result on existence of solution to an operator inclusion modeling the flow phenomenon. We prove a theorem on existence and, under additional assumptions, also uniqueness of weak solution to the flow problem.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-015-0545-7