On the Long-Time Behavior of Dissipative Solutions to Models of Non-Newtonian Compressible Fluids

We identify a class maximal dissipative solutions to models of compressible viscous fluids that maximize the energy dissipation rate. Then we show that any maximal dissipative solution approaches an equilibrium state for large times.

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Bibliographic Details
Published inArchive for rational mechanics and analysis Vol. 241; no. 1; pp. 475 - 495
Main Authors Feireisl, Eduard, Kwon, Young-Sam, Novotný, Antonín
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
Subjects
Classical Mechanics
Complex Systems
Compressible fluids
Computational fluid dynamics
Energy dissipation
Fluid- and Aerodynamics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Viscous fluids
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Summary:We identify a class maximal dissipative solutions to models of compressible viscous fluids that maximize the energy dissipation rate. Then we show that any maximal dissipative solution approaches an equilibrium state for large times.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-021-01657-0