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

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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Veröffentlicht in:Archive for rational mechanics and analysis 2021-07, Vol.241 (1), p.475-495
Hauptverfasser: Feireisl, Eduard, Kwon, Young-Sam, Novotný, Antonín
Format: Artikel
Sprache:eng
Schlagworte:
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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Beschreibung
Zusammenfassung: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