Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00502440" target="_blank" >RIV/67985840:_____/18:00502440 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/978-3-319-13344-7_76" target="_blank" >http://dx.doi.org/10.1007/978-3-319-13344-7_76</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-13344-7_76" target="_blank" >10.1007/978-3-319-13344-7_76</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior

Popis výsledku v původním jazyce

This double-sized chapter contains two related themes that were supposed to be covered by two independent chapters of the handbook in the original project: (1) weak solutions of the Navier-Stokes equations in the barotropic regime and (2) weak solutions of the Navier-Stokes-Fourier system. We shall discuss for both systems: (1)Various notions of weak solutions, their relevance, and their mutual relations. (2)Global existence of weak solutions. (3)Notions of relative energy functional, dissipative solutions and relative energy inequality and its impact on the investigation of the stability analysis of compressible flows. (4)Weak strong uniqueness principle. (5)Longtime behavior of weak solutions. For physical reasons, we shall limit ourselves to the three-dimensional physical space.

Název v anglickém jazyce

Weak Solutions for the Compressible Navier-Stokes Equations: Existence, Stability, and Longtime Behavior

Popis výsledku anglicky

This double-sized chapter contains two related themes that were supposed to be covered by two independent chapters of the handbook in the original project: (1) weak solutions of the Navier-Stokes equations in the barotropic regime and (2) weak solutions of the Navier-Stokes-Fourier system. We shall discuss for both systems: (1)Various notions of weak solutions, their relevance, and their mutual relations. (2)Global existence of weak solutions. (3)Notions of relative energy functional, dissipative solutions and relative energy inequality and its impact on the investigation of the stability analysis of compressible flows. (4)Weak strong uniqueness principle. (5)Longtime behavior of weak solutions. For physical reasons, we shall limit ourselves to the three-dimensional physical space.

Druh

C - Kapitola v odborné knize

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

ISBN

978-3-319-13343-0

Počet stran výsledku

166

Strana od-do

1381-1546

Počet stran knihy

3045

Název nakladatele

Springer

Místo vydání

Cham

Kód UT WoS kapitoly

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