Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00495258" target="_blank" >RIV/67985840:_____/18:00495258 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s11425-017-9272-7" target="_blank" >http://dx.doi.org/10.1007/s11425-017-9272-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11425-017-9272-7" target="_blank" >10.1007/s11425-017-9272-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law

Popis výsledku v původním jazyce

We consider the Navier-Stokes equations with a pressure function satisfying a hard-sphere law. That means the pressure, as a function of the density, becomes infinite when the density approaches a finite critical value. Under some structural constraints imposed on the pressure law, we show a weak-strong uniqueness principle in periodic spatial domains. The method is based on a modified relative entropy inequality for the system. The main difficulty is that the pressure potential associated with the internal energy of the system is largely dominated by the pressure itself in the area close to the critical density. As a result, several terms appearing in the relative energy inequality cannot be controlled by the total energy.

Název v anglickém jazyce

Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law

Popis výsledku anglicky

We consider the Navier-Stokes equations with a pressure function satisfying a hard-sphere law. That means the pressure, as a function of the density, becomes infinite when the density approaches a finite critical value. Under some structural constraints imposed on the pressure law, we show a weak-strong uniqueness principle in periodic spatial domains. The method is based on a modified relative entropy inequality for the system. The main difficulty is that the pressure potential associated with the internal energy of the system is largely dominated by the pressure itself in the area close to the critical density. As a result, several terms appearing in the relative energy inequality cannot be controlled by the total energy.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

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 periodika

Science China Mathematics

ISSN

1674-7283

e-ISSN

—

Svazek periodika

61

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

CN - Čínská lidová republika

Počet stran výsledku

14

Strana od-do

2003-2016

Kód UT WoS článku

000447411300006

EID výsledku v databázi Scopus

2-s2.0-85052921099