Dissipative measure-valued solutions to the compressible Navier-Stokes system

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00465180" target="_blank" >RIV/67985840:_____/16:00465180 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s00526-016-1089-1" target="_blank" >http://dx.doi.org/10.1007/s00526-016-1089-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00526-016-1089-1" target="_blank" >10.1007/s00526-016-1089-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dissipative measure-valued solutions to the compressible Navier-Stokes system

Popis výsledku v původním jazyce

We introduce a new concept of dissipative measure-valued solution to the compressible Navier-Stokes system satisfying, in addition, a relevant form of the total energy balance. Then we show that a dissipative measure-valued and a standard smooth classical solution originating from the same initial data coincide (weak-strong uniqueness principle) as long as the latter exists. Such a result facilitates considerably the proof of convergence of solutions to various approximations including certain numerical schemes that are known to generate a measure-valued solution. As a byproduct we show that any measure-valued solution with bounded density component that starts from smooth initial data is necessarily a classical one.

Název v anglickém jazyce

Dissipative measure-valued solutions to the compressible Navier-Stokes system

Popis výsledku anglicky

We introduce a new concept of dissipative measure-valued solution to the compressible Navier-Stokes system satisfying, in addition, a relevant form of the total energy balance. Then we show that a dissipative measure-valued and a standard smooth classical solution originating from the same initial data coincide (weak-strong uniqueness principle) as long as the latter exists. Such a result facilitates considerably the proof of convergence of solutions to various approximations including certain numerical schemes that are known to generate a measure-valued solution. As a byproduct we show that any measure-valued solution with bounded density component that starts from smooth initial data is necessarily a classical one.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Calculus of Variations and Partial Differential Equations

ISSN

0944-2669

e-ISSN

—

Svazek periodika

55

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

20

Strana od-do

—

Kód UT WoS článku

000390043500012

EID výsledku v databázi Scopus

2-s2.0-84994337374