Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00554415" target="_blank" >RIV/67985840:_____/22:00554415 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/22:00364802

Výsledek na webu

<a href="https://doi.org/10.1137/21M1419246" target="_blank" >https://doi.org/10.1137/21M1419246</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/21M1419246" target="_blank" >10.1137/21M1419246</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data

Popis výsledku v původním jazyce

We prove global existence of weak solutions for a version of the one velocity Baer--Nunziato system with dissipation describing a mixture of two noninteracting viscous compressible fluids in a piecewise regular Lipschitz domain with general inflow/outflow boundary conditions. The geometrical setting is general enough to comply with most current domains important for applications, such as (curved) pipes of piecewise regular and axis-dependent cross-sections. For the existence proof, we adapt to the system the classical Lions--Feireisl approach to the compressible Navier--Stokes equations which is combined with a generalization of the theory of renormalized solutions to the transport equations in the spirit of Vasseur, Wen, and Yu [J. Math. Pures Appl. (9), 125 (2019), pp. 247--282]. The results related to the families of transport equations presented in this paper extend/improve some statements of the theory of renormalized solutions and are therefore of independent interest.

Název v anglickém jazyce

Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data

Popis výsledku anglicky

We prove global existence of weak solutions for a version of the one velocity Baer--Nunziato system with dissipation describing a mixture of two noninteracting viscous compressible fluids in a piecewise regular Lipschitz domain with general inflow/outflow boundary conditions. The geometrical setting is general enough to comply with most current domains important for applications, such as (curved) pipes of piecewise regular and axis-dependent cross-sections. For the existence proof, we adapt to the system the classical Lions--Feireisl approach to the compressible Navier--Stokes equations which is combined with a generalization of the theory of renormalized solutions to the transport equations in the spirit of Vasseur, Wen, and Yu [J. Math. Pures Appl. (9), 125 (2019), pp. 247--282]. The results related to the families of transport equations presented in this paper extend/improve some statements of the theory of renormalized solutions and are therefore of independent interest.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA19-04243S" target="_blank" >GA19-04243S: Parciální diferenciální rovnice v mechanice a termodynamice tekutin</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

1095-7154

Svazek periodika

54

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

54

Strana od-do

818-871

Kód UT WoS článku

000762768000024

EID výsledku v databázi Scopus

2-s2.0-85128914685