Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00584769" target="_blank" >RIV/67985840:_____/24:00584769 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1142/S0218202524500118" target="_blank" >https://doi.org/10.1142/S0218202524500118</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218202524500118" target="_blank" >10.1142/S0218202524500118</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains

Popis výsledku v původním jazyce

In this paper, we consider the heat-conducting compressible self-gravitating fluids in time-dependent domains, which typically describe the motion of viscous gaseous stars. The flow is governed by the 3D Navier-Stokes-Fourier-Poisson equations where the velocity is supposed to fulfill the full-slip boundary condition and the temperature on the boundary is given by a non-homogeneous Dirichlet condition. We establish the global-in-time weak solution to the system. Our approach is based on the penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Moreover, to accommodate the non-homogeneous boundary heat flux, the concept of ballistic energy is utilized in this work.

Název v anglickém jazyce

Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains

Popis výsledku anglicky

In this paper, we consider the heat-conducting compressible self-gravitating fluids in time-dependent domains, which typically describe the motion of viscous gaseous stars. The flow is governed by the 3D Navier-Stokes-Fourier-Poisson equations where the velocity is supposed to fulfill the full-slip boundary condition and the temperature on the boundary is given by a non-homogeneous Dirichlet condition. We establish the global-in-time weak solution to the system. Our approach is based on the penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Moreover, to accommodate the non-homogeneous boundary heat flux, the concept of ballistic energy is utilized in this work.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GC22-08633J" target="_blank" >GC22-08633J: Kvalitativní teorie MHD a příbuzných rovnic</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Mathematical Models and Methods in Applied Sciences

ISSN

0218-2025

e-ISSN

1793-6314

Svazek periodika

34

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

46

Strana od-do

659-704

Kód UT WoS článku

001189895800004

EID výsledku v databázi Scopus

2-s2.0-85188740174