Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00559954" target="_blank" >RIV/67985840:_____/22:00559954 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1080/03605302.2022.2068425" target="_blank" >https://doi.org/10.1080/03605302.2022.2068425</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/03605302.2022.2068425" target="_blank" >10.1080/03605302.2022.2068425</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

Popis výsledku v původním jazyce

In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a fluid governed by the full Navier-Stokes-Fourier system. The fluid and the shell are fully coupled, giving rise to a novel nonlinear moving boundary fluid-structure interaction problem involving heat exchange. The existence of a weak solution is obtained by combining three approximation techniques–decoupling, penalization and domain extension. In particular, the penalization and the domain extension allow us to use the methods already developed for compressible fluids on moving domains. In such a way, the proof is more elegant and the analysis is drastically simplified. Let us stress that this is the first time the heat exchange in the context of fluid-structure interaction problems is considered.

Název v anglickém jazyce

Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

Popis výsledku anglicky

In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a heat-conducting fluid. The shell is governed by linear thermoelasticity equations and encompasses a time-dependent domain which is filled with a fluid governed by the full Navier-Stokes-Fourier system. The fluid and the shell are fully coupled, giving rise to a novel nonlinear moving boundary fluid-structure interaction problem involving heat exchange. The existence of a weak solution is obtained by combining three approximation techniques–decoupling, penalization and domain extension. In particular, the penalization and the domain extension allow us to use the methods already developed for compressible fluids on moving domains. In such a way, the proof is more elegant and the analysis is drastically simplified. Let us stress that this is the first time the heat exchange in the context of fluid-structure interaction problems is considered.

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

Communications in Partial Differential Equations

ISSN

0360-5302

e-ISSN

1532-4133

Svazek periodika

47

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

45

Strana od-do

1591-1635

Kód UT WoS článku

000792721100001

EID výsledku v databázi Scopus

2-s2.0-85130108373