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

Autori
Mácha, Václav ; Muha, Boris ; Nečasová, Šárka ; Roy, Arnab ; Trifunović, Srđan

Izvornik
Communications in partial differential equations (0360-5302) 47 (2022), 8; 1591-1635

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
fluid-structure interaction ; heat-conducting fluid ; Navier-Stokes-Fourier system ; thermoelasticity

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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