Fluid-rigid body interaction in a compressible electrically conducting fluid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00579220" target="_blank" >RIV/67985840:_____/23:00579220 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216208:11320/23:10475748

Výsledek na webu

<a href="https://doi.org/10.1002/mana.202200345" target="_blank" >https://doi.org/10.1002/mana.202200345</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.202200345" target="_blank" >10.1002/mana.202200345</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Fluid-rigid body interaction in a compressible electrically conducting fluid

Popis výsledku v původním jazyce

We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system, we take into account the interaction of the fluid with the bodies as well as with the electromagnetic fields trespassing both the fluid and the solids. The main result of this paper yields the existence of weak solutions to the system. While the mechanical part of the problem can be dealt with via a classical penalization method, the electromagnetic part requires an approximation by means of a hybrid discrete-continuous in time system: The discrete part of the approximation enables us to handle the solution-dependent test functions in our variational formulation of the induction equation, whereas the continuous part makes sure that the nonnegativity of the density and subsequently a meaningful energy inequality is preserved in the approximate system.

Název v anglickém jazyce

Fluid-rigid body interaction in a compressible electrically conducting fluid

Popis výsledku anglicky

We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system, we take into account the interaction of the fluid with the bodies as well as with the electromagnetic fields trespassing both the fluid and the solids. The main result of this paper yields the existence of weak solutions to the system. While the mechanical part of the problem can be dealt with via a classical penalization method, the electromagnetic part requires an approximation by means of a hybrid discrete-continuous in time system: The discrete part of the approximation enables us to handle the solution-dependent test functions in our variational formulation of the induction equation, whereas the continuous part makes sure that the nonnegativity of the density and subsequently a meaningful energy inequality is preserved in the approximate system.

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

2023

Kód důvěrnosti údajů

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

Název periodika

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

1522-2616

Svazek periodika

296

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

38

Strana od-do

5513-5550

Kód UT WoS článku

001002750800001

EID výsledku v databázi Scopus

2-s2.0-85161521394