Motion of several rigid bodies in a compressible fluid - mixed case

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00565915" target="_blank" >RIV/67985840:_____/22:00565915 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.4171/ESIAM/3/6" target="_blank" >http://dx.doi.org/10.4171/ESIAM/3/6</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4171/ESIAM/3/6" target="_blank" >10.4171/ESIAM/3/6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Motion of several rigid bodies in a compressible fluid - mixed case

Popis výsledku v původním jazyce

n this article we show local-in-time existence of a weak solution to a system of partial differential equations describing the evolution of a compressible isentropic fluid which contains several rigid bodies. The fluid-structure interaction is incorporated by the Navier-slip boundary condition at the interface of the fluid and the rigid bodies. At the boundary of the fluid’s container, we assume Dirichlet boundary conditions. This work follows an earlier article of the same authors regarding the evolution of a compressible fluid that contains one rigid body and assumes Navier-slip boundary conditions at the interface as well as at the boundary of the container. The novelties comprise a new bound on the maximal time, for which we can prove existence of weak solutions, different test functions and a different extension of the fluid velocity from the fluid domain to the whole container.

Název v anglickém jazyce

Motion of several rigid bodies in a compressible fluid - mixed case

Popis výsledku anglicky

n this article we show local-in-time existence of a weak solution to a system of partial differential equations describing the evolution of a compressible isentropic fluid which contains several rigid bodies. The fluid-structure interaction is incorporated by the Navier-slip boundary condition at the interface of the fluid and the rigid bodies. At the boundary of the fluid’s container, we assume Dirichlet boundary conditions. This work follows an earlier article of the same authors regarding the evolution of a compressible fluid that contains one rigid body and assumes Navier-slip boundary conditions at the interface as well as at the boundary of the container. The novelties comprise a new bound on the maximal time, for which we can prove existence of weak solutions, different test functions and a different extension of the fluid velocity from the fluid domain to the whole container.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA22-01591S" target="_blank" >GA22-01591S: Matematická teorie a numerická analýza rovnic vazkých newtonovských stlačitelných 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 knihy nebo sborníku

Interactions between Elasticity and Fluid Mechanics

ISBN

978-3-98547-027-3

Počet stran výsledku

40

Strana od-do

135-174

Počet stran knihy

248

Název nakladatele

EMS

Místo vydání

Berlin

Kód UT WoS kapitoly

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