WEAK-STRONG UNIQUENESS FOR AN ELASTIC PLATE INTERACTING WITH THE NAVIER-STOKES EQUATIONast

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10456728" target="_blank" >RIV/00216208:11320/22:10456728 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4mQseUupN9" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4mQseUupN9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/21M1443509" target="_blank" >10.1137/21M1443509</a>

Jazyk výsledku

angličtina

Název v původním jazyce

WEAK-STRONG UNIQUENESS FOR AN ELASTIC PLATE INTERACTING WITH THE NAVIER-STOKES EQUATIONast

Popis výsledku v původním jazyce

We show weak-strong uniqueness and stability results for the motion of a two- or three-dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic plate of Koiter type. The plate is situated at the top of the fluid and as such determines the variable part of a time changing domain (that is hence a part of the solution) containing the fluid. The uniqueness result is a consequence of a stability estimate where the difference of two solutions is estimated by the distance of the initial values and outer forces. For that we introduce a methodology that overcomes the problem that the two (variable in time) domains of the fluid velocities and pressures are not the same. The estimate holds under the assumption that one of the two weak solutions possesses some additional higher regularity. The additional regularity is exclusively requested for the velocity of one of the solutions resembling the celebrated Ladyzhenskaya-Prodi-Serrin conditions in the given framework.

Název v anglickém jazyce

WEAK-STRONG UNIQUENESS FOR AN ELASTIC PLATE INTERACTING WITH THE NAVIER-STOKES EQUATIONast

Popis výsledku anglicky

We show weak-strong uniqueness and stability results for the motion of a two- or three-dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic plate of Koiter type. The plate is situated at the top of the fluid and as such determines the variable part of a time changing domain (that is hence a part of the solution) containing the fluid. The uniqueness result is a consequence of a stability estimate where the difference of two solutions is estimated by the distance of the initial values and outer forces. For that we introduce a methodology that overcomes the problem that the two (variable in time) domains of the fluid velocities and pressures are not the same. The estimate holds under the assumption that one of the two weak solutions possesses some additional higher regularity. The additional regularity is exclusively requested for the velocity of one of the solutions resembling the celebrated Ladyzhenskaya-Prodi-Serrin conditions in the given framework.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

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

SIAM Journal on Mathematical Analysis

ISSN

0036-1410

e-ISSN

1095-7154

Svazek periodika

54

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

35

Strana od-do

4104-4138

Kód UT WoS článku

000841107900002

EID výsledku v databázi Scopus

2-s2.0-85135226033