L-p-strong solution to fluid-rigid body interaction system with Navier slip boundary condition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00548750" target="_blank" >RIV/67985840:_____/21:00548750 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/s41808-021-00134-9" target="_blank" >https://doi.org/10.1007/s41808-021-00134-9</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s41808-021-00134-9" target="_blank" >10.1007/s41808-021-00134-9</a>

Jazyk výsledku

angličtina

Název v původním jazyce

L-p-strong solution to fluid-rigid body interaction system with Navier slip boundary condition

Popis výsledku v původním jazyce

We study a fluid-structure interaction problem describing movement of a rigid body inside a bounded domain filled by a viscous fluid. The fluid is modelled by the generalized incompressible Naiver–Stokes equations which include cases of Newtonian and non-Newtonian fluids. The fluid and the rigid body are coupled via the Navier slip boundary conditions and balance of forces at the fluid-rigid body interface. Our analysis also includes the case of the nonlinear slip condition. The main results assert the existence of strong solutions, in an Lp- Lq setting, globally in time, for small data in the Newtonian case, while existence of strong solutions in Lp-spaces, locally in time, is obtained for non-Newtonian case. The proof for the Newtonian fluid essentially uses the maximal regularity property of the associated linear system which is obtained by proving the R-sectoriality of the corresponding operator. The existence and regularity result for the general non-Newtonian fluid-solid system then relies upon the previous case. Moreover, we also prove the exponential stability of the system in the Newtonian case.

Název v anglickém jazyce

L-p-strong solution to fluid-rigid body interaction system with Navier slip boundary condition

Popis výsledku anglicky

We study a fluid-structure interaction problem describing movement of a rigid body inside a bounded domain filled by a viscous fluid. The fluid is modelled by the generalized incompressible Naiver–Stokes equations which include cases of Newtonian and non-Newtonian fluids. The fluid and the rigid body are coupled via the Navier slip boundary conditions and balance of forces at the fluid-rigid body interface. Our analysis also includes the case of the nonlinear slip condition. The main results assert the existence of strong solutions, in an Lp- Lq setting, globally in time, for small data in the Newtonian case, while existence of strong solutions in Lp-spaces, locally in time, is obtained for non-Newtonian case. The proof for the Newtonian fluid essentially uses the maximal regularity property of the associated linear system which is obtained by proving the R-sectoriality of the corresponding operator. The existence and regularity result for the general non-Newtonian fluid-solid system then relies upon the previous case. Moreover, we also prove the exponential stability of the system in the Newtonian case.

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

2021

Kód důvěrnosti údajů

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

Název periodika

Journal of Elliptic and Parabolic Equations

ISSN

2296-9020

e-ISSN

—

Svazek periodika

7

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

51

Strana od-do

439-489

Kód UT WoS článku

000712496000001

EID výsledku v databázi Scopus

2-s2.0-85117889785