Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00500493" target="_blank" >RIV/67985840:_____/19:00500493 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.5007824" target="_blank" >http://dx.doi.org/10.1063/1.5007824</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.5007824" target="_blank" >10.1063/1.5007824</a>

Result language
angličtina
Original language name
Weak-strong uniqueness for fluid-rigid body interaction problem with slip boundary condition
Original language description
We consider a coupled partial differential equation-ordinary differential equation system describing the motion of the rigid body in a container filled with the incompressible, viscous fluid. The fluid and the rigid body are coupled via Navier’s slip boundary condition. We prove that the local in time strong solution is unique in the larger class of weak solutions on the interval of its existence. This is the first weak-strong uniqueness result in the area of fluid-structure interaction with a moving boundary.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-03230S" target="_blank" >GA16-03230S: Thermodynamically consistent models for fluid flows: mathematical theory and numerical solution</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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