Motion of a rigid body in a compressible fluid with Navier-slip boundary condition

0560271 - MÚ 2023 RIV US eng J - Journal Article
Nečasová, Šárka - Ramaswamy, M. - Roy, Arnab - Schlömerkemper, A.
Motion of a rigid body in a compressible fluid with Navier-slip boundary condition.
Journal of Differential Equations. Roč. 338, 25 November (2022), s. 256-320. ISSN 0022-0396. E-ISSN 1090-2732
R&D Projects: GA ČR(CZ) GA19-04243S; GA ČR(CZ) GA22-01591S
Grant - others:AV ČR(CZ) AP2101
Program: Akademická prémie - Praemium Academiae
Institutional support: RVO:67985840
Keywords : compressible fluid flows * Navier-Stokes system
OECD category: Pure mathematics
Impact factor: 2.4, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.jde.2022.07.045

In this work, we study the motion of a rigid body in a bounded domain which is filled with a compressible isentropic fluid. We consider the Navier-slip boundary condition at the interface as well as at the boundary of the domain. This is the first mathematical analysis of a compressible fluid-rigid body system where Navier-slip boundary conditions are considered. We prove existence of a weak solution of the fluid-structure system up to collision.
Permanent Link: https://hdl.handle.net/11104/0333261