Naslov
A Uniqueness Result for 3D Incompressible Fluid-Rigid Body Interaction Problem

Autori
Muha, Boris ; Nečasová, Šárka ; Radošević, Ana

Izvornik
Journal of mathematical fluid mechanics (1422-6928) 23 (2021), 1; 1, 39

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Fluid-structure interaction ; weak-strong uniqueness ; rigid body ; Navier-Stokes equations

Sažetak
We study a 3D nonlinear moving boundary fluid- structure interaction problem describing the interaction of the fluid flow with a rigid body. The fluid flow is governed by 3D incompressible Navier-Stokes equations, while the motion of the rigid body is described by a system of ordinary differential equations called Euler equations for the rigid body. The equations are fully coupled via dynamical and kinematic coupling conditions. We consider two different kinds of kinematic coupling conditions: no-slip and slip. In both cases we prove a generalization of the well-known weak- strong uniqueness result for the Navier-Stokes equations to the fluid-rigid body system. More precisely, we prove that weak solutions that additionally satisfy the Prodi-Serrin Lr−Ls condition are unique in the class of Leray-Hopf weak solutions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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