Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid

Abstract

We consider a bounded domain $\Omega \subset {\mathbb{R}}^3$ and a rigid body $\mathcal{S}(t)\subset \Omega$ moving inside a viscous compressible Newtonian fluid. We exploit the roughness of the body to show that the solid collides its container in finite time. We investigate the case when the boundary of the body is of $C^{1,\alpha }$-regularity and show that collision can happen for some suitable range of $\alpha$. We also discuss some no-collision results for the smooth body case.

published version in JDE

References in corpus (3)

• Regularity issues in the problem of fluid structure interaction
• Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
• A collision result for both non-Newtonian and heat conducting Newtonian compressible fluids