论文标题
固体体内的碰撞/无碰撞结果，其容器在3D可压缩液体中
Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid
论文作者
论文摘要
我们考虑一个有界的域$ω\ subset \ mathbb r^3 $和一个刚体$ \ mathcal {s}（t）（t）\subsetΩ$移动在粘性可压缩的牛顿液中。我们利用身体的粗糙度表明固体在有限的时间内碰撞其容器。当身体的边界为$ c^{1，α} $ - 规律性时，我们调查了案例，并表明在某些合适的$α$范围内可能发生碰撞。我们还讨论了平滑身体案例的一些无碰撞结果。
We consider a bounded domain $Ω\subset\mathbb R^3$ and a rigid body $\mathcal{S}(t)\subsetΩ$ 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 $C^{1,α}$-regularity and show that collision can happen for some suitable range of $α$. We also discuss some no-collision results for the smooth body case.
