Regularity issues in the problem of fluid structure interaction

Details Regularity issues in the problem of fluid structure interaction Regularity issues in the problem of fluid structure interaction

2008-05-17

arxiv.org/abs/0805.2654v1

Mathematics

Analysis of PDEs

Scientific paper

10.1007/s00205-008-0202-9

We investigate the evolution of rigid bodies in a viscous incompressible fluid. The flow is governed by the 2D Navier-Stokes equations, set in a bounded domain with Dirichlet boundary conditions. The boundaries of the solids and the domain have H\"older regularity $C^{1, \alpha}$, $0 < \alpha \le 1$. First, we show the existence and uniqueness of strong solutions up to collision. A key ingredient is a BMO bound on the velocity gradient, which substitutes to the standard $H^2$ estimate for smoother domains. Then, we study the asymptotic behaviour of one $C^{1, \alpha}$ body falling over a flat surface. We show that collision is possible in finite time if and only if $\alpha < 1/2$.

Affiliated with

Also associated with

No associations

Rating

Regularity issues in the problem of fluid structure interaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Regularity issues in the problem of fluid structure interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity issues in the problem of fluid structure interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-614274