Special Session 26: 

Body with a cavity filled with a compressible fluid

Vaclav Macha
Czech Academy of Sciences
Czech Rep
Co-Author(s):    G. P. Galdi, S. Necasova
Abstract:
We study the dynamics of a system composed by a rigid body containing a visous compressible fluid. The emphasis is laid upon the analysis of the long time behavior of the whole system. We show that for small initial data the whole system tends to a permanent rotation similarly as in the incompressible case. On the other hand, we highlight some problems coming from compressibility which do not allow to prove the same for solutions emanating from arbitrary initial data.