Display Abstract

Title On some two phase free boundary problem for compressible viscous fluid flow

Name Yoshihiro Shibata
Country Japan
Email yshibata@waseda.jp
Co-Author(s) Yoshihiro Shibata
Submit Time 2014-02-26 18:11:18
Session
Special Session 23: Recent progress in the mathematical theory of compressible fluid flows
Contents
I would like to talk about a local well-posedness and also a global well-posedness of the evolution of two compressible fluids separated by a sharp interface without surface tension. One of the key issues is to prove the maximal regularity for the linearized problem. I used the $R$ bounded solution operator to the corresponding resolvent problem and the Weis operator valued Fourier multiplier theorem. This talk is based on a joint work with Takayuki Kubo, Tsukuba University.