# Analysis Seminar

#### Ill-Posedness for the Compressible Navier-Stokes Equations

Speaker: Tsukasa Iwabuchi, Tohoku University

Location: Warren Weaver Hall 1302

Date: Thursday, April 27, 2017, 11 a.m.

Synopsis:

We study the ill-posedness for the compressible Navier-Stokes equations under the barotropic condition by showing the discontinuity of solutions on initial data. The norm inflation is shown in the scaling invariant Besov spaces. The density and velocity are considered in $$\dot B^{1/2}_{2n,1}$$ and $$\dot B^{-1/2}_{2n,1}$$, respectively. We will discuss on which nonlinear terms would have the worst regularity and on its estimates investigating the second iterate.