New Trends in Quantum and Classical Kinetic Equations and Related PDEs

Global weak solutions of PDEs for compressible media

Pierre-Emmanuel Jabin

University of Maryland

We present global in time existence of solutions for some non-linear coupled system like the compressible Navier-Stokes equations, some models of tumor growth... The results are based on a new method to estimate the explicit regularity of the density, where a new log log scale for transport equation appears. This is a joint work with D. Bresch.