Speaker：Maolin Zhou, University of New England, Australia

Title:  Some Results on porous medium equation: regularity and propagation

Time：2016-12-22, 16:00-17:00

Venue：Room 316 of Environment Building, Renmin University

Abstract:  It is well known that for m > 1, a solution of the porous medium equation u_t-\Delta_u^m =0 has a free boundary. In this talk, I will introduce two recent results on the free boundary: 1.if the support of the initial datum is convex, then the free boundary is C^\infty smooth; 2. for the nonlinear porous medium equation u_t -\Delta u^m = u-u^2, we can give out a sharp estimate on the propagation of the free boundary with radially symmetry initial datum in higher dimensional cases.