Special Session 127: 

Spreading profile of solutions for a free boundary problem of a nonlinear diffusion equation with a positive bistable nonlinearity

Hiroshi Matsuzawa
National Institute of Technology, Numazu College
Japan
Co-Author(s):    Yuki Kaneko and Yoshio Yamada
Abstract:
From the work of [Du-Lin, 2010], the propagation phenomena in free boundary problems of reaction-diffusion equations attract more and more attention of mathematicians. Among the various studies on the free boundary problem, recent work [Du-Matsuzawa-Zhou, 2014] showed that under certain condition, the profile of solution approaches a traveling wave solution associated with the free boundary problem. In this talk, I will give some recent study on propagation profiles of solutions for the free boundary problem of reaction-diffusion equation with some class of bistable nonlinearity.