Special Session 56: Local and nonlocal diffusion in mathematical biology

Asymptotic behaviors of solutions to a reaction-diffusion equation with free boundaries
Yuki Kaneko
Kanto Gakuin University
Japan
Co-Author(s):    
Abstract:
This talk is concerned with a reaction-diffusion equation in a one-dimensional interval whose boundaries are unknown and determined together with the density function. We impose one-phase Stefan conditions to the free boundaries with different coefficients as parameters. Then we can observe that a spreading solution converges to some different kinds of propagating terrace, depending on the parameters, as time tends to infinity. We will also discuss future problems.