Special Session 117: 

Multidimensional traveling fronts in reaction-diffusion equations

Masaharu Taniguchi
Okayama University
Japan
Co-Author(s):    
Abstract:
Traveling fronts to reaction-diffusion equations in the N-dimensional Euclidean space have been studied recently by many mathematicians. Here N is an integer that is larger or equals 2. If the nonlinear term is unbalanced, there exists an N-dimensional traveling front associated with an given (N-1)-dimensional convex compact set as in [T2015, SIAM J. Math. Anal., T2016, JDE]. In this talk I will review multi-dimensional traveling fronts in reaction-diffusion equations.