Nonplanar traveling waves of a bistable reaction diffusion equation in the multi dimensional space (Mathematical and numerical analysis for interface motion arising in nonlinear phenomena)
Yoshihisa Morita · Institutional Repositories DataBase (IRDB) · 2012
We survey the existence result for nonplanar traveling waves of a bistable reaction-diffusion equation in the space \mat hbb{ R} ^{ n+1} , which gives a heteroclinic connection of the trivial solution and the unstable standing wave in \mat hbb{ R} ^{ n} .Since the problem can be formulated in a monostable case, the equation allows a continuous family of the traveling waves with the speed in a semi-infinite interval.