H. Matsuzawa

collaborators

2 papers

math.AP2017

A free boundary problem for the Fisher-KPP equation with a given moving boundary

Hiroshi Matsuzawa

We study free boundary problem of Fisher-KPP equation $u_{t} = u_{xx} + u (1 - u), t > 0, c t < x < h (t)$ . The number $c > 0$ is a given constant, $h (t)$ is a free boundary which is determined by…

math.AP2017

Refined estimates for the propagation speed of the transition solution to a free boundary problem with a nonlinearity of combustion type

Chengxia Lei, Hiroshi Matsuzawa, Rui Peng +1

We are concerned with the nonlinear problem $u_{t} = u_{xx} + f (u)$ , where $f$ is of combustion type, coupled with the Stefan-type free boundary $h (t)$ . According to [4,5], for some crit…