H. Matano

activity

20072024

most citedThe singular limit of the Allen-Cahn equation and the FitzHugh-Nagumo system

8 citations · 43 across the 16 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AP2019

Dynamics of time-periodic reaction-diffusion equations with front-like initial data on $R$

Weiwei Ding, Hiroshi Matano

This paper is concerned with the Cauchy problem $u_{t} = u_{xx} + f (t, u), x \in R, t > 0,$ $u (0, x) = u_{0} (x), x \in R,$ where $f$ is a rather general nonli…

math.AP2019★ 2 cited

Spreading speeds for multidimensional reaction-diffusion systems of the prey-predator type

Arnaud Ducrot, Thomas Giletti, Hiroshi Matano

We investigate spreading properties of solutions of a large class of two-component reaction-diffusion systems, including prey-predator systems as a special case. By spreading prope…

math.AP2019★ 2 cited

Existence and uniqueness of propagating terraces

Thomas Giletti, Hiroshi Matano

This work focuses on dynamics arising from reaction-diffusion equations , where the profile of propagation is no longer characterized by a single front, but by a layer of several f…

Dynamics of time-periodic reaction-diffusion equations with front-like initial data on R

Spreading speeds for multidimensional reaction-diffusion systems of the prey-predator type

Existence and uniqueness of propagating terraces

Dynamics of time-periodic reaction-diffusion equations with front-like initial data on $R$