8 citations · 21 across the 7 of their papers we have counts for
8 papers · 1 filter
Propagation dynamics of solutions to spatially periodic reaction-diffusion systems with hybrid nonlinearity
Quentin Griette, Hiroshi Matano
In this paper we investigate the dynamical properties of a spatially periodic reaction-diffusion system {whose reaction terms are of hybrid nature in the sense that they are partly…
Dynamics of time-periodic reaction-diffusion equations with front-like initial data on
Weiwei Ding, Hiroshi Matano
This paper is concerned with the Cauchy problem where is a rather general nonli…
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…
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…
Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation
Matthieu Alfaro, Dimitra Antonopoulou, Georgia Karali +1
We study an $\ep$-dependent stochastic Allen--Cahn equation with a mild random noise on a bounded domain in , . Here $\ep$ is a small positive parameter that…
Dynamics of Time-Periodic Reaction-Diffusion Equations with Compact Initial Support on R
Weiwei Ding, Hiroshi Matano
This paper is concerned with the asymptotic behavior of bounded solutions of the Cauchy problem \begin{equation*} \left\{ \begin{array}{ll} u_t=u_{xx} +f(t,u), & x\in\mathbb{R},\,t…