In the following we will discuss some known results on the behavior of solutions to reaction-diffusion equations. We will be concerned with the stability of steady-state solutions in different classes of domains. A result in Matano states that for convex domains, every non-constant stable steady-state solution to the reaction-diffusion equation is unstable. As an application of a theorem in Matano, we show that this result for convex domains does not generalize to the larger class of star-shaped domains
AbstractSome coupled reaction-diffusion systems arising from chemical diffusion processes and combus...
AbstractWe analyse a reaction-diffusion system and show that complex spatial patterns can be generat...
AbstractWhen a certain condition is satisfied, a reaction-diffusion equation has a spatially homogen...
AbstractThis paper is concerned with some dynamical property of a reaction-diffusion equation with n...
AbstractReaction diffusion equations over surfaces of revolution are considered. It is shown that st...
We study reaction-diffusion equations in cylinders with possibly nonlinear diffusion and possibly no...
This paper considers the Degn–Harrison reaction–diffusion system subject to homogeneous Neumann boun...
AbstractUnder the condition that f(x, y, z, α) and its partial derivatives decay sufficiently fast a...
Asymptotic solutions are presented to the nonlinear parabolic reaction-diffusion equations describin...
AbstractA new result is derived which extends a known instability result for a class of reaction-dif...
We analyse a reaction-diffusion system and show that complex spatial patterns can be generated by im...
summary:Reaction-diffusion systems are studied under the assumptions guaranteeing diffusion driven i...
AbstractFor systems of reaction-diffusion equations with Neumann boundary conditions, it is shown th...
This paper explores the classification of parameter spaces for reaction-diffusion systems of two che...
We study the reaction-diffusion system, its stationary solutions, the behavior of the system near t...
AbstractSome coupled reaction-diffusion systems arising from chemical diffusion processes and combus...
AbstractWe analyse a reaction-diffusion system and show that complex spatial patterns can be generat...
AbstractWhen a certain condition is satisfied, a reaction-diffusion equation has a spatially homogen...
AbstractThis paper is concerned with some dynamical property of a reaction-diffusion equation with n...
AbstractReaction diffusion equations over surfaces of revolution are considered. It is shown that st...
We study reaction-diffusion equations in cylinders with possibly nonlinear diffusion and possibly no...
This paper considers the Degn–Harrison reaction–diffusion system subject to homogeneous Neumann boun...
AbstractUnder the condition that f(x, y, z, α) and its partial derivatives decay sufficiently fast a...
Asymptotic solutions are presented to the nonlinear parabolic reaction-diffusion equations describin...
AbstractA new result is derived which extends a known instability result for a class of reaction-dif...
We analyse a reaction-diffusion system and show that complex spatial patterns can be generated by im...
summary:Reaction-diffusion systems are studied under the assumptions guaranteeing diffusion driven i...
AbstractFor systems of reaction-diffusion equations with Neumann boundary conditions, it is shown th...
This paper explores the classification of parameter spaces for reaction-diffusion systems of two che...
We study the reaction-diffusion system, its stationary solutions, the behavior of the system near t...
AbstractSome coupled reaction-diffusion systems arising from chemical diffusion processes and combus...
AbstractWe analyse a reaction-diffusion system and show that complex spatial patterns can be generat...
AbstractWhen a certain condition is satisfied, a reaction-diffusion equation has a spatially homogen...