Two-dimensional reaction-diffusion equations with memory
Two-dimensional reaction-diffusion equations with memory
In a two-dimensional space domain, we consider a reaction-diffusion equation whose diffusion term is a time convolution of the Laplace operator against a nonincreasing summable memory kernel $k$. This equation models several phenomena arising from many different areas. After rescaling $k$ by a relaxation time $\varepsilon >0$, we formulate a …