Life span bounds for reaction–diffusion equation with a space–time integral source term

W Huo, ZB Fang - Zeitschrift für angewandte Mathematik und Physik, 2023 - Springer
In this paper, we study the blow-up phenomena of the Dirichlet initial boundary value
problem for reaction–diffusion equation with a space–time integral source term. By virtue of …

Solvability of nonlinear diffusion models with flux at the boundary driven by nonmonotone local and memory interactions

JR Anderson - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
We investigate local and global solvability for nonlinear diffusion models with boundary flux
driven by competing local and memory interactions. New local existence and comparison …