Global existence of solutions of a semilinear heat equation with nonlinear memory condition
We consider a semilinear parabolic equation with flux at the boundary governed by a
nonlinear memory. We give some conditions for this problem which guarantee global …
nonlinear memory. We give some conditions for this problem which guarantee global …
Blow up and global solvability for an absorptive porous medium equation with memory at the boundary
JR Anderson, K Deng - IMA Journal of Applied Mathematics, 2021 - academic.oup.com
We study the characterization of global solvability versus blow up in finite time for a porous
medium model including a balance of internal absorption with memory driven flux through …
medium model including a balance of internal absorption with memory driven flux through …
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 …
driven by competing local and memory interactions. New local existence and comparison …