Global solvability for the porous medium equation with boundary flux governed by nonlinear memory

DOI10.1016/J.JMAA.2014.10.041zbMath1382.35140OpenAlexW2043751928MaRDI QIDQ472324

Jeffrey R. Anderson, Keng Deng

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.041

zbMATH Keywords

global existencenonlinear diffusion equationblow-up in finite timememory boundary condition

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59)

Related Items (7)

Solvability of nonlinear diffusion models with flux at the boundary driven by nonmonotone local and memory interactions ⋮ Life span bounds for reaction-diffusion equation with a space-time integral source term ⋮ Nonlinear boundary value problem for pseudoparabolic equation ⋮ Global existence of solutions of a semilinear heat equation with nonlinear memory condition ⋮ Global existence and blow-up for the fast diffusion equation with a memory boundary condition ⋮ Global behavior of solutions to the fast diffusion equation with boundary flux governed by memory ⋮ A fast diffusion model with memory at the boundary: global solvability in the critical case

Cites Work

• Unnamed Item
• Unnamed Item
• Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
• Blow-up and blow-up rate for a reaction-diffusion model with multiple nonlinearities
• Global solvability for the heat equation with boundary flux governed by nonlinear memory
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions
• Continuity of solutions of a singular parabolic equation
• Global Behavior of Positive Solutions to Nonlinear Diffusion Problems with Nonlinear Absorption Through the Boundary

This page was built for publication: Global solvability for the porous medium equation with boundary flux governed by nonlinear memory