Blow-up solution of a porous medium equation with nonlocal boundary conditions

DOI10.1155/2020/9037287zbMath1448.35056OpenAlexW3036610664MaRDI QIDQ781776

Huimin Tian, Ling-Ling Zhang

Publication date: 18 July 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9037287

zbMATH Keywords

differential inequality technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Unnamed Item
• Blow-up analysis for a reaction-diffusion equation with weighted nonlocal inner absorptions under nonlinear boundary flux
• Blow-up solutions and global existence for a kind of quasilinear reaction-diffusion equations
• Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions
• Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions
• Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition
• Blow-up phenomena for some nonlinear parabolic problems under mixed boundary conditions
• Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
• Functional analysis, Sobolev spaces and partial differential equations
• Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
• Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions
• Blow-up phenomena for a porous medium equation with time-dependent coefficients and inner absorption term under nonlinear boundary flux
• Blow-up time estimates in porous medium equations with nonlinear boundary conditions
• Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms
• Reaction-diffusion problems under non-local boundary conditions with blow-up solutions
• Explicit Blow-Up Time for Two Porous Medium Problems with Different Reaction Terms
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
• Bounds of the blowup time in parabolic equations with weighted source under nonhomogeneous Neumann boundary condition

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