Blow-up for a nonlocal parabolic equation

DOI10.1016/j.na.2009.02.020zbMath1177.35035OpenAlexW2081365048MaRDI QIDQ924019

Fei Liang, Yuxiang Li

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.020

zbMATH Keywords

radial solutionsblow-up ratehomogeneous Dirichlet boundary conditionnonuniform blow-upuniform blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57)

Related Items (1)

On a Degenerate Nonlocal Parabolic Problem Describing Infinite Dimensional Replicator Dynamics

Cites Work

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• On the finite-time blow-up of a non-local parabolic equation describing chemotaxis.
• A numerical method for a nonlocal elliptic boundary value problem
• On the structure and stability of the set of solutions of a nonlocal problem modeling Ohmic heating
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Global existence and finite-time blow-up for a class of nonlocal parabolic problems
• On a radial positive solution to a nonlogical elliptic equation
• Blow-up and stability of a nonlocal diffusion-convection problem arising in Ohmic heating of foods
• Bifurcation from infinity in a class of nonlocal elliptic problems.
• Global existence and divergence of critical solutions of a non-local parabolic problem in Ohmic heating process
• On the blow-up of a non-local parabolic problem
• Uniform blow-up rate for diffusion equations with nonlocal nonlinear source
• Non-local elliptic problem in higher dimension
• Radial solutions for a nonlocal boundary value problem
• Local regularity theorems for the stationary thermistor problem with oscillating degeneracy
• The evolution thermistor problem under the Wiedemann-Franz law with metallic conduction
• On a class of nonlocal elliptic problems via Galerkin method
• Stability and multiplicity of solutions for the thermistor problem
• SOME INTERESTING SPECIAL CASES OF A NON-LOCAL PROBLEM MODELLING OHMIC HEATING WITH VARIABLE THERMAL CONDUCTIVITY
• Uniform blow-up profile and boundary behaviour for a non-local reaction–diffusion equation with critical damping
• On finite-time blow-up for a nonlocal parabolic problem arising from shear bands in metals
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• Quasilinear Parabolic Systems with Mixed Boundary Conditions on Nonsmooth Domains
• Blow-up in Nonlocal Reaction-Diffusion Equations
• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• ASYMPTOTIC BEHAVIOUR AND BLOW-UP FOR A NONLINEAR DIFFUSION PROBLEM WITH A NON-LOCAL SOURCE TERM
• Estimates of blow-up time for a non-local problem modelling an Ohmic heating process
• Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway
• Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
• Behaviour of a non-local equation modelling linear friction welding
• On a variational approach to some non-local boundary value problems
• ON THE BLOW-UP OF THE NON-LOCAL THERMISTOR PROBLEM
• A nonlocal problem modelling ohmic heating with variable thermal conductivity

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