Blow-up rate and profile for a degenerate parabolic system coupled via nonlocal sources

DOI10.1016/j.camwa.2006.10.018zbMath1132.35403OpenAlexW2087914036MaRDI QIDQ2469889

Lidong Wang, Sining Zheng

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.10.018

zbMATH Keywords

nonlinear diffusionhomogeneous Dirichlet conditioncharacteristic algebraic systemblow-up critical exponent

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Degenerate parabolic equations (35K65)

Related Items (7)

Blow-up rate and profile for a class of quasilinear parabolic system ⋮ Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources ⋮ Blow-up properties for a degenerate parabolic system with nonlinear localized sources ⋮ Roles of weight functions in a nonlinear nonlocal parabolic system ⋮ Roles of weight functions to a nonlinear porous medium equation with nonlocal source and nonlocal boundary condition ⋮ Global and blow-up solutions for the nonlocal \(p\)-Laplacian evolution equation with weighted nonlinear nonlocal boundary condition ⋮ A degenerate parabolic system with nonlocal boundary condition

Cites Work

• Unnamed Item
• Local vs. non-local interactions in population dynamics
• Global and nonglobal weak solutions to a degenerate parabolic system
• Blow-up of solutions of nonlinear degenerate parabolic equations
• Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Global existence and blow-up of solutions to a nonlocal reaction-diffusion system
• Global existence and blow-up for a nonlinear porous medium equation
• Blow-up analysis for a nonlinear diffusion system
• Uniform blow-up profile for a degenerate parabolic system with nonlocal source
• Existence and blow-up for a degenerate parabolic equation with nonlocal source
• Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics
• The influence of nonlocal nonlinearities on the long time behavior of solutions of Burgers’ equation
• Blow-up in Nonlocal Reaction-Diffusion Equations
• Global existence for degenerate parabolic equations with a non-local forcing

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