A degenerate parabolic system with localized sources and nonlocal boundary condition

DOI10.1007/s11464-011-0163-4zbMath1254.35113OpenAlexW2241709587MaRDI QIDQ1758573

Yongsheng Mi, Chun-Lai Mu

Publication date: 15 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0163-4

zbMATH Keywords

blow-up rateporous medium equationweight functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Qualitative properties of a cooperative degenerate Lotka-Volterra model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a class of parabolic equations with nonlocal boundary conditions
• Blow-up for a porous medium equation with a localized source
• Uniform blow up profiles for diffusion equations with nonlocal source and nonlocal boundary
• Global existence and blow-up for a class of degenerate parabolic systems with localized source
• Local vs. non-local interactions in population dynamics
• Boundedness of global solutions for a porous medium system with moving localized sources
• Global existence and blow-up for degenerate and singular parabolic system with localized sources
• Uniform blow-up profiles and boundary layer for a parabolic system with localized sources
• Non-simultaneous blow-up in parabolic equations coupled via localized sources
• Blowup of solutions to a porous medium equation with nonlocal boundary condition
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• Total blow-up versus single point blow-up
• 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
• On nonlinear parabolic equations with nonlocal boundary conditions
• Liouville theorems and blow up behaviour in semilinear reaction diffusion systems
• Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions
• The profile near blowup time for solutions of diffusion systems coupled with localized nonlinear reactions
• Global existence and finite time blow up for a degenerate reaction-diffusion system
• Uniform blow-up profile for a degenerate parabolic system with nonlocal source
• Critical exponents and asymptotic estimates of solutions to parabolic systems with localized nonlinear sources
• The asymptotic behavior of blowup solution of localized nonlinear equation
• Boundedness of global positive solutions of a porous medium equation with a moving localized source
• Global existence and blow-up of solutions to a parabolic system with nonlocal sources and boundaries
• Properties of positive solution for nonlocal reaction-diffusion equation with nonlocal boundary
• 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
• Boundedness of global solutions for a nonlinear degenerate parabolic (porous medium) system with localized sources
• Boundedness of global solutions of a porous medium equation with a localized source
• Uniform blow-up rate for diffusion equations with localized nonlinear source
• Properties of blow up solutions to a parabolic system with nonlinear localized terms
• Uniform blow-up profiles and boundary layer for a parabolic system with localized nonlinear reaction terms
• Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
• A decreasing property of solutions of parabolic equations with applications to thermoelasticity
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Comparison principle for some nonlocal problems
• Blow-up in Nonlocal Reaction-Diffusion Equations
• Blow-up properties for a degenerate parabolic system with nonlinear localized sources

This page was built for publication: A degenerate parabolic system with localized sources and nonlocal boundary condition