Asymptotic analysis to blow-up points for the porous medium equation with a weighted non-local source

DOI10.1080/00036810802713792zbMath1173.35378OpenAlexW2038653688WikidataQ58188966 ScholiaQ58188966MaRDI QIDQ3634315

Jun Zhou, Chun-Lai Mu

Publication date: 24 June 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802713792

zbMATH Keywords

blow-up setglobal blow-uphomogeneous Dirichlet conditionsingle blow-upweight source

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65)

Cites Work

• Unnamed Item
• Blow-up for a porous medium equation with a localized source
• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• Global existence and blow-up for a nonlinear porous medium equation
• The role of critical exponents in blow-up theorems: The sequel
• Global existence and finite time blow up for a reaction-diffusion system
• Asymptotic analysis to a parabolic equation with a weighted localized source
• A degenerate diffusion equation with a nonlinear source term
• Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II
• The Role of Critical Exponents in Blowup Theorems
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• A critical exponent in a degenerate parabolic equation
• On Asymptotic Self-Similar Behaviour for a Quasilinear Heat Equation: Single Point Blow-Up