Spatial profile of the dead core for the fast diffusion equation with dependent coefficient

DOI10.1155/2011/751969zbMath1241.35030OpenAlexW2030474170WikidataQ58686831 ScholiaQ58686831MaRDI QIDQ762979

Zhengce Zhang, Biao Wang

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/751969

zbMATH Keywords

one space dimensionsingle-point final dead core profile

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Maximum principles in context of PDEs (35B50) Quasilinear parabolic equations (35K59)

Related Items

Non-self-similar dead-core rate for the fast diffusion equation with dependent coefficient ⋮ Dead-core rates for the fast diffusion equation with a spatially dependent strong absorption

Cites Work

• Single-point gradient blow-up on the boundary for diffusive Hamilton-Jacobi equations in planar domains
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• Regularity of interfaces in diffusion processes under the influence of strong absorption
• Gradient blowup rate for a semilinear parabolic equation
• Quenching rates for heat equations with coupled singular nonlinear boundary flux
• Non-self-similar dead-core rate for the fast diffusion equation with strong absorption