CRITICAL CURVES FOR A COUPLED SYSTEM OF FAST DIFFUSIVE NEWTONIAN FILTRATION EQUATIONS

DOI10.1017/S000497271200038XzbMath1255.35143OpenAlexW1969387640MaRDI QIDQ3143901

Runmei Du, Zejia Wang

Publication date: 6 December 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271200038x

zbMATH Keywords

upper and lower solutionsnonlinear boundary sources

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Critical exponents for nonlinear diffusion equations with nonlinear boundary sources
• Critical exponents for porous medium systems coupled via nonlinear boundary flux
• The blow-up profile for a fast diffusion equation with a nonlinear boundary condition
• The role of critical exponents in blow-up theorems: The sequel
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• A general approach to critical Fujita exponents in nonlinear parabolic problems

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