Asymptotic behavior of solutions to fast diffusive non-Newtonian filtration equations coupled by nonlinear boundary sources

DOI10.1155/2013/898546zbMath1275.35043OpenAlexW2003771497WikidataQ58917690 ScholiaQ58917690MaRDI QIDQ370292

Wang Shunti, Zhang Chengbin, Wang Zejia

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/898546

zbMATH Keywords

large-time behaviorcritical Fujita curve

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Critical exponents in context of PDEs (35B33)

Cites Work

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• Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
• Critical exponents for nonlinear diffusion equations with nonlinear boundary sources
• 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
• Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources
• Critical curves for fast diffusive non-Newtonian equations coupled via nonlinear boundary flux
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• Large-time behaviour of solutions to non-Newtonian filtration equations with nonlinear boundary sources
• 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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