On the blow-up set for non-Newtonian equation with a nonlinear boundary condition

DOI10.1155/2010/680572zbMath1207.35247OpenAlexW2139085306WikidataQ58649897 ScholiaQ58649897MaRDI QIDQ610873

Zhilei Liang

Publication date: 13 December 2010

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

Full work available at URL: https://eudml.org/doc/230001

zbMATH Keywords

diffusionnon-Newtonian fluidblow-up set

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)

Related Items (2)

Blow up for non-Newtonian equations with two nonlinear sources ⋮ Blow-up set for the non-Newtonian polytropic filtration equation subjected to nonlinear Neumann boundary condition

Cites Work

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• Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
• Localization and blow up of thermal waves in nonlinear heat conduction with peaking
• On the blow-up set for \(u_t=(u^m)_{xx}\), \(m>1\), with nonlinear boundary conditions
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• Localization for the evolution \(p\)-Laplacian equation with strongly nonlinear source term
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions

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