Blow-up set for the non-Newtonian polytropic filtration equation subjected to nonlinear Neumann boundary condition

DOI10.1080/00036811.2012.678332zbMath1278.35032OpenAlexW1983742295WikidataQ58163250 ScholiaQ58163250MaRDI QIDQ2841210

Yongsheng Mi, Chun-Lai Mu, Xiong Rui Wang

Publication date: 24 July 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2012.678332

zbMATH Keywords

comparison methodsself-similar representation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44)

Cites Work

• On the blow-up set for non-Newtonian equation with a nonlinear boundary condition
• 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
• Quasilinear elliptic-parabolic differential equations
• On the blow-up set for \(u_t=(u^m)_{xx}\), \(m>1\), with nonlinear boundary conditions
• The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux
• Critical curves of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions
• 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

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