Critical curve of the non-Newtonian polytropic filtration equations coupled via nonlinear boundary flux

DOI10.1216/RMJ-2009-39-2-689zbMath1172.35006OpenAlexW1990857108MaRDI QIDQ1024963

Zhaoyin Xiang, Yulan Wang, Chun-Lai Mu

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2009-39-2-689

zbMATH Keywords

global existencenonlinear boundary fluxself-similar supersolutions and subsolutionsnon-Newtonian polytropic filtration equations

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items

Critical curves for degenerate parabolic equations coupled via nonlinear boundary flux ⋮ Глобальные решения и решения с обострением для нелинейной диффузионной системы с источником и нелинейными граничными условиями ⋮ Global existence and nonexistence for degenerate parabolic equations with nonlinear boundary flux ⋮ Critical curves of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions ⋮ Global existence and nonexistence for diffusive polytropic filtration equations with nonlinear boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Degenerate parabolic equations
• Hölder estimates for quasilinear doubly degenerate parabolic equations
• Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
• Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
• 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
• The role of critical exponents in blow-up theorems: The sequel
• Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• The Role of Critical Exponents in Blowup Theorems
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition