Blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition

DOI10.1155/2014/289245zbMath1469.35126OpenAlexW2124219025WikidataQ59037705 ScholiaQ59037705MaRDI QIDQ1723775

Yan Chai, Zhong Bo Fang

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/289245

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59)

Related Items (5)

Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms ⋮ Blow-up analysis for a reaction-diffusion equation with weighted nonlocal inner absorptions under nonlinear boundary flux ⋮ Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux ⋮ Blow-up phenomena for a porous medium equation with time-dependent coefficients and inner absorption term under nonlinear boundary flux ⋮ Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up phenomena for the nonlinear nonlocal porous medium equation under Robin boundary condition
• Blow-up phenomena for some nonlinear parabolic problems under Robin boundary conditions
• On global existence and bounds for blow-up time in nonlinear parabolic problems with time dependent coefficients
• Blow-up phenomena for a parabolic problem with a gradient nonlinearity under nonlinear boundary conditions
• Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
• Blow-up phenomena for some nonlinear parabolic problems under mixed boundary conditions
• Blow-up phenomena for some nonlinear parabolic problems
• Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
• Diffusivity versus absorption through the boundary
• Blowup in diffusion equations: A survey
• The problem of blow-up in nonlinear parabolic equations
• Lower bounds estimate for the blow-up time of a slow diffusion equation with nonlocal source and inner absorption
• Mathematical problems from combustion theory
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Lower bounds for the blow-up time in a non-local reaction diffusion problem under nonlinear boundary conditions
• Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions
• The Role of Critical Exponents in Blowup Theorems
• Explosive Instabilities in Mechanics

This page was built for publication: Blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition