Blow-up phenomena for a nonlinear reaction-diffusion system with time dependent coefficients

DOI10.1016/j.camwa.2017.07.037zbMath1395.35046OpenAlexW2743056733MaRDI QIDQ1667687

Xueyan Tao, Zhong Bo Fang

Publication date: 30 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.07.037

zbMATH Keywords

Dirichlet boundary conditionssubsolutions and supersolutionsbounds for the blow-up timemodified differential inequality technique

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (14)

Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity ⋮ Asymptotic Behavior of Solutions for the Porous Media Equations with Nonlinear Norm-type Sources ⋮ Lower bounds for the blow-up time of a nonlocal reaction-diffusion system with time-dependent coefficients ⋮ New life-span results for the nonlinear heat equation ⋮ Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients ⋮ Blow-up analysis and global existence of solutions for a fractional reaction-diffusion equation ⋮ Estimates on blow-up time of a parabolic system with nonlinear boundary flux ⋮ Unnamed Item ⋮ Lower Bound of Blow up Time for Three Species Cooperating Model ⋮ Unnamed Item ⋮ Blow-up problem of quasilinear weakly coupled reaction-diffusion systems with Neumann boundary conditions ⋮ Blow-up analyses in reaction-diffusion equations with Fujita exponents ⋮ Lower bound for the blow-up time for the nonlinear reaction-diffusion system in high dimensions ⋮ Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent

Cites Work

• Unnamed Item
• Unnamed Item
• Blow-up analysis for a reaction-diffusion equation with weighted nonlocal inner absorptions under nonlinear boundary flux
• Blow-up analysis for a nonlocal reaction-diffusion equation with Robin boundary conditions
• Bounds for the blowup time of the solution to a parabolic system with nonlocal factors in nonlinearities
• Lower bounds for blow-up in a model of chemotaxis
• Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux
• Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
• Single-point blow-up for a semilinear parabolic system
• Boundedness and blow up for a semilinear reaction-diffusion system
• Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations
• Global existence and global non-existence of solutions to a reaction-diffusion system
• Life span of solutions with large initial data for a class of coupled parabolic systems
• Estimates for the blowup time of a combustion model with nonlocal heat sources
• Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions
• Blow-up phenomena in parabolic problems with time-dependent coefficients under Neumann boundary conditions
• Blow-up phenomena for a semilinear parabolic equation with weighted inner absorption under nonlinear boundary flux
• Lower bounds for blow-up time in parabolic problems under Neumann conditions

This page was built for publication: Blow-up phenomena for a nonlinear reaction-diffusion system with time dependent coefficients