Global existence and blow-up of solutions to a nonlocal reaction-diffusion system
From MaRDI portal
Publication:1431416
DOI10.3934/DCDS.2003.9.1519zbMath1043.35069OpenAlexW2067805209MaRDI QIDQ1431416
Shu-Xiang Huang, Chunhong Xie, Fu-Cai Li
Publication date: 8 June 2004
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2003.9.1519
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57)
Related Items (34)
Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity ⋮ The profile and boundary layer for parabolic system with critical simultaneous blow-up exponent ⋮ Uniqueness and existence of positive solutions for some semilinear elliptic systems ⋮ Global existence and blow-up for the degenerate and singular nonlinear parabolic system with a nonlocal source ⋮ Estimates for the blowup time of a combustion model with nonlocal heat sources ⋮ A quasilinear reaction-diffusion system coupled via nonlocal sources ⋮ Blow-up and superexponential growth in superlinear Volterra equations ⋮ Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources ⋮ Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sources ⋮ Global existence and blow-up solutions for doubly degenerate parabolic system with nonlocal source ⋮ Blow-up of solutions to a parabolic system with nonlocal source ⋮ Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system ⋮ Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients ⋮ Blow-up profile of solutions in parabolic equations with nonlocal Dirichlet conditions ⋮ Blow-up estimate in a reaction-diffusion equation with nonlinear nonlocal flux and source ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source ⋮ Blow-up and global existence for a degenerate parabolic system with nonlocal sources ⋮ Global existence and blowup for a reaction-diffusion system with nonlocal boundary condition ⋮ Finite time blow-up for a reaction-diffusion system in bounded domain ⋮ Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system ⋮ Blow-up properties for a degenerate parabolic system with nonlinear localized sources ⋮ Blow-up rate and profile for a degenerate parabolic system coupled via nonlocal sources ⋮ Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions ⋮ Uniform blow-up profiles and boundary layer for a parabolic system with nonlocal sources ⋮ Roles of weight functions in a nonlinear nonlocal parabolic system ⋮ Global existence and blow-up for a degenerate reaction-diffusion system with nonlocal sources ⋮ Neumann problem for reaction-diffusion systems with nonlocal nonlinear sources ⋮ Simultaneous and non-simultaneous blow-up criteria of solutions for a diffusion system with weighted localized sources ⋮ Global existence and blow-up to a degenerate reaction-diffusion system with nonlinear memory ⋮ Global boundedness and blow-up for a parabolic system with positive Dirichlet boundary value ⋮ Global existence and blowup for a degenerate and singular parabolic system with nonlocal source and absorptions ⋮ Blowup properties for several diffusion systems with localised sources ⋮ Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations ⋮ Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent
This page was built for publication: Global existence and blow-up of solutions to a nonlocal reaction-diffusion system