Critical exponents for a nonlinear diffusion system

DOI10.1016/j.na.2006.07.007zbMath1120.35012OpenAlexW2006964743MaRDI QIDQ884504

Wei Wang, Sining Zheng

Publication date: 6 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.07.007

zbMATH Keywords

nonlinear Neumann boundary conditionsexistence of solutionsblow-updegenerate parabolic systeminner absorptions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items

Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux ⋮ Non-simultaneous blow-up in a reaction-diffusion system ⋮ Asymptotic analysis of a coupled nonlinear parabolic system ⋮ Quenching behavior of solutions in coupled heat equations with singular multi-nonlinearities ⋮ Blow-up analysis for a fast diffusion system with inner absorption and coupled through boundary ⋮ Note on non-simultaneous blow-up for a reaction-diffusion system ⋮ Multiple blow-up rates in a coupled heat system with mixed-type nonlinearities ⋮ Non-simultaneous blow-up in coupled heat equations with multi-nonlinearities ⋮ Effects of reactive gradient term in a multi-nonlinear parabolic problem ⋮ FUJITA CRITICAL CURVE FOR A COUPLED DIFFUSION SYSTEM WITH INHOMOGENEOUS NEUMANN BOUNDARY CONDITIONS∗

Cites Work

• Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions
• Quasilinear reaction-diffusion systems with nonlinear boundary conditions
• Blow-up analysis for a quasilinear parabolic system with multi-coupled nonlinearities
• Porous medium equation with absorption and a nonlinear boundary condition
• Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux
• Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition
• Perturbation analysis of a semilinear parabolic problem with nonlinear boundary conditions
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Two theorems on blow-up solutions for semilinear parabolic equations of second order
• Sur l'explosion et le comportement asymptotique de la solution d'une équation parabolique semi-linéaire du second ordre
• CRITICAL EXPONENTS FOR A REACTION–DIFFUSION MODEL WITH ABSORPTIONS AND COUPLED BOUNDARY FLUX
• Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up
• Fast-slow diffusion systems with nonlinear boundary conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Critical exponents for a nonlinear diffusion system