Blow-up solution for the degenerate quasilinear parabolic system with nonlinear boundary condition

DOI10.1016/j.camwa.2005.01.027zbMath1090.35092OpenAlexW2013573434MaRDI QIDQ815281

Chunhong Xie, Li Zhou, Zhiwen Duan

Publication date: 16 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.01.027

zbMATH Keywords

global solutionnonlinear boundary conditionblow-up ratequasilinear parabolic systemself-similar blow-up solution

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Linear boundary value problems for ordinary differential equations (34B05) Blow-up in context of PDEs (35B44)

Related Items (4)

Quasilinear parabolic and elliptic systems with mixed quasimonotone functions ⋮ The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition ⋮ Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition ⋮ Dynamics of Lotka-Volterra cooperation systems governed by degenerate quasilinear reaction-diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On elliptic equations related to self-similar solutions for nonlinear heat equations
• Quasilinear parabolic systems under nonlinear boundary conditions
• Blow-up of solutions of nonlinear degenerate parabolic equations
• Uniform blow-up profile for a degenerate parabolic system with nonlocal source
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Nonlinear elliptic boundary-value problems in unbounded domains
• The blow-up rate for a system of heat equations completely coupled in the boundary conditions
• Differential inequalities and maximum principles: theory, new methods and applications
• Global and blow‐up solutions for non‐linear degenerate parabolic systems
• On Asymptotic Self-Similar Behaviour for a Quasilinear Heat Equation: Single Point Blow-Up

This page was built for publication: Blow-up solution for the degenerate quasilinear parabolic system with nonlinear boundary condition