Global and blow‐up solutions for non‐linear degenerate parabolic systems

DOI10.1002/mma.367zbMath1031.35079OpenAlexW1984650570MaRDI QIDQ4707199

Zhiwen Duan, Li Zhou

Publication date: 10 June 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.367

zbMATH Keywords

global solutionblow-up solutionblow-up rateenergy functionblow-up setblow-up timenonlinear degenerate parabolic system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (7)

Note on a nonlinear diffusion system with convection ⋮ Global and blow-up solutions for nonlinear degenerate parabolic systems with crosswise-diffusion ⋮ The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition ⋮ Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition ⋮ The uniqueness of nonnegative \(C^{1}\)-solution for nonlinear differential equations ⋮ A nonlinear diffusion system with convection ⋮ Blow-up solution for the degenerate quasilinear parabolic system with nonlinear boundary condition

Cites Work

• Differential inequalities and maximum principles: theory, new methods and applications

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