Blow-up analysis for a nonlinear diffusion equation with nonlinear boundary conditions.

DOI10.1016/S0893-9659(04)90032-8zbMath1056.35087OpenAlexW1994752782MaRDI QIDQ1764495

Zhaoxin Jiang, Xianfa Song, Sining Zheng

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(04)90032-8

zbMATH Keywords

one space dimensionnecessary and sufficient blow-up conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (10)

Critical exponents of a doubly degenerate non-divergent parabolic equation with interior and boundary sources ⋮ Blow-up properties for a degenerate parabolic system coupled via nonlinear boundary flux ⋮ Uniform blow-up rate for compressible reactive gas model ⋮ Unnamed Item ⋮ Blow-up rate estimate for degenerate parabolic equation with nonlinear gradient term ⋮ Blow-up rate for a nonlinear diffusion equation ⋮ Blowup of solution for a class of doubly nonlinear parabolic systems ⋮ Blow up, exponential growth of solution for a reaction-diffusion equation with multiple nonlinearities ⋮ Quenching for Porous Medium Equations ⋮ Global existence and stability of solution for a nonlinear Kirchhoff type reaction-diffusion equation with variable exponents

Cites Work

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