Blow-up in Nonlinear Heat Equations from the Dynamical Systems Point of View-Reference-Cited by-同舟云学术

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Blow-up in Nonlinear Heat Equations from the Dynamical Systems Point of View

Published:2002 Issue: Volume: Page:723-758
ISSN:1874-575X
Container-title:Handbook of Dynamical Systems
language:
Short-container-title:

Author:

Fila Marek,Matano Hiroshi

Publisher

Elsevier

Reference80 articles.

1. Liouville theorems and blow up behaviour in semilinear reaction diffusion systems;Andreucci;Ann. Inst. H. Poincaré Anal. Non Linéaire,1997

2. The zeroset of a solution of a parabolic equation;Angenent;J. Reine Angew. Math.,1988

3. Complete blow-up after Tmax for the solution of a semilinear heat equation;Baras;J. Funct. Anal.,1987

4. Final time blow up profiles for semilinear parabolic equations via center mani-fold theory;Bebernes;SIAM J. Math. Anal.,1992

5. Mathematical Problems from Combustion Theory;Bebernes,1989

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1. Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature;Journal of Nonlinear Science;2023-03-17

2. Rigorous numerics for nonlinear heat equations in the complex plane of time;Numerische Mathematik;2022-05-12

3. Numerical validation of blow-up solutions with quasi-homogeneous compactifications;Numerische Mathematik;2020-06-06

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