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- Title
Time-weighted blow-up rates and pointwise profile for single-point blow-up solutions in reaction-diffusion equations.
- Authors
Liu, Bingchen; Li, Fengjie
- Abstract
This paper deals with asymptotic behavior for blow-up solutions to time-weighted reaction-diffusion equations u t=Δ u+ e α t v p and v t=Δ v+ e β t u q, subject to homogeneous Dirichlet boundary. The time-weighted blow-up rates are defined and obtained by ways of the scaling or auxiliary-function methods for all α
- Subjects
NUMERICAL solutions to reaction-diffusion equations; ASYMPTOTIC theory of algebraic ideals; DIFFERENTIAL equations; DIRICHLET problem; DIRICHLET integrals; STATISTICAL correlation
- Publication
Mathematical Methods in the Applied Sciences, 2017, Vol 40, Issue 14, p5273
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4385