## Communicated by Marek Fila We consider the blow-up of solutions for a semilinear reaction-diffusion equation with exponential reaction term. It is known that certain solutions that can be continued beyond the blow-up time possess a non-constant self-similar blowup profile. Our aim is to find th
Blow-up solutions for localized reaction-diffusion equations with variable exponents
✍ Scribed by Bingchen Liu; Fengjie Li
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 180 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1492
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
0 with the Dirichlet, Neumann, or periodic boundary condition. Here ) 0 is a Ž . parameter, and f is an odd function of u satisfying f Ј 0 ) 0 and some convexity Ž . w x condition. Let z U be the number of times of sign changes for U g C 0, 1 . It is Ä 4 shown that there exists an increasing sequenc
## Abstract We consider the Dirichlet problem for a non‐local reaction–diffusion equation with integral source term and local damping involving power non‐linearities. It is known from previous work that for subcritical damping, the blow‐up is global and the blow‐up profile is uniform on all compact
## Abstract We discuss and determine the critical extinction and blow‐up exponents for the homogeneous Dirichlet boundary value problem of the fast diffusive __p__‐Laplacian with sources. Copyright © 2007 John Wiley & Sons, Ltd.
## Abstract In this paper we consider a new rod equation derived recently by Dai [Acta Mech. **127** No. 1–4, 193–207 (1998)] for a compressible hyperelastic material. We establish local well‐posedness for regular initial data and explore various sufficient conditions of the initial data which guar