## Abstract In this paper we consider a new rod equation derived recently by Dai [Acta Mech. **127** No. 1β4, 193β207 (1998)] for a compressible hyperelastic material. We establish local wellβposedness for regular initial data and explore various sufficient conditions of the initial data which guar
Differential criteria on the permissibility of a blowing-up
β Scribed by Peter Seibt
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 436 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
In this paper, we study the following semilinear integro-di!erential equation of the parabolic type that arise in the theory of nuclear reactor kinetics: under homogeneous Dirichlet boundary condition, where p, q\*1. We "rst establish the local solvability of a large class of semilinear non-local e
This paper studies the problem ¨s d¨q ¨q y 1 y cos x ¨p , for 0x -1 and t ) 0, Ž . for x s 0, 1 and t ) 0, x ¨x, 0 s ¨x , for 0x -1, ## Ž . Ž . 0 where 1qp, d ) 0. It is shown that for large initial data if p -2 q y 1 or p s 2q y 1 but d is small, then the positive solution blows up in finite t