The use of Borel-summation in the establishment of non-existence of certain travelling-wave solutions of the Kuramoto-Sivashinsky equation
β Scribed by R. Grimshaw
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 396 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0165-2125
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper uses variational methods in particular, a generalization of the Mountain Pass Lemma of Rabinowitz together with an invariance argument to demonstrate the existence of (weak Sobolev) periodic, non-travelling solutions to the Boussinesq equation
## Abstract We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyrig
## Abstract The existence of travelling wave solutions for the heat equation β~__t__~ __u__ βΞ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (β__u__ /β__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin