Existence and blow-up of solution of Cauchy problem for the generalized damped multidimensional Boussinesq equation
✍ Scribed by Necat Polat; Abdulkadir Ertaş
- Book ID
- 108178306
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 214 KB
- Volume
- 349
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
## Abstract In this paper, the existence and the uniqueness of the global solution for the Cauchy problem of the multidimensional generalized Boussinesq equation are obtained. Furthermore, the blow‐up of the solution for the Cauchy problem of the generalized Boussinesq equation is proved. Copyright
## Communicated by G. F. Roach We consider the Cauchy problem for the damped Boussinesq equation governing long wave propagation in a viscous fluid of small depth. For the cases of one, two, and three space dimensions local in time existence and uniqueness of a solution is proved. We show that for