Existence of solutions for the boussinesq system of equations
β Scribed by Maria Elena Schonbek
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 997 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0022-0396
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π 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 blowβup of the solution for the Cauchy problem of the generalized Boussinesq equation is proved. Copyright
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
## 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
## Communicated by B. BrosowskΔ±Γ n this paper, the existence, both locally and globally in time, the uniqueness of solutions and the non-existence of global solutions to the initial boundary value problem of a generalized Modification of the Improved Boussinesq equation u RR