## 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
On the Cauchy Problem for a K.P.-Boussinesq-Type System
✍ Scribed by Félix H. Soriano
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 242 KB
- Volume
- 183
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The goal of the paper is to analyse properties of solutions for linear thermoelastic systems of type III in one space variable. Our approach does not use energy methods, it bases on a special diagonalization procedure which is di erent in di erent parts of the phase space. This procedure allows to d
## Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto‐hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension __n__⩾3, we establish the global well‐posedness of the Cauchy problem of an incompressible magneto‐hydrodynamics sys
## Communicated by W. Wendland The Cauchy problem for the motion of a liquid drop under surface tension is solved locally in time on the basis of a general abstract existence theorem for Hamiltonian systems which seems to be of interest also in other areas. 1998 B. G. Teubner Stuttgart-John Wiley