A note on the new similarity reductions of the Boussinesq equation
β Scribed by Sen-yue Lou
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 161 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we consider the two-dimensional Newton-Boussinesq equations with the incompressibility condition. We obtain a regularity criterion for the Newton-Boussinesq equations by virtue of the commutator estimate.
We briefly analyze some characteristics of the behavior in very shallow waters i.e. near the shoreline of high-order (dispersive-nonlinear) Boussinesq-type equations. By using the Carrier and Greenspan (1958) solution as test flow conditions we illustrate the behavior of both purely dispersive and d
The existence and the uniqueness of solutions for a linear feedback controlled Boussinesq equation on a periodic domain are studied. The continuous dependence of the solution on initial data is also proved. The proof is based on conservation laws for the Boussinesq equation. \(O 1995\) Academic Pres