#### Filter Results:

#### Publication Year

2008

2016

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

In this paper we consider the one-parameter family of Bona-Smith systems, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a channel. We study three initial-boundary-value problems for these systems, corresponding, respectively, to nonhomogeneous Dirichlet, reflection,… (More)

We consider the 'classical' Boussinesq system of water wave theory, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a horizontal channel. (We also consider its completely symmetric analog). We discretize the initial-boundary-value problem for these systems,… (More)

We consider the periodic initial-value problem for the family of a-b-c-d Boussinesq systems, [8], [9], and their completely symmetric analogs, [10]. We approximate their solutions by the standard Galerkin-finite element method using smooth periodic splines for discretizing in space. We prove optimal-order L 2 error estimates for the resulting… (More)

In this paper we consider the one-parameter family of Bona-Smith systems, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a channel. We study numerically three initial-boundary-value problems for these systems, corresponding, respectively, to homogeneous Dirichlet,… (More)

- ‹
- 1
- ›