Error estimates for Galerkin approximations of the “classical” Boussinesq system
Error estimates for Galerkin approximations of the “classical” Boussinesq system
We consider the "classical" Boussinesq system in one space dimension and its symmetric analog. These systems model two-way propagation of nonlinear, dispersive long waves of small amplitude on the surface of an ideal fluid in a uniform horizontal channel. We discretize an initial-boundary-value problem for these systems in space using …