On the well posedness and large-time behavior of higher order Boussinesq system
Analysis of PDEs
2021-07-26 v2 Optimization and Control
Abstract
A family of Boussinesq systems has been proposed to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investigate the well-posedness and boundary stabilization of the generalized higher order Boussinesq systems of Korteweg-de Vries--type posed on a interval. We design a two-parameter family of feedback laws for which the system is locally well-posed and the solutions of the linearized system are exponentially decreasing in time.
Keywords
Cite
@article{arxiv.1712.08452,
title = {On the well posedness and large-time behavior of higher order Boussinesq system},
author = {R. A. Capistrano-Filho and F. A. Gallego and A. F. Pazoto},
journal= {arXiv preprint arXiv:1712.08452},
year = {2021}
}
Comments
26 pg