Large Time Behavior for Higher Order Boussinesq System

نویسندگان

  • R. A. CAPISTRANO-FILHO
  • A. F. PAZOTO
چکیده

A family of Boussinesq systems has been proposed in [8] to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investigate the boundary stabilization of the generalized higher order Boussinesq systems of KdV–type posed on a interval. We design a two-parameter family of feedback laws for which the solutions are globally defined in time and exponentially decreasing in the energy space.

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تاریخ انتشار 2017