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2008

Stabilization of a Boussinesq system of KdV-KdV type

13 years 3 months ago
Stabilization of a Boussinesq system of KdV-KdV type
A family of Boussinesq systems has recently been proposed by J. L. Bona, M. Chen, and J.-C. Saut in [2] to describe the two-way propagation of small amplitude gravity waves on the surface of water in a canal. In this paper, we investigate the boundary stabilization of the Boussinesq system of KdV-KdV type posed on a bounded domain. We design a two-parameters family of feedback laws for which the solutions issuing from small data are globally defined and exponentially decreasing in the energy space.
Ademir F. Pazoto, Lionel Rosier
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where SCL
Authors Ademir F. Pazoto, Lionel Rosier
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