2008, 22(4): 817-833. doi: 10.3934/dcds.2008.22.817

Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface

1. 

Department of Mathematics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588

2. 

Department of Mathematics, University of Virginia, Charlottesville, VA 22903, United States

Received  June 2007 Revised  October 2007 Published  September 2008

We consider a coupled parabolic-hyperbolic PDE system arising in fluid-structure interaction, with boundary dissipation at the interface, $d = 2,3$. Such a system is semigroup well-posed in the natural energy space [4]. We then establish that it is also uniformly (exponentially) stable, thus complementing the strong stability results of the undamped case [2], [4].
Citation: George Avalos, Roberto Triggiani. Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface. Discrete & Continuous Dynamical Systems - A, 2008, 22 (4) : 817-833. doi: 10.3934/dcds.2008.22.817
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