# American Institute of Mathematical Sciences

June  2008, 1(2): 243-252. doi: 10.3934/dcdss.2008.1.243

## Existence and uniqueness of a structural acoustic model involving a nonlinear shell

 1 Department of Mathematics, University of Virginia, Kerchoff Hall, Charlottesville, VA 22903, United States 2 Department of Mathematics, Wayne State University, 656 S Kirby, Detroit, MI 48202, United States

Received  September 2006 Revised  April 2007 Published  March 2008

We consider a structural acoustic model where the active wall is a nonlinear shell. We use a shell modeled with the intrinsic method of Michel Delfour and Jean-Paul Zolésio. We show the existence and uniqueness of solutions in the finite energy space as a consequence of a special trace estimate.
Citation: Inger Daniels, Catherine Lebiedzik. Existence and uniqueness of a structural acoustic model involving a nonlinear shell. Discrete & Continuous Dynamical Systems - S, 2008, 1 (2) : 243-252. doi: 10.3934/dcdss.2008.1.243
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