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

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  • 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.
    Mathematics Subject Classification: Primary: 35G20, 35A05; Secondary: 74K25.


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