Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840066 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 16 Pages |
Abstract
We study well-posedness and long time dynamics of a coupled model consisting of the compressible isothermal linearized Navier–Stokes fluid in some 3D domain and a nonlinear elastic plate placed on a part of the boundary. We first prove the existence and uniqueness of solutions of the corresponding initial–boundary value problem in a finite energy space. Our main result states the existence of a global finite-dimensional attractor even in the absence of a mechanical damping applied to the plate.
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Authors
Igor Chueshov,