Avalos, GeorgeGeredeli, Pelin GuvenWebster, Justin T.2018-09-132018-09-13http://hdl.handle.net/11603/11297We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so the fluid PDE includes an ambient flow profile U . In contrast to model in [Avalos, Geredeli, Webster, 2017], we track the effect of this term at the flow-structure interface, yielding a velocity matching condition involving the material derivative of the structure; this destroys the dissipative nature of the coupling of the dynamics. We adopt here a Lumer-Phillips approach, with a view of associating fluid-structure solutions with a C 0 -semigroup {e At } t≥0 on a chosen finite energy space of data. Given this approach, the challenge becomes establishing the maximal dissipativity of an operator A , yielding the flow-structure dynamics.25 pagesen-USThis item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please contact the author.fluid-structure interactioncompressible viscous fluidplate, well-posednesssemigroupUMBC High Performance Computing Facility (HPCF)Text