Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary

DOI10.3934/dcdsb.2018151zbMath1395.74027arXiv1703.10855OpenAlexW2604999741MaRDI QIDQ1671087

Justin T. Webster, George Avalos, Pelin G. Geredeli

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10855

zbMATH Keywords

semigroupwell-posednessfluid-structure interactioncompressible fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (9)

Minimizing drag in a moving boundary fluid-elasticity interaction ⋮ Semigroup wellposedness and asymptotic stability of a compressible Oseen–structure interaction via a pointwise resolvent criterion ⋮ The existence of a weak solution for a compressible multicomponent fluid structure interaction problem ⋮ On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮ Exponential stability of a nondissipative, compressible flow-structure PDE model ⋮ Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation ⋮ A linearized viscous, compressible flow-plate interaction with non-dissipative coupling ⋮ Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation^* ⋮ Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative

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