Exponential Decay Properties of a Mathematical Model for a Certain Fluid-Structure Interaction

DOI10.1007/978-3-319-11406-4_3zbMath1383.35027arXiv1403.6281OpenAlexW291743444MaRDI QIDQ4606665

George Avalos, Francesca Bucci

Publication date: 9 March 2018

Published in: Springer INdAM Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.6281

zbMATH Keywords

point controlthree-dimensional Stokes flowboundary control scenariostwo-dimensional mechanical plate equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (10)

Improved boundary regularity for a Stokes-Lamé system ⋮ On interaction of circular cylindrical shells with a Poiseuille type flow ⋮ Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary ⋮ Semigroup wellposedness and asymptotic stability of a compressible Oseen–structure interaction via a pointwise resolvent criterion ⋮ Exponential stability of a nondissipative, compressible flow-structure PDE model ⋮ A Bayesian mark interaction model for analysis of tumor pathology images ⋮ Uniform exponential stability of a fluid-plate interaction model due to thermal effects ⋮ A linearized viscous, compressible flow-plate interaction with non-dissipative coupling ⋮ Bounded Semigroup Wellposedness for a Linearized Compressible Flow Structure PDE Interaction with Material Derivative ⋮ Rational rates of uniform decay for strong solutions to a fluid-structure PDE system

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