The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework

DOI10.3934/eect.2017008zbMath1359.35162OpenAlexW2560261823MaRDI QIDQ501500

Jing Zhang

Publication date: 9 January 2017

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2017008

zbMATH Keywords

wave equationanalyticityfluid-structure interactionStokes equationKelvin-Voigt dampinguniform stabilization

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10) PDEs of mixed type (35M10) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay ⋮ Global uniform stabilization to nontrivial equilibrium of a nonlinear fluid viscoelastic-structure interaction ⋮ Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay ⋮ Uniform exponential stability of a fluid-plate interaction model due to thermal effects ⋮ Analysis of a nonlinear fluid-structure interaction model with mechanical dissipation and delay

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