Fluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stability (Q6160945)

scientific article; zbMATH DE number 7691552

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English	Fluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stability	scientific article; zbMATH DE number 7691552

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instance of

scholarly article

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title

Fluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stability (English)

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Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

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publication date

2 June 2023

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zbMATH Keywords

analyticity

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natural energy space

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contraction semigroup method

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exponential decay

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-031-21460-8_6

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cites work

Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface

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Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction

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Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system

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Fluid-structure interaction with and without internal dissipation of the structure: a contrast study in stability

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Heat-wave interaction in 2-3 dimensions: optimal rational decay rate

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Smoothness of weak solutions to a nonlinear fluid-structure interaction model

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A mathematical model for linear elastic systems with structural damping

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Proof of extensions of two conjectures on structural damping for elastic systems

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Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications

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Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½

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Motion of an elastic solid inside an incompressible viscous fluid

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The interaction between quasilinear elastodynamics and the Navier-Stokes equations

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Analysis of a linear fluid-structure interaction problem

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On well-posedness for a free boundary fluid-structure model

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On well-posedness and small data global existence for an interface damped free boundary fluid–structure model

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Small data global existence for a fluid-structure model

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Q4851730

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Solutions to a Free Boundary Problem of Fluid-Structure Interaction

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Strong solutions to a nonlinear fluid structure interaction system

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Strong solutions for a fluid structure interaction system

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Strong solutions to a Navier–Stokes–Lamé system on a domain with a non-flat boundary

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Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers

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Q5890172

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Q5628582

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Uniform stabilization to equilibrium of a nonlinear fluid-structure interaction model

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Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay

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On the Spectrum of C 0 -Semigroups

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Q3966611

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Finite rank, relatively bounded perturbations of semi-groups generators. III: A sharp result on the lack of uniform stabilization

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Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications

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Unique continuation of boundary over-determined Stokes and Oseen eigenproblems

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A heat-viscoelastic structure interaction model with Neumann and Dirichlet boundary control at the interface: optimal regularity, control theoretic implications

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A matrix-valued generator \(\mathcal{A}\) with strong boundary coupling: a critical subspace of \(\mathcal D((-\mathcal{A})^{\frac{1}{2}})\) and \(\mathcal D((-\mathcal{A}^*)^{\frac{1}{2}})\) and implications

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Domains of fractional powers of the heat-structure operator with viscoelastic damping: regularity and control-theoretic implications

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Mathematical theory of evolutionary fluid-flow structure interactions

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Heat-viscoelastic plate interaction via bending moment and shear forces operators: analyticity, spectral analysis, exponential decay

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Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay

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Identifiers

zbMATH Open document ID

1521.74053

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DOI

10.1007/978-3-031-21460-8_6

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6160945