Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay (Q1711851)

scientific article; zbMATH DE number 7003538

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English	Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay	scientific article; zbMATH DE number 7003538

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instance of

scholarly article

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title

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

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Evolution Equations and Control Theory

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publication date

18 January 2019

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zbMATH Keywords

heat-plate interaction

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viscoelastic damping

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analyticity

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spectral analysis

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/eect.2018008

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cites work

Q3543479

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The coupled PDE system arising in fluid/structure interaction. I: Explicit semigroup generator and its spectral properties

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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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Coupled parabolic–hyperbolic Stokes–Lamé PDE system: limit behaviour of the resolvent operator on the imaginary axis

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

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Rational decay rates for a PDE heat-structure interaction: a frequency domain approach

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

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Existence of the energy-level weak solutions for a nonlinear fluid-structure interaction model

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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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Q3822502

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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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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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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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Semigroups of linear operators and applications to partial differential equations

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On the Spectrum of C 0 -Semigroups

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Q3966611

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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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Domains of fractional powers of the heat-structure operator with viscoelastic damping: regularity and 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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The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1711851