Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay
DOI10.1007/s00245-021-09812-5zbMath1485.76030OpenAlexW3188393107WikidataQ115608595 ScholiaQ115608595MaRDI QIDQ832622
Rasika Mahawattege, Roberto Triggiani
Publication date: 25 March 2022
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-021-09812-5
analyticityoptimal regularityKelvin-Voigt dampinguniform exponential decaydynamic Stokes equationssemigroup contraction method
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A heat-viscoelastic structure interaction model with Neumann and Dirichlet boundary control at the interface: optimal regularity, control theoretic implications
- Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers
- 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
- Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system
- The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework
- Asymptotic stability of finite energy in Navier Stokes-elastic wave interaction
- Interface feedback control stabilization of a nonlinear fluid-structure interaction
- Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications
- Strong solutions to a nonlinear fluid structure interaction system
- Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface
- Strong solutions for a fluid structure interaction system
- Semigroups of linear operators and applications to partial differential equations
- Proof of extensions of two conjectures on structural damping for elastic systems
- Finite rank, relatively bounded perturbations of semi-groups generators. III: A sharp result on the lack of uniform stabilization
- Semigroups of operators: theory and applications. Proceedings of the international conference in Newport Beach, CA, USA, December 14--18, 1998
- Mathematical theory of evolutionary fluid-flow structure interactions
- Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay
- Heat-viscoelastic plate interaction via bending moment and shear forces operators: analyticity, spectral analysis, exponential decay
- Domains of fractional powers of the heat-structure operator with viscoelastic damping: regularity and control-theoretic implications
- Domains of Fractional Powers of Matrix-valued Operators: A General Approach
- On well-posedness for a free boundary fluid-structure model
- A mathematical model for linear elastic systems with structural damping
- On the Spectrum of C 0 -Semigroups
- On well-posedness and small data global existence for an interface damped free boundary fluid–structure model
- Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½
- Heat-wave interaction in 2-3 dimensions: optimal rational decay rate
This page was built for publication: Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay
