Coupled parabolic–hyperbolic Stokes–Lamé PDE system: limit behaviour of the resolvent operator on the imaginary axis
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Publication:3649452
DOI10.1080/00036810903278513zbMath1194.35052OpenAlexW2048567488WikidataQ58254270 ScholiaQ58254270MaRDI QIDQ3649452
George Avalos, Roberto Triggiani
Publication date: 4 December 2009
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810903278513
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)
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Cites Work
- Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system
- Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction
- Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface
- Semigroups of linear operators and applications to partial differential equations
- Uniform exponential energy decay of wave equations in a bounded region with \(L_ 2(0,\infty;L_ 2(\Gamma))\)-feedback control in the Dirichlet boundary conditions
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Wave equation on a bounded domain with boundary dissipation: An operator approach
- Implications of sharp trace regularity results on boundary stabilization of the system of linear elasticity
- Analysis of a linear fluid-structure interaction problem
- Stability enhancement of a 2-D linear Navier-Stokes channel flow by a 2-D, wall-normal boundary controller
- The strong stability and instability of a fluid-structure semigroup
- The stabilizability problem: A Hilbert space operator decomposition approach
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