Stabilization through viscoelastic boundary damping: a semigroup approach

DOI10.1007/s00233-009-9197-2zbMath1193.35149OpenAlexW2150119731MaRDI QIDQ982202

Jaroslav Milota, Wolfgang Desch, Eva Fašangová, Georg Propst

Publication date: 6 July 2010

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-009-9197-2

zbMATH Keywords

stabilitywave equationviscous dampingboundary conditions of memory type\(\mathcal{C}_{0}\)-semigroup

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Applications of operator theory in the physical sciences (47N50) Groups and semigroups of linear operators (47D03) Linear constitutive equations for materials with memory (74D05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

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• Exponential and polynomial stability of a wave equation for boundary memory damping with singular kernels
• On wave equations with boundary dissipation of memory type
• Spectrum of a viscoelastic boundary damping model
• One-Parameter Semigroups for Linear Evolution Equations
• What is the Laplace Transform?

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