On the influence of a dissipative boundary on the energy decay for a porous elastic solid

DOI10.1016/J.MECHRESCOM.2009.01.010zbMath1258.74068OpenAlexW1964529609MaRDI QIDQ1939920

Barbara Lazzari, Roberta Nibbi

Publication date: 5 March 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mechrescom.2009.01.010

zbMATH Keywords

exponential stabilitydissipative boundaryporous-elasticity

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

On the time decay of solutions in micropolar viscoelasticity ⋮ Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation ⋮ Analyticity in porous-thermoelasticity with microtemperatures ⋮ On the rate of decay in interacting continua with memory ⋮ On decay and analyticity in viscoelastic solids with voids by means of dissipative coupling ⋮ On the decay of solutions for porous-elastic systems with history ⋮ Decay property of regularity-loss type for solutions in elastic solids with voids ⋮ On the uniqueness and analyticity of solutions in micropolar thermoviscoelasticity

Cites Work

• Unnamed Item
• A viscous boundary condition with memory in linear elasticity
• Decay of solutions of wave equations in a bounded region with boundary dissipation
• Exponential decay in one-dimensional porous-thermo-elasticity
• Semigroups of linear operators and applications to partial differential equations
• Linear elastic materials with voids
• Infinite-dimensional dynamical systems in mechanics and physics
• Slow decay for one-dimensional porous dissipation elasticity
• On the time decay of solutions in one-dimensional theories of porous materials
• On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary
• On the time polynomial decay in elastic solids with voids
• Stabilization in elastic solids with voids
• Energy decay for Porous-thermo-elasticity systems of memory type

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