A viscous boundary condition with memory in linear elasticity

DOI10.1016/j.ijengsci.2006.07.013zbMath1213.35380OpenAlexW2087440750MaRDI QIDQ538905

Carlo Alberto Bosello, Roberta Nibbi, Barbara Lazzari

Publication date: 26 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2006.07.013

zbMATH Keywords

integro-differential equationswave equationexponential asymptotic stabilityboundary conditions of memory type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary ⋮ Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation ⋮ On the influence of a dissipative boundary on the energy decay for a porous elastic solid ⋮ Kirchhoff plates with viscous boundary dissipation ⋮ On the asymptotic stability for Kirchhoff plates with viscoelastic dissipation ⋮ On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary ⋮ Global existence for the three-dimensional thermoelastic equations of Type II ⋮ On the exponential decay of the Euler-Bernoulli beam with boundary energy dissipation ⋮ Asymptotic stability in linear viscoelasticity with supplies

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