Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation

DOI10.1007/S00033-012-0201-4zbMath1264.74035OpenAlexW1990648639MaRDI QIDQ1938483

Roberta Nibbi, Barbara Lazzari, Moncef Aouadi

Publication date: 4 February 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-012-0201-4

zbMATH Keywords

exponential stabilityboundary conditions of memory typethermoelasticity with voidswithout energy dissipation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (9)

A theory of thermoelasticity with diffusion under Green-Naghdi models ⋮ Energy decay in thermoelastic diffusion theory with second sound and dissipative boundary ⋮ On the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam system ⋮ Boundary controllability for inhomogeneous multidimensional thermoelastic diffusion problem by Hilbert's uniqueness method ⋮ On uniform decay of a nonsimple thermoelastic bar with memory ⋮ Stabilisation of a thermo-elastic system under nonuniformly bounded disturbances in the boundary input ⋮ Exponential stabilization of thermoelastic system of type II with non-uniform bounded disturbance ⋮ Boundary stabilization of a thermoelastic diffusion system of type II. ⋮ Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping

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