On the exponential stability of linear thermoelasticity

DOI10.1007/s001610050131zbMath0963.74026OpenAlexW1988344073MaRDI QIDQ1579716

Vittorino Pata, Elena Vuk

Publication date: 14 September 2000

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001610050131

zbMATH Keywords

existenceuniquenessexponential decay of solutionslinear thermoelasticitycontinuous dependence of solutionsone-dimensional evolution problemhereditary heat conductionstrongly continuous semigroup of bounded operatorsthermal memory kernel

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-partial differential equations (45K05) Thermal effects in solid mechanics (74F05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items

Upper semicontinuous attractors for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory ⋮ STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY ⋮ On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction ⋮ Exponential stability of a Timoshenko type thermoelastic system with Gurtin-Pipkin thermal law and frictional damping ⋮ Exact decay rates for weakly coupled systems with indirect damping by fractional memory effects ⋮ On uniform decay of a nonsimple thermoelastic bar with memory ⋮ Unnamed Item ⋮ Exponential stability of a porous thermoelastic system with Gurtin-Pipkin thermal law ⋮ Asymptotic Decay for Some Differential Systems with Fading Memory