Exponential decay to thermoelastic systems over noncylindrical domains

DOI10.1155/2011/403264zbMath1402.74028OpenAlexW2023111217WikidataQ58686774 ScholiaQ58686774MaRDI QIDQ762944

Michelle Klaiber, Luci Harue Fatori

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/403264

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Classical linear elasticity (74B05) Thermal effects in solid mechanics (74F05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (1)

Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary

Cites Work

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• A thermoelastic system of memory type in noncylindrical domains
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
• On the energy decay of a linear thermoelastic bar
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• On the essential spectrum of a semigroup of thermoelasticity
• Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
• Vibrations of elastic membranes with moving boundaries

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