Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory

DOI10.1016/S0362-546X(01)00810-0zbMath1057.74008MaRDI QIDQ697516

Yu-ming Qin, Jaime Edilberto Muñoz Rivera

Publication date: 17 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceexponential stabilitythermoelasticitynonlinearglobal existence

Mathematics Subject Classification ID

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)

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Cites Work

• 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 a Nonlinear Hyperbolic Volterra Equation
• Existence and exponential decay in nonlinear thermoelasticity
• Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
• Energy decay for hyperbolic thermoelastic systems of memory type
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