Stability for a nonlinear coupled system of elasticity and thermoelasticity with second sound

DOI10.1142/S0219530514500171zbMath1310.74015MaRDI QIDQ5496341

Yiping Meng, Ya-Guang Wang

Publication date: 30 January 2015

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

exponential stabilitynonlinear coupled equationsthermoelasticity and elasticity

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55) Mixed-type systems of PDEs (35M30)

Related Items (2)

Second sound thermoelastic stability of a string/beam structure ⋮ Remarks on exponential stability for a coupled system of elasticity and thermoelasticity with second sound

Cites Work

• Exponential energy decay in a linear thermoelastic rod
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• NONLINEAR WELL-POSEDNESS AND RATES OF DECAY IN THERMOELASTICITY WITH SECOND SOUND
• Rapid Boundary Stabilization of the Wave Equation
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Asymptotic behaviour and exponential stability for a transmission problem in thermoelasticity
• On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source terms
• Unnamed Item

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