Exponential stability for nonlinear thermoelastic equations with second sound

DOI10.1016/j.nonrwa.2009.08.006zbMath1194.35048OpenAlexW4248475649MaRDI QIDQ984534

Zhiyong Ma, Yu-ming Qin, Xin-Guang Yang

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.08.006

zbMATH Keywords

exponential stabilityglobal existencesecond soundthermal memory

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05)

Related Items

Asymptotic behavior of second sound thermoelasticity with internal time-varying delay ⋮ Decay rates for delayed abstract thermoelastic systems with Cattaneo law ⋮ The Cauchy problem for a quasilinear system of equations with coupling in the linearization ⋮ Boundary stabilization of memory-type thermoelasticity with second sound ⋮ Uniform stability of second sound thermoelasticity with distributed delay ⋮ A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound ⋮ A general decay result for a memory-type thermoelasticity with second sound

Cites Work

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• On dynamic behavior of a hyperbolic system derived from a thermoelastic equation with memory type
• Global existence and exponential stability in one-dimensional nonlinear thermoelasticity with thermal memory
• The pointwise estimates to solutions for 1-dimensional linear thermoelastic system with second sound
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Asymptotic behaviour in \(n\)-dimensional thermoelasticity
• Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables
• Global existence and exponential stability of solutions to thermoelastic equations of hyperbolic type
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• LOCAL EXISTENCE AND BLOW UP IN NONLINEAR THERMOELASTICITY WITH SECOND SOUND
• A re-examination of the basic postulates of thermomechanics
• On a Nonlinear Hyperbolic Volterra Equation
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• Energy decay for hyperbolic thermoelastic systems of memory type
• Asymptotic behavior of solutions in linear 2- or 3-D thermoelasticity with second sound
• Thermoelasticity with second sound?exponential stability in linear and non-linear 1-d
• Decay of Solutions of a Nonlinear Hyperbolic System Describing Heat Propagation by Second Sound
• Numerial Methods for Volterra Integral Equations with Singular Kernels