$L^{p}-L^{q}$ decay estimates for the Cauchy problem of linear thermoelastic systems with second sound in one space variable

DOI10.1090/S0033-569X-06-00989-6zbMath1123.35079MaRDI QIDQ3429093

Yaguang Wang, Lin Yang

Publication date: 30 March 2007

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

elastic stressesCauchy problemeigenvaluesdecaythermoelasticityhyperbolic systemcoupled hyperbolic-parabolic systems

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Singularity in context of PDEs (35A21)

Related Items (8)

Frequency-localization Duhamel principle and its application to the optimal decay of dissipative systems in low dimensions ⋮ Asymptotic profiles of solutions for regularity-loss-type generalized thermoelastic plate equations and their applications ⋮ NONLINEAR WELL-POSEDNESS AND RATES OF DECAY IN THERMOELASTICITY WITH SECOND SOUND ⋮ Asymptotic behavior of reflection of discontinuities in thermoelasticity with second sound in one space variable ⋮ Propagation of singularities for Cauchy problems of semilinear thermoelastic systems with microtemperatures ⋮ Global existence and decay of solutions of the Cauchy problem in thermoelasticity with second sound ⋮ Coupled plate equations with indirect damping: smoothing effect, decay properties and approximation ⋮ Global existence and decay estimates of solution to Cauchy problem of nonlinear thermoelasticity of type-2

Cites Work

• Propagation of singularities in one-dimensional thermoelasticity
• Microlocal analysis in nonlinear thermoelasticity
• Parabolic type decay rates for 1-d-thermoelastic systems with time-dependent coefficients
• Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables
• On the existence of smooth solutions in one-dimensional nonlinear thermoelasticity with second sound
• 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
• Propagation of Singularities of Solutions to Hyperbolic-Parabolic Coupled Systems
• Heat waves
• Cauchy problems for linear thermoelastic systems of type III in one space variable
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