\(L^p-L^q\) decay estimates of solutions to Cauchy problems of thermoviscoelastic systems

DOI10.1007/S11766-009-2095-2zbMath1212.35328OpenAlexW2070594877MaRDI QIDQ603193

Lin Yang, Fenglian Kuang, Li-Hong Huang

Publication date: 5 November 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-2095-2

zbMATH Keywords

Cauchy problemthermoviscoelastic system\(L^p-L^q\) decay estimate

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Thermodynamics of continua (80A17)

Cites Work

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• The pointwise estimates to solutions for 1-dimensional linear thermoelastic system with second sound
• Parabolic type decay rates for 1-d-thermoelastic systems with time-dependent coefficients
• Pointwise estimates and \(L_p\) convergence rates to diffusion waves for \(p\)-system with damping.
• Well-posedness and decay estimates for Cauchy problems of linear thermoelastic systems of type III in 3-D
• Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
• Pointwise convergence to shock waves for viscous conservation laws
• Global existence and formation of singularities in thermoviscoelasticity of integral type^∗
• Cauchy problems for linear thermoelastic systems of type III in one space variable

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