Propagation of singularities in one-dimensional thermoelasticity

DOI10.1006/jmaa.1998.5972zbMath0910.73013OpenAlexW2009415849MaRDI QIDQ1269601

Reinhard Racke, Ya-Guang Wang

Publication date: 26 October 1998

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

Full work available at URL: https://semanticscholar.org/paper/25801826a7730edac9b1734f541fe716b98ee43c

zbMATH Keywords

Cauchy problemFourier spaceoptimal regularity resultsbehaviour of characteristicsderegularizing effecthyperbolic partlinear homogeneous caseparabolic partsemilinear case

Mathematics Subject Classification ID

Related Items (12)

Large-time asymptotic behavior for the classical thermoelastic system ⋮ Microlocal analysis in nonlinear thermoelasticity ⋮ NONLINEAR WELL-POSEDNESS AND RATES OF DECAY IN THERMOELASTICITY WITH SECOND SOUND ⋮ Propagation of mild singularities in higher dimensional thermoelasticity ⋮ Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables ⋮ Propagation of singularities for Cauchy problems of semilinear thermoelastic systems with microtemperatures ⋮ Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound ⋮ On a coupled nonlinear singular thermoelastic system ⋮ Asymptotic behavior of discontinuous solutions in 3-D thermoelasticity with second sound ⋮ $L^{p}-L^{q}$ decay estimates for the Cauchy problem of linear thermoelastic systems with second sound in one space variable ⋮ Remarks on propagation of singularities in thermoelasticity ⋮ LOCAL EXISTENCE AND BLOW UP IN NONLINEAR THERMOELASTICITY WITH SECOND SOUND

Cites Work

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• Propagation of singularities for semilinear hyperbolic initial-boundary value problems in one space dimension
• Propagation of singularities for semilinear hyperbolic equations in one space variable
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
• Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Propagation of singularities for non-linear wave equations in one dimension
• Global solvability and exponential stability in one-dimensional nonlinear thermoelasticity
• Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type

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