Propagation of singularities in Cauchy problems for quasilinear thermoelastic systems in three space variables

DOI10.1016/j.jmaa.2003.11.032zbMath1047.35027OpenAlexW2100899957MaRDI QIDQ1433367

Ya-Guang Wang, Lin Yang

Publication date: 15 June 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.032

zbMATH Keywords

Cauchy problemparadifferential operatorshyperbolic-parabolic coupled systemsmicrolocal weak singularities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Thermal effects in solid mechanics (74F05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Singularity in context of PDEs (35A21)

Related Items (6)

Nonexistence results for the Cauchy problem for some fractional nonlinear systems of thermo‐elasticity type ⋮ Propagation of singularities for Cauchy problems of semilinear thermoelastic systems with microtemperatures ⋮ Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems ⋮ Exponential stability for nonlinear thermoelastic equations with second sound ⋮ Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity ⋮ $L^{p}-L^{q}$ decay estimates for the Cauchy problem of linear thermoelastic systems with second sound in one space variable

Cites Work

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• On the Cauchy problem for quasilinear hyperbolic-parabolic coupled systems in higher dimensional spaces
• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Propagation of singularities in one-dimensional thermoelasticity
• Microlocal analysis in nonlinear thermoelasticity
• Propagation of mild singularities in higher dimensional thermoelasticity
• Development of singularities in solutions of the equations of nonlinear thermoelasticity
• Propagation of singularities for hyperbolic pseudo differential operators with non-smooth coefficients
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Propagation of Singularities of Solutions to Hyperbolic-Parabolic Coupled Systems
• Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type

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