Remarks on propagation of singularities in thermoelasticity

DOI10.1006/jmaa.2001.7728zbMath1041.74021OpenAlexW2055557313MaRDI QIDQ1604463

Ya-Guang Wang

Publication date: 4 July 2002

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

Full work available at URL: https://semanticscholar.org/paper/83d7bc7ab0685d6f4bf79ea7a29a5aed4eadd927

zbMATH Keywords

initial-boundary value problemhyperbolic operatormicrolocal singularitiesbi-characteristic stripsnonlinear dynamical thermoelasticity

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Thermal effects in solid mechanics (74F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity
• Propagation and interaction of singularities in nonlinear hyperbolic problems
• Singularities of solutions to semilinear wave equations
• Propagation of singularities in one-dimensional thermoelasticity
• Microlocal analysis in nonlinear thermoelasticity
• Propagation of mild singularities in higher dimensional thermoelasticity
• Global existence of smooth solutions in one-dimensional 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
• Reflection of singularities of solutions to systems of differential equations
• Smoothing Properties, Decay, and Global Existence of Solutions to Nonlinear Coupled Systems of Thermoelastic Type