Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound

DOI10.1155/S1110757X04311022zbMath1082.35101OpenAlexW2051130092MaRDI QIDQ2570884

Belkacem Said-Houari, Messaoudi A. Salim

Publication date: 31 October 2005

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

Full work available at URL: https://eudml.org/doc/52144

zbMATH Keywords

source termCattaneo's lawexistence of local solutions

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55)

Related Items (13)

Heat traveling waves in rigid thermal conductors with phase lag and stability analysis ⋮ General Decay Result for a Weakly Damped Thermo-Viscoelastic System with Second Sound ⋮ Decay property for solutions in the three-phase-lag heat conduction ⋮ General boundary stabilization of memory type in thermoelasticity of type III ⋮ Blow up of solutions of systems of nonlinear equations of thermoelasticity ⋮ Global existence and decay property of the Timoshenko system in thermoelasticity with second sound ⋮ Boundary stabilization of memory-type thermoelasticity with second sound ⋮ Decay properties of linear thermoelastic plates: Cattaneo versus Fourier law ⋮ A general decay result for a multi-dimensional weakly damped thermoelastic system with second sound ⋮ Boundary stabilization of memory type in thermoelasticity of type III ⋮ Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability ⋮ Decay property of Timoshenko system in thermoelasticity ⋮ A general decay result for a memory-type thermoelasticity with second sound

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