Well-posedness of the equations of generalized thermoelasticity

DOI10.1007/BF00041771zbMath0770.73006MaRDI QIDQ1209230

Andrzej Chrzeszczyk

Publication date: 16 May 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessinitial value problemfield equationsquasilinear hyperbolic system

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Elastic materials (74B99)

Cites Work

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• Global solution of the Cauchy problem in nonlinear three-dimensional hyperbolic thermoelasticity with two relaxation times
• Stability of equilibrium for a nonlinear hyperbolic system describing heat propagation by second sound in solids
• Thermoelasticity
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• The coldness, a universal function in thermoelastic bodies
• Blow-up in non-linear three-dimensional thermoelasticity