Continuous Dependence on Initial-Time Geometry for a Thermoelastic System with Sign-Indefinite Elasticities

• Published in: Journal of mathematical analysis and applications Vol. 189; no. 3; pp. 693 - 714
• Main Authors: Ames, K.A., Payne, L.E.
• Format: Journal Article
• Language: English
• Published: San Diego, CA Elsevier Inc 01.02.1995; Elsevier
• Subjects: Classical and quantum physics: mechanics and fields; Classical mechanics of continuous media: general mathematical aspects; Elasticity, plasticity: general mathematical aspects; Exact sciences and technology; Function theory, analysis; Fundamental areas of phenomenology (including applications); Mathematical analysis; Mathematical methods in physics; Mathematics; Partial differential equations; Physics; Sciences and techniques of general use; Solid mechanics; Static elasticity; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Thermoelasticity; Linear equation; Lagrangian method; Partial differential equation; Inequality; Symmetry

Continuous dependence of the solution to the equations of dynamical linear thermoelasticity on the initial-time geometry is investigated. Using a Lagrange identity method and assuming only the major symmetry on the elasticities, but no sign-definiteness, we derive inequalities establishing that appr...