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

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...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 189; no. 3; pp. 693 - 714
Main Authors Ames, K.A., Payne, L.E.
Format Journal Article
LanguageEnglish
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
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Summary: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 appropriately constrained solutions depend Hölder continuously on perturbations of the initial geometry.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1995.1046