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

Journal of Mathematical Analysis and Applications

Volumn 189, Issue 3, 1995, Pages 693-714

  Ames, K A ^a   Payne, L E ^b  

^a UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001032164     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1006/jmaa.1995.1046     Document Type: Article

References (12)

1. K. A. Ames and L. E. Payne, Stabilizing solutions of the equations of dynamical linear therrnoelasticity backward in time, Stability Appl. Anal. Cont. Media 1 (1991), 243-260.
2. K. A. Ames and B. Straughan, Continuous dependence results for initially prestressed thermoelastic bodies. Int. J. Engrg. Sci. 30 (1992), 7-13.
3. L. Brun, Sur l’unicité thermoélasticité dynamique et diverses expressions analogues à la formule de Clapeyron, C.R. Acad. Sci. Paris 261 (1965), 2584-2587.
4. L. Brun, Méthodes énergétiques dans les systèmes évolutifs linéaires. Première Partie. Separation des énergies; Deuxième Partie. Théorèmes d’unicité, J. Mech. 8 (1969), 125-166;
5. L. Brun, Méthodes énergétiques dans les systèmes évolutifs linéaires. Première Partie. Separation des énergies; Deuxième Partie. Théorèmes d’unicité, J. Mech. 8 (1969), 167-192.
6. A. E. Green, Thermoelastic stresses in initially stressed bodies, Proc. Roy. Soc. London A 266(1962), 1-19.
7. D. Iesan, “Prestressed Bodies,” Pitman Res. Notes Math., Vol. 195, Longman, Harlow, 1989.
8. R. J Knops and L. E. Payne, On uniqueness and continuous data dependence in dynamical problems of linear therrnoelasticity, Int. J. Struct. Solids 6 (1970), 1173-1184.
9. R. J. Knops and L. E. Payne, Improved estimates for continuous data dependence in linear elastodynamics, Math. Proc. Cambridge Philos. Soc. 103 (1988), 535-559.
10. H. A. Levine, On a theorem of Knops and Payne in dynamical linear therrnoelasticity, Arch. Rat. Mech. Anal. 38 (1970), 290-307.
11. L. E Payne, “Improperly Posed Problems in Partial Differential Equations,” Regional Conference Series in Applied Math., Vol. 22, SIAM, Philadelphia, 1975.
12. L. E Payne, On geometric and modelling perturbations in partial differential equations, in “Proceedings, LMS Symposium on Non-Classical Continuum Mechanics,” Cambridge, Univ. Press, Cambridge, UK, 1987.