Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments.
Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.
Table of Contents
Derivation of the equations. Well-posedness
of the Linearized System and General Asymptotics.
Asymptotic Behavior for Linearized One-Dimensional
Models. Asymptotic Behavior for Linearized Multi-
dimensional Models. Local Existence. Nonlinear One-
dimensional Thermoelasticity. Nonlinear Multi-
dimensional Thermoelasticity. Contact Problems.
Related Results. Appendix.
"Graduate students will appreciate that material previously published only in papers is collected in this book and experts will find some new results here."
-European Mathematical Society Newsletter, No. 40 (June 2001)