Monographs and Surveys in Pure Applied Mathematics Evolution Equations Thermoelasticity

Presents a modern treatment of initial value problems and of initial boundary value problems in linear and nonlinear thermoelasticity and in one- and multi-dimensional spatial configurations. This title provides a presentation of the subject that offers introductory parts to graduate students and sophisticated sections valuable to experts. 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.