This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.

Summarizes recent and new results on Thermo(visco)elastic Systems The models presented are relevant in many physical and engineering applications Gives bibliographic comments at the end of each chapter Includes supplementary material: sn.pub/extras

Autorentext

Yuming Qin, born in 1963, is a professor in the School of Mathematics and Statistics and the Institute for Nonlinear Sciences of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 30 grants and is currently carrying out four grants from the National Natural Science Foundation of China, Ministry of Science and Technology of China and from the Shanghai Municipal Commission of Science and Technology. Prof. Qin is presently on the editorial boards of 4 international journals and has published over 120 mathematical articles, among which more than 100 articles are indexed in SCI. Prof. Qin has also published 10 monographs since 2008. Xiaolei Dong, born in 1991, is a lecturer in the School of Mathematics and Statistics of Zhoukou Normal University. His research interests are well-posedness of the boundary layer equations. He is currently carrying out one grant from the Natural Science Foundation of Henan Province. Xiuqing Wang, born in 1990, is a lecturer in the School of Faculty of Science of Kunming University of Science and Technology. Her research interests are well-posedness of the boundary layer equations and liquid crystal equations. She is currently carrying out one grant from the Natural Science Foundation of Yunnan Province.

Inhalt
Exponential Stability for Nonlinear Thermoelastic Equations with Second Sound.- Energy Decay and Global Attractors for A Timoshenko-type System with A Past History.- Stability for A Timoshenko-Type System with A Past History.- Global Existence of Solutions for the Thermoelastic Bresse System.- Stability and Global Attractors for Thermoelastic Bresse System.- Global Existence and Exponential Stabilization for the Higher-Dimensional Linear Thermoelastic System of Type III.- Global Existence for the Three-Dimensional Thermoelastic Equations of Type II.- Global Attractors for Thermoelastic Plates with Memory.- Energy Decay and Global Attractors for Thermoviscoelastic Systems.- Global Existence of Solutions for a Nonlinear Thermoviscoelastic Equation with Non-Monotone Pressure.