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 Department of Applied Mathematics and the Institute for Nonlinear Science of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 20 grants and is currently carrying out three grants from the National Natural Science Foundation of China and from the Shanghai Education Commission. Prof. Qin is presently on the editorial boards of four international journals and has published over 80 mathematical articles, among them more than 50 SCI articles, as well as four Birkhäuser monographs since 2008.

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.