Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models

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Springer, Jul 29, 2016 - Mathematics - 200 pages

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.

 

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Contents

1 Preliminary
1
2 Exponential Stability for Nonlinear Thermoelastic Equations with Second Sound
27
3 Energy Decay for a TimoshenkoType System with a Past History
50
4 Stability for a Timoshenkotype Thermoelastic Equations of Type III with a Past History
73
5 Global Existence of Solutions for the Thermoelastic Bresse System
97
6 Stability for a Thermoelastic Bresse System
110
7 Global Existence and Exponential Stabilization for the HigherDimensional Linear Thermoelastic System of Type III
121
8 Global Existence for the ThreeDimensional Thermoelastic Equations of Type II
153
9 Energy Decay for Thermoviscoelastic Systems
165
References
187
Index
199
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