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Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models / by Yuming Qin, Zhiyong Ma.

Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online

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Format:
Book
Author/Creator:
Qin, Yuming, Author.
Ma, Zhiyong., Author.
Language:
English
Subjects (All):
Differential equations.
Mathematical physics.
Thermodynamics.
Differential Equations.
Mathematical Physics.
Local Subjects:
Differential Equations.
Mathematical Physics.
Thermodynamics.
Physical Description:
1 online resource (XII, 200 p.)
Edition:
1st ed. 2016.
Place of Publication:
Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Summary:
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.
Contents:
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.
Notes:
Includes bibliographical references and index.
ISBN:
981-10-1714-X

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