Boundary Stabilization of Thin Plates

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· 제목 : Boundary Stabilization of Thin Plates (Hardcover)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9780898712377
· 쪽수 : 184쪽
· 출판일 : 1987-01-01

Preface
Chapter 1: Introduction: Orientation
Background
Connection with Exact Controllability
Chapter 2: Thin Plate Models: Kirchhoff Model
Mindlin Timoshenko Model
von Karman Model
A Viscoelastic Plate Model
A Linear Thermoelastic Plate Model
Chapter 3: Boundary Feedback Stabilization of Mindlin Timoshenko Plates: Orientation: Existence, Uniqueness, and Properties of Solutions
Uniform Asymptotic Stability of Solutions
Chapter 4: Limits of the Mindlin Timoshenko System and Asymptotic Stability of the Limit Systems: Orientation
The Limit of the M T System as KÊ 0+
The Limit of the M T System as K
Study of the Kirchhoff System
Uniform Asymptotic Stability of Solutions
Limit of the Kirchhoff System as 0+
Chapter 5: Uniform Stabilization in Some Nonlinear Plate Problems: Uniform Stabilization of the Kirchhoff System by Nonlinear Feedback
Uniform Asymptotic Energy Estimates for a von Karman Plate
Chapter 6: Boundary Feedback Stabilization of Kirchhoff Plates Subject to Weak Viscoelastic Damping: Formulation of the Boundary Value Problem
Existence, Uniqueness, and Properties of Solutions
Asymptotic Energy Estimates
Chapter 7: Uniform Asymptotic Energy Estimates for Thermoelastic Plates: Orientation
Existence, Uniqueness, Regularity, and Strong Stability
Uniform Asymptotic Energy Estimates
Bibliography
Index.