Evolution Equations in Thermoelasticity
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A01=Reinhard Racke
A01=Song Jiang
Author_Reinhard Racke
Author_Song Jiang
Banach Contraction Mapping Theorem
boundary value problems
Category=PBK
Category=PBKJ
Category=PBW
Category=PDE
Category=PHH
Category=PHS
Category=PHU
Cauchy Problem
Classical Boundary Conditions
Contact Boundary Conditions
continuum mechanics
Discrete Gronwall Lemma
Displacement Vector
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Exponential Decay Result
Exponential Stability
Global Existence Theorem
High Energy Estimate
Hyperbolic Parabolic Systems
Local Existence Theorem
Local Smooth Solution
Lower Semicontinuity Properties
mathematical physics
nonlinear dynamics
nonlinear thermoelastic systems analysis
Nonlinear Thermoelasticity
Ordinary Differential Equations
partial differential equations
Poincare's Inequality
Poincare’s Inequality
Radially Symmetric
Smooth Classical Solution
Sobolev's Imbedding Theorem
Sobolev’s Imbedding Theorem
stability analysis
Thermoelastic System
Time Asymptotic Behavior
Unique Global Solution
Vice Versa
Wave Front Set
Product details
- ISBN 9781584882152
- Weight: 750g
- Dimensions: 156 x 234mm
- Publication Date: 21 Jun 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments.
Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.
