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Evolution equations in thermoelasticity

Author: Song Jiang; Reinhard Racke
Publisher: Boca Raton : Chapman & Hall/CRC, ©2000.
Series: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 112.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Jiang, Song, 1963-
Evolution equations in thermoelasticity.
Boca Raton : Chapman & Hall/CRC, ©2000
(DLC) 00031559
(OCoLC)44083985
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Song Jiang; Reinhard Racke
ISBN: 9781482285789 1482285789
OCLC Number: 1048939915
Description: 1 online resource
Contents: Chapter Introduction --
chapter 1 Derivation of the equations --
chapter 2 Well-posedness of the linearized system and general asymptotics --
chapter 3 Asymptotic behavior for linearized one-dimensional models --
chapter 4 A symptotic behavior for linearized multi-dimensional models --
chapter 5 Local existence --
chapter 6 Nonlinear one-dimensional thermoelasticity --
chapter 7 Nonlinear multi-dimensional thermoelasticity --
chapter 8 Contact problems --
chapter 9 Related results.
Series Title: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics, 112.
Responsibility: Song Jiang, Reinhard Racke.

Abstract:

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.

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