This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background.

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Bibliographic Information

Book Title: Materials with Memory
Book Subtitle: Initial-Boundary Value Problems for Constitutive Equations with Internal Variables
Authors: Hans-Dieter Alber
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0096273
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Softcover ISBN: 978-3-540-64066-0Published: 19 February 1998
eBook ISBN: 978-3-540-69689-6Published: 13 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 170
Topics: Analysis, Mechanical Engineering, Partial Differential Equations, Theoretical and Applied Mechanics, Classical Mechanics

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Table of contents (9 chapters)

Front Matter

Back Matter

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