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Materials with Memory

Initial-Boundary Value Problems for Constitutive Equations with Internal Variables

  • Authors
  • Hans-DieterĀ Alber

Part of the Lecture Notes in Mathematics book series (LNM, volume 1682)

Table of contents

  1. Front Matter
    Pages I-X
  2. Hans-Dieter Alber
    Pages 1-5
  3. Hans-Dieter Alber
    Pages 57-73
  4. Hans-Dieter Alber
    Pages 75-97
  5. Hans-Dieter Alber
    Pages 117-136
  6. Hans-Dieter Alber
    Pages 137-142
  7. Back Matter
    Pages 143-166

About this book

Introduction

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.

Keywords

Boundary value problem continuum mechanics of metals initial-boundary value problems monotone operators partial differential equations thermodynamics viscoelasticity

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0096273
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64066-0
  • Online ISBN 978-3-540-69689-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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