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Mechanics and Mathematics of Fluids of the Differential Type

  • D. Cioranescu
  • V. Girault
  • K.R. Rajagopal

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 35)

Table of contents

  1. Front Matter
    Pages i-viii
  2. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 1-4
  3. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 5-91
  4. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 93-114
  5. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 115-178
  6. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 179-310
  7. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 311-338
  8. D. Cioranescu, V. Girault, K. R. Rajagopal
    Pages 339-373
  9. Back Matter
    Pages 375-394

About this book

Introduction

This text is the first of its kind to bring together both the thermomechanics and mathematical analysis of Reiner-Rivlin fluids and fluids of grades 2 and 3 in a single book. Each part of the book can be considered as being self-contained. The first part of the book is devoted to a description of the mechanics, thermodynamics, and stability of flows of fluids of grade 2 and grade 3.  The second part of the book is dedicated to the development of rigorous mathematical results concerning the equations governing the motion of a family of fluids of the differential type.  Finally, the proofs of a number of useful results are collected in an appendix.

Keywords

Fluids of the Differential Type Grade 2 Fluids Grade 3 Fluids Viscoelasticity Second Law of Thermodynamic Variational Inequalities

Authors and affiliations

  • D. Cioranescu
    • 1
  • V. Girault
    • 2
  • K.R. Rajagopal
    • 3
  1. 1.Laboratoire Jacques-Louis LionsUniversite Pierre et Marie CurieParisFrance
  2. 2.Laboratoire Jacques-Louis LionsUniversite Pierre et Marie CurieParis Cedex 05France
  3. 3.Department of Mechanical EngineeringTexas A & M UniversityCollege Station, TXUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-39330-8
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-39329-2
  • Online ISBN 978-3-319-39330-8
  • Series Print ISSN 1571-8689
  • Series Online ISSN 1876-9896
  • Buy this book on publisher's site
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