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Advances in Mechanics and Mathematics

Mechanics and Mathematics of Fluids of the Differential Type

Authors: Cioranescu, D., Girault, V., Rajagopal, K.R.

  • Introduces the reader to the mechanics of non-Newtonian fluids and to the mathematical analysis of several fluids of the differential type
  • Self-contained, and can be used as an introductory course for PhD students in mathematics or mechanics
  • Focuses on constructive techniques of non-linear analysis
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eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-39330-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-39329-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Doina Vioranescu is Director of Research at CNRS, Laboratoire Jacquies-Louis Lions, Université Pierre et Marie Curie.  Her research topics include numerical analysis and partial differential equations.
Vivette Girault is Volunteer Collaborator at Université Pierre et Marie Curie.  Her research topics include numerical analysis and partial differential equations.
Kumbakonam Rajagopal is Distinguished Professor at Texas A&M University.  His research interests include continuum mechanics and its applications non non-linear materials.

Video

Table of contents (7 chapters)

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-39330-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-39329-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mechanics and Mathematics of Fluids of the Differential Type
Authors
Series Title
Advances in Mechanics and Mathematics
Series Volume
35
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-39330-8
DOI
10.1007/978-3-319-39330-8
Hardcover ISBN
978-3-319-39329-2
Series ISSN
1571-8689
Edition Number
1
Number of Pages
VIII, 394
Number of Illustrations and Tables
16 b/w illustrations
Topics