Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Advances in Mechanics and Mathematics (AMMA, volume 35)
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Table of contents (7 chapters)
Keywords
About this book
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.
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Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Mechanics and Mathematics of Fluids of the Differential Type
Authors: D. Cioranescu, V. Girault, K.R. Rajagopal
Series Title: Advances in Mechanics and Mathematics
DOI: https://doi.org/10.1007/978-3-319-39330-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-39329-2Published: 09 August 2016
Softcover ISBN: 978-3-319-81867-2Published: 22 April 2018
eBook ISBN: 978-3-319-39330-8Published: 29 July 2016
Series ISSN: 1571-8689
Series E-ISSN: 1876-9896
Edition Number: 1
Number of Pages: VIII, 394
Number of Illustrations: 16 b/w illustrations
Topics: Mathematical Physics, Partial Differential Equations, Fluid- and Aerodynamics