Mechanics and Mathematics of Fluids of the Differential Type

Front Cover
Springer, Jul 29, 2016 - Science - 394 pages

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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

1 Introduction
1
2 Mechanics
5
3 Mathematical Preliminaries
93
4 Classical NonNewtonian Fluids
115
Some Theoretical Results
179
6 Short Survey on the Theory of GradeThree Fluids
311
7 Appendix
339
List of Notations
375
References
379
Index
391
Copyright

Other editions - View all

Common terms and phrases

About the author (2016)

Doina Vioranescu is Director of Research at CNRS, Laboratoire Jacquies-Louis Lions, UniversitÚ Pierre et Marie Curie. Her research topics include numerical analysis and partial differential equations.
Vivette Girault is Volunteer Collaborator at UniversitÚ 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