Mechanics and Mathematics of Fluids of the Differential Type
Published on 9. August 2016
Book
Hardback
VIII, 394 pages
978-3-319-39329-2 (ISBN)
Description
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.
Reviews / Votes
"This is a very well written and organized text. It contains all the essential background as well as state-of-the-art summary of the current knowledge in the field. It can be used as a textbook as well a handy reference book and starting point for advanced research." (Tomás~ Bodnár, Mathematical Reviews, June, 2017)More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Illustrations
16 s/w Abbildungen
VIII, 394 p. 16 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 26 mm
Weight
769 gr
ISBN-13
978-3-319-39329-2 (9783319393292)
DOI
10.1007/978-3-319-39330-8
Schweitzer Classification
Other editions
Additional editions
D. Cioranescu | V. Girault | K.R. Rajagopal
Mechanics and Mathematics of Fluids of the Differential Type
Book
04/2018
Springer
€117.69
Shipment within 10-15 days
D. Cioranescu | V. Girault | K.R. Rajagopal
Mechanics and Mathematics of Fluids of the Differential Type
E-Book
07/2016
Springer
€106.99
Available for download
Persons
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.
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.
Content
Introduction.- Mechanics.- Mathematical Preliminaries.- Classical Non-Newtonian Fluids.- Grade-two Fluids: Some Theoretical Results.- Short Survey on the Theory of Grade-three Fluids.- Appendix.