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Mechanics and Mathematics of Fluids of the Differential Type
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Mechanics and Mathematics of Fluids of the Differential Type

Mechanics and Mathematics of Fluids of the Differential Type

Doina / Girault Cioranescu

394 pages, parution le 29/07/2016

Résumé

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. 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.

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.

Introduction.- Mechanics.- Mathematical Preliminaries.- Classical Non-Newtonian Fluids.- Grade-two Fluids: Some Theoretical Results.- Short Survey on the Theory of Grade-three Fluids.- Appendix.Doina Vioranescu is Director of Research at CNRS, Laboratoire Jacquies-Louis Lions, Universite Pierre et Marie Curie. Her research topics include numerical analysis and partial differential equations.
Vivette Girault is Volunteer Collaborator at Universite 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.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Doina / Girault Cioranescu
Parution 29/07/2016
Nb. de pages 394
EAN13 9783319393292

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