各種の流体の力学と数学（テキスト） Mechanics and Mathematics of Fluids of the Differential Type〈1st ed. 2016〉

著者名：Cioranescu, D./Girault, V./Rajagopal, K.R.

Springer（2016/07/29発売）

• 言語：ENG
• ISBN：9783319393292
• eISBN：9783319393308

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.

Table of Contents

Introduction.- Mechanics.- Mathematical Preliminaries.- Classical Non-Newtonian Fluids.- Grade-two Fluids: Some Theoretical Results.- Short Survey on the Theory of Grade-three Fluids.- Appendix.