Mechanics and mathematics of fluids of the differential type
著者
書誌事項
Mechanics and mathematics of fluids of the differential type
(Advances in mechanics and mathematics / edited by David Y. Gao and Ray W. Ogden, v. 35)
Springer, c2016
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注記
Includes bibliographical references (p. 379-390) and index
内容説明・目次
内容説明
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.
目次
Introduction.- Mechanics.- Mathematical Preliminaries.- Classical Non-Newtonian Fluids.- Grade-two Fluids: Some Theoretical Results.- Short Survey on the Theory of Grade-three Fluids.- Appendix.
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