Mechanics and Mathematics of Fluids of the Differential Type

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mathematical Physics
Cover of the book Mechanics and Mathematics of Fluids of the Differential Type by D. Cioranescu, V. Girault, K.R. Rajagopal, Springer International Publishing
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Author: D. Cioranescu, V. Girault, K.R. Rajagopal ISBN: 9783319393308
Publisher: Springer International Publishing Publication: July 29, 2016
Imprint: Springer Language: English
Author: D. Cioranescu, V. Girault, K.R. Rajagopal
ISBN: 9783319393308
Publisher: Springer International Publishing
Publication: July 29, 2016
Imprint: Springer
Language: English

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.

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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.

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