Mechanics and Mathematics of Fluids of the Differential Type [electronic resource] / by D. Cioranescu, V. Girault, K.R. Rajagopal.
Material type: TextSeries: Advances in Mechanics and Mathematics ; 35Publisher: Cham : Springer International Publishing : Imprint: Springer, 2016Description: VIII, 394 p. 16 illus. online resourceContent type:- text
- computer
- online resource
- 9783319393308
- 530.15 23
- QA401-425
- QC19.2-20.85
Introduction -- Mechanics -- Mathematical Preliminaries -- Classical Non-Newtonian Fluids -- Grade-two Fluids: Some Theoretical Results -- Short Survey on the Theory of Grade-three Fluids -- Appendix.
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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