Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1st Edition by Yoshikazu Giga, Antonín Novotný 3319133438 9783319133430

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1st Edition by Yoshikazu Giga, Antonín Novotný  – Ebook PDF Instant Download/DeliveryISBN: 3319133438, 9783319133430

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ISBN-10 :  3319133438 

ISBN-13 :  9783319133430

Author:   Yoshikazu Giga, Antonín Novotný 

Mathematics has always played a key role for researches in fluid mechanics. The purpose of this handbook is to give an overview of items that are key to handling problems in fluid mechanics. Since the field of fluid mechanics is huge, it is almost impossible to cover many topics. In this handbook, we focus on mathematical analysis on viscous Newtonian fluid. The first part is devoted to mathematical analysis on incompressible fluids while part 2 is devoted to compressible fluids.

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1st Table of contents:

1. Part I Incompressible fluids.
2. Stokes approximation.
3. Steady viscous Newtonian fluids.
4. Unsteady viscous Newtonian fluids.
5. Regularity of nonstationary Navier-Stokes flow.
6. Mathematical theory for turbulence.
7. Incompressible fluids with various effects.
8. Free boundary problems.
9. Part II Compressible Fluids.
10. Equations and various concepts of solutions in the thermodynamics of compressible fluids.
11. Solutions for the one dimensional flows in the non steady case.
12. Global existence of weak solutions in several dimensions and their qualitative properties.
13. Regularity theory in the multidimensional non steady case.
14. Existence theory for the compressible steady flows.
15. Scale analysis and hydrodynamic limits within the equations of compressible fluids.
16. Examples of coupled systems including compressible fluids.

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Tags: Handbook, Mathematical Analysis, Mechanics, Viscous Fluids, Yoshikazu Giga, Antonín Novotný