Handbook of mathematical analysis in mechanics of viscous fluids / Yoshikazu Giga, Antonín Novotný, editors.
Giga, Yoshikazu, editor.; Novotný, A., editor.
2018
QA901
Available Online

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Title Handbook of mathematical analysis in mechanics of viscous fluids / Yoshikazu Giga, Antonín Novotný, editors.
ISBN 9783319133447 (electronic book)
3319133446 (electronic book)
9783319133454
3319133454
9783319133430
3319133438
DOI https://doi.org/10.1007/978-3-319-13344-7
Published Cham : Springer, 2018.
Language English
Description 1 online resource : illustrations.
Item Number 10.1007/978-3-319-13344-7 doi
Call Number QA901
Dewey Decimal Classification 532.001/51
Summary 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.
Note Includes index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 26, 2018).
Added Author Giga, Yoshikazu, editor.
Novotný, A., editor.
Available in Other Form Handbook of mathematical analysis in mechanics of viscous fluids.
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Part 0 Derivation of Equations for incompressible and compressible fluids
Modeling
Part I Incompressible fluids
Stokes approximation
Steady viscous Newtonian fluids
Unsteady viscous Newtonian fluids
Regularity of nonstationary Navier-Stokes flow
Mathematical theory for turbulence
Incompressible fluids with various effects
Free boundary problems
Part II Compressible Fluids
Equations and various concepts of solutions in the thermodynamics of compressible fluids
Solutions for the one dimensional flows in the non steady case
Global existence of weak solutions in several dimensions and their qualitative properties
Regularity theory in the multidimensional non steady case
Existence theory for the compressible steady flows
Scale analysis and hydrodynamic limits within the equations of compressible fluids
Examples of coupled systems including compressible fluids.

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