Physical Foundations of Fluidodynamics: Macroscopic and kinetic approaches (Ekonomika 2007)

Cover......Page 1
Title......Page 2
Annotation......Page 3
CONTENTS......Page 4
Introduction......Page 6
§ 1.1. Euler\'s Equations (ЕЕ)......Page 8
§ 1.2. Navier-Stokes Equations (NSE)......Page 19
§ 1.3. Kinetic Equations and Gas Dynamics......Page 29
Review of Chapter I.1 Contents......Page 63
§ 2.1. Wave Equation and Free Surface Gravity Waves......Page 65
§ 2.2. Waves in Dispersive Media......Page 69
§ 2.3. Waves at a Density Interface between Liquids of Different Densities......Page 71
§ 3.1. Equation of State (EOS)......Page 74
§ 3.2. Thermodynamical Properties of Fluids and Gases......Page 79
§ 4.1. One-Dimensional Fluidodynamics and Rankine-Hugoniot Conditions......Page 87
§ 4.2. Weak Shocks and the Boltzmann Equation......Page 101
Review of Chapter 1.4 Contents......Page 110
§ 1.1. An Introduction to Thermal Convection......Page 111
§ 1.2. Linear Analysis and Normal Modes......Page 114
§ 1.3. Classical Types of Hydrodynamical Instabilities......Page 124
Review of Chapter II.1 Contents......Page 136
§ 2.1. Introduction in Turbulence......Page 138
§ 2.2. The Homogeneous Turbulence and Its Spectrum......Page 143
§ 2.3. Direct Numerical Simulation of Turbulence......Page 158
Review of Chapter II.2 Contents......Page 168
§ 1. Slow Combustion......Page 170
§ 2. Combustion Instabilities......Page 174
Review of Part III Contents......Page 176
§ 1. Chaplygin\'s Gas......Page 177
§ 2. Richtmyer-Meshkov Instability......Page 182
§ 3. Instabilities and Turbulence in Astrophysics......Page 188
§ 4. Vortex Dynamics. Symplecto-kinetic Approach......Page 203
References......Page 206
Date-line......Page 215