The Physical Foundations of Hydrodynamic Processes: Macroscopic and Kinetic Approaches

283 Pages·2020·3.06 MB·English

by  Nikolay Nikolaevich Fimin

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s. THE PHYSICAL FOUNDATIONS OF
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World Scientific
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nler Part I. Bases of Hydrodynamics 1
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amiutio 1.2. Navier–Stokes Equations . . . . . . . . . . . . . . . . 17
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Physicng on 2.3. oWfaDveiffseartenatDDeennssiittyieIsnt.e.rfa.c.e.B.et.we.e.n.L.iq.ui.ds. . . . . 80
The niel Ya 2.4. Summary . . . . . . . . . . . . . . . . . . . . . . . . 84
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3.1. Equation of State . . . . . . . . . . . . . . . . . . . . 85
3.2. Thermodynamical Properties of Fluids and Gases . . 91
3.3. Summary . . . . . . . . . . . . . . . . . . . . . . . . 99
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viii The Physical Foundations of Hydrodynamic Processes
Chapter 4. Shock Waves 101
4.1. One-Dimensional Fluidodynamics and
Rankine–Hugoniot Conditions . . . . . . . . . . . . . 101
4.2. Weak Shocks and the Boltzmann Equation . . . . . . 117
4.3. Summary . . . . . . . . . . . . . . . . . . . . . . . . 127
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Chapter 8. Poisson Systems in Hydrodynamics 217
8.1. Poisson Systems and States of Relative
Equilibrium . . . . . . . . . . . . . . . . . . . . . . . 217
8.2. Young Measures in Hydrodynamics . . . . . . . . . . 220
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Contents ix
8.3. Equilibrium States in Statistical Mechanics of the
Euler Equation and Variation of Functionals in
Poisson Systems . . . . . . . . . . . . . . . . . . . . . 223
8.4. Summary . . . . . . . . . . . . . . . . . . . . . . . . 227
s. Chapter 9. Introduction of Metric Structure in
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articl Hydrodynamic Systems 229
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