The Physical Foundations of Hydrodynamic Processes

This book studies the fundamental concept of hydrodynamics as part of theoretical physics and demonstrates the connection of macroscopic approach with the description of properties of fluid motion and microscopic kinetic theory. It also presents recent investigations in instabilities and turbulence theory.
Contents: IntroductionBases of Hydrodynamics:Equations of MotionGravity Waves and SolitonsThermodynamics of FluidsShock WavesStability and Instabilities in Fluidodynamics:Instabilities in Fluidodynamics and Its ConsequencesClassical Turbulence in Fluid DynamicsCoherent Hydrodynamic Structures:Vortex Dynamics on the PlanePoisson Systems in HydrodynamicsIntroduction of Metric Structure in Hydrodynamic SystemsAppendices:Chaplygin's GasRichtmyer–Meshkov InstabilityInstabilities and Turbulence in AstrophysicsReferencesIndex
Readership: Researches and post-graduate students for extended study of hydrodynamics.Coherent Hydrodynamic Structures;Poisson Systems;Weak Shocks;Boltzmann Kinetic Equation;Joyce–Montgomery Equation;Vortex System;Onsager Vortex;Hydrodynamic Instability;Homogeneous Turbulence;Vortex System with Negative Temperature;Young Measure;Monge Potentials;Hamilton Geometry;Geodesic Deviation;Richtmyer–Meshkov Instability;Turbulence in Astrophysics;Large-Scale Hydrodynamic Structures0Key Features:The difference from existing books is in a single approach to the analysis of hydrodynamics, starting with the microscopic kinetic approach, up to large-scale structuresThe uniqueness of the content is due to the introduction of the theory of bifurcation of nonlinear equations from the points of the essential spectrum, explaining the nature of turbulence through interaction in vortex structures, resulting in indefinite vortex temperature in the system, as well as using the mathematical apparatus of geodesic deviation (which was previously used in the general theory of relativity) to describe evolution of coherent hydrodynamic structuresThe authors first investigated the connection of Poisson systems in hydrodynamics with the numerical results of O M Belotserkovsky, who was the largest specialist in the world in the theory of turbulent flows