Preface Historical Introduction and the Problem Formulation 1．Generalized Boltzmann Equation 1．1． Mathematical Introduction——Method of Many Scales 1．2． Hierarchy of Bogolubov Kinetic Equations 1．3． Derivation of the Generalized Boltzmann Equation 1．4． Generalized Boltzmann H-Theorem and the Problem of Irreversibility of Time 1．5． Generalized Boltzmann Equation and Iterative Construction of Higher-Order Equations in the Boltzmann Kinetic Theory 1．6． Generalized Boltzmann Equation and the Theory of Non-Local Kinetic Equations with Time Delay 2．Theory of Generalized Hydrodynamic Equations 2．1． Transport of Molecular Characteristics 2．2． Hydrodynamic Enskog Equations 2．3． Transformations of the Generalized Boltzmann Equation 2．4． Generalized Continuity Equation 2．5． Generalized Momentum Equation for Component 2．6． Generalized Energy Equation for Component 2．7． Summary of the Generalized Enskog Equations and Derivation of the Generalized Hydrodynamic Euler Equations 3．Quantum Non-Local Hydrodynamics 3．1． Generalized Hydrodynamic Equations and Quantum Mechanics 3．2． GHEs， Quantum Hydrodynamics． SE as the Consequence of GHE 3．3． SE and its Derivation from Liouville Equation 3．4． Direct Experimental Confirmations of the Non-Local Effects 4．Application of Unified Non-Local Theory to the Calculation of the Electron and Proton Inner Structures 4．1． Generalized Quantum Hydrodynamic Equations 4．2． The Charge Internal Structure of Electron 4．3． The Derivation of the Angle Relaxation Equation 4．4． The Mathematical Modeling of the Charge Distribution in Electron and Proton 4．5． To the Theory of Proton and Electron as Ball-like Charged Objects 5．Non-Local Quantum Hydrodynamics in the Theory of Plasmoids and the Atom Structure 5．1． The Stationary Single Spherical Plasmoid 5．2． Results of the Mathematical Modeling of the Rest Solitons 5．3． Nonstationary 1D Generalized Hydrodynamic Equations in the Self-Consistent Electrical Field． Quantization in the Generalized Quantum Hydrodynamics 5．4． Moving Quantum Solitons in Self-Consistent Electric Field 5．5． Mathematical Modeling of Moving Solitons 5．6． Some Remarks Concerning CPT （Charge-Parity-Time） Principle 5．7． About Some Mysterious Events of theLast Hundred Years 5．7．1． Tunguska Event （TE） 5．7．2． Gagarin and Seryogin Air Crash 5．7．3． Accident with Malaysia Airlines Flight MH370 6．Quantum Solitons in Solid Matter 7．Generalized Boltzmann Physical Kinetics in Physics of Plasma 8．Physics of a Weakly Ionized Gas 9．Generalized Boltzmann Equation in the Theory of the Rarefied Gases and Liquids 10．Strict Theory of Turbulence and Some Applications of the Generalized Hydrodynamic Theory 11．Astrophysical Applications 12．The Generalized Relativistic Kinetic Hydrodynamic Theory
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