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 lnner 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. Nonstationarv 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(harge-Parity-Time)Principle

5.7. About Some Mysterious Events of the Last 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

6.1. Quantum Oscillators in the Unified Non-Local Theory

6.2. Application of Non-Local Quantum Hydrodynamics to the Description of the Charged Density Waves in the Graphene Crystal Lattice

6.3. Generalized Quantum Hydrodynamic Equations Describing the Soliton Movement in the Crystal Lattice

6.4. Results of the Mathematical Modeling Without the External Electric Field

6.5. Results of the Mathematical Modeling With the External Electric Field

6.6. Spin Effects in the Generalized Quantum Hydrodynamic Equations

6.7. To the Theory of the SC

7．Generalized Boltzmann Physical Kinetics in Physics of Plasma

7.1. Extension of Generalized Boltzmann Physical Kinetics for the Transport Processes Description in Plasma

7.2. Dispersion Equations of Plasma in Generalized Boltzmann Theory

7.3. The Generalized Theory of Landau Damping

7.4. Evaluation of Landau Integral

7.5. Estimation of the Accuracy of Landau Approximation

7.6. Alternative Analytical Solutions of the Vlasov-Landau Dispersion Equation

7.7. The Generalized Theory of Landau Damping in Collisional Media

8．Physics of a Weakly Ionized Gas

8.1. Charged Particles Relaxation in"Maxwellian"Gas and the Hydrodynamic Aspects of the Theory

8.2. Distribution Function(DF)of the Charged Particles in the"Lorentz"Gas

8.3. Charged Particles in Alternating Electric Field

8.4. Conductivity of a Weakly Ionized Gas in the Ctossed Electric and Magnetic Fields

8.5. Investigation of the GBE for Electron Energy Distribution in a Constant Electric Field with due Regard for Inelastic Collisions

9．Generalized Boltzmann Equation in the Theory of the Rarefied Gases and Liquids

9.1. Kinetic Coefficients in the Theory of the Generalized Kinetic Equations.Linearization of the Generalized Boltzmann Equation

9.2. Approximate Modified Chapman-Enskog Method

9.3. Kinetic Coefficient Calculation with Taking into Account the Statistical Fluctuations

9.4. Sound Propagation Studied with the Generalized Equations of Fluid Dynamics

9.5. Shock Wave Structure Examined with the Generalized Equations of Fluid Dynamics

9.6. Boundary Conditions in the Theory of the Generalized Hydrodynamic Equations

9.7. To the Kinetic and Hydrodynamic Theory of Liquids

10．Strict Theory of Turbulence and Some Applications of the Generalized Hydrodynamic Theory

10.1. About Principles of Classical Theory of Turbulent Flows

10.2. Theory of Turbulence and Generalized Euler Equations

10.3. Theory of Turbulence and the Generalized Enskog Equations

10.4. Unsteady Flow of a Compressible Gas in a Cavity

10.5. Application of the GHE：To the Investigation of Gas Flows in Channels with a Step

10.6. Vortex and Turbulent Flow of Viscous Gas in Channel with Flat Plate

11．Astrophysical Applications

11.1. Solution of the Dark Matter Problem in the Frame of the Non-Local Physics

11.2. Plasma-Gravitational Analogy in the Generalized Theory of Landau Damping

11.3. Disk Galaxy Rotation and the Problem of Dark Matter

11.4. Hubble Expansion and the Problem of Dark Energy

11.5. Propagation of Plane Gravitational Waves in Vacuum with Cosmic Microwave Background

11.6. Application of the Non-Local Physics in the Theory of the Matter Movement in Black Hole

11.7. Self-similar Solutions of the Non-Local Equations

11.7.1. Preliminary Remarks

11.7.2. Self-similar Solutions of the Non-Local Equations in the Astrophysical Appl ications

12．The Generalized Relativistic Kinetic Hydrodynamic Theory

12.1. Hydrodynamic Form of the Dirac Quantum Relativistic Equation

12.2. Generalized Relativistic Kinetic Equation

12.3. Generalized Enskog Relativistic Hydrodynamic Equations

12.3.1. Derivation of the Continuity Equation

12.3.2. Derivation of the Motion Equation

12.3.3. Derivation of the Energy Equation

12.4. Generalized System of the Relativistic Hydrodynamics and Transfer to the Generalized Relativistic Non-Local Euler Hydrodynamic Equations

12.5. Generalized Non-Local Relativistic Euler Equations

12.6. The Limit Transfer to the Non-Relativistic Generalized Non-Local Euler Equations

12.6.1. Some Auxiliary Expressions

12.6.2. Non-Relativistic Generalized Eu ler Equations as Asymptotic of the Relativistic Equations

12.7. Expansion of the Flat Harmonic Waves of Small Amplitudes in Ultra-Relativistic Media

Some Remarks to the Conclusion of the Monograph

Appendix 1．Perturbation Method of the Equation Solution Related to T[f]

Appendix 2．Using of Curvilinear Coordinates in the Generalized Hydrodynamic Theory

Appendix 3．Characteristic Scales in Plasma Physics

Appendix 4．Dispersion Relations in the Generalized Boltzmann Kinetic Theory Neglecting the Integral Collision Term

Appendix 5．Three-Diagonal Method of Gauss Elimination Techniques for the Differential Third-and Second-Order Equations

Appendix 6．Some Integral Calculations in the Generalized Navier-Stokes Approximation

Appendix 7．Derivation of Energy Equation for Invariant Eα=mαV2α/2+εα

Appendix 8．To the Non-Local Theory of Cold Nuclear Fusion

Appendix 9．To the Non-Local Theory of Variable Stars

Appendix 10．To the Non-Local Theory of Levitation

References

Index