Bibliothèque de L'IMIST/CNRST

Includes bibliographical references (pages 361-366) and index.

Preface -- Historical introduction and the problem formulation -- Chapter 1. Generalized Boltzmann Equation -- Chapter 2. Theory of generalized hydrodynamic equations -- Chapter 3. Strict theory of turbulence and some applications of the generalized hydrodynamic theory -- Chapter 4. Physics of a weakly ionized gas -- Chapter 5. Kinetic coefficients in the theory of the generalized kinetic equations -- Chapter 6. Some applications of the generalized Boltzmann physical kinetics -- Chapter 7. Numerical simulation of vortex gas flow using the generalized Euler equations -- Chapter 8. Generalized Boltzmann physical kinetics in physics of plasma and liquids -- Appendix 1. Derivation of energy equation for invariant E_alpha = (m_alpha V_alpha^2)/2 + epsilon_alpha -- Appendix 2. Three-diagonal method of Gauss elimination technique for the differential third order equation -- Appendix 3. Some integral calculations in the generalized Navier-Stokes approximation -- Appendix 4. Three-diagonal method of Gauss elimination technique for the differential second order equation -- Appendix 5. Characteristic scales in plasma physics -- Appendix 6. Dispersion relations in the generalized Boltzmann kinetic theory neglecting the integral collision term -- References -- Subject index.

The most important result obtained by Prof. B. Alexeev and reflected in the book is connected with new theory of transport processes in gases, plasma and liquids. It was shown by Prof. B. Alexeev that well-known Boltzmann equation, which is the basement of the classical kinetic theory, is wrong in the definite sense. Namely in the Boltzmann equation should be introduced the additional terms which generally speaking are of the same order of value as classical ones. It leads to dramatic changing in transport theory. The coincidence of experimental and theoretical data became much better. Particularly it leads to the strict theory of turbulence and possibility to calculate the turbulent flows from the first principles of physics. Boltzmann equation (BE) is valid only for particles, which can be considered as material points, generalized Boltzmann equation (GBE) removes this restriction. GBE contains additional terms in comparison with BE, which cannot be omitted GBE leads to strict theory of turbulence GBE gives all micro-scale turbulent fluctuations in tabulated closed analytical form for all flows GBE leads to generalization of electro-dynamic Maxwell equations GBE gives new generalized hydrodynamic equations (GHE) more effective than classic Navier-Stokes equations GBE can be applied for description of flows for intermediate diapason of Knudsen numbers Asymptotical solutions of GBE remove contradictions in the theory of Landau damping in plasma.