Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.

This five-volume series covers the entire range of technologies used in the petroleum refining industry. The books are intended for students and for the engineers and technicians who operate in refineriesIn addition to the detailed description of the conventional separation processes used in refining, this volume devotes ample space to discussing future developments. These include enhancements to existing technologies and the introduction of new technologies and separation processes that are as yet seldom implemented in the industry.Contents: 1. Basics of separation operations. 2. Thermodynamics: phase equilibria. 3. Mass transfer and efficiency of separation operations. 4. Distillation, absorption and stripping. 5. Distillation, absorption and stripping in the petroleum industry. 6. Liquid-liquid extraction. 7. Solvent extraction in the oil industry. 8. Crystallization. 9. Crystallization in the oil industry: solvent dewaxing. 10. Adsorption. 11. Adsorption in the oil and gas industry. 12. Membrane separation. References. Index.