This is the first of four volumes on the Navier-Stokes equations, specifically on Linearized Steady Problems. The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries. Throughout the work, main problems which, so far, remain open are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way. The work is mathematically self contained, requiring no specific background. The 200-plus exercises along with the chapter summaries and questions make this an excellent textbook for any theoretical Fluid Mechanics course; it is suitable as well for self teaching. It is set up to remain useful as a reference or dictionary.
- ISBN10 038794172X
- ISBN13 9780387941721
- Publish Date 1 June 1998 (first published 28 April 1994)
- Publish Status Active
- Out of Print 2 June 2021
- Publish Country US
- Imprint Springer-Verlag New York Inc.
- Edition 1994. Corr. 2nd Printing ed.
- Format Hardcover
- Pages 484
- Language English