Nonlinear steady problems
著者
書誌事項
Nonlinear steady problems
（Springer tracts in natural philosophy, v. 39 . An introduction to the mathematical theory of the Navier-Stokes equations ; v. 2）
Springer, 1998, c1994
Rev. ed
- : us
- : gw
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注記
"Corrected second printing, 1998" -- t.p. verso
Bibliography: p. [325]-337
Includes index
内容説明・目次
内容説明
This is the second of four volumes on the Navier-Stokes equations, specifically on Nonlinear Stationary 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.
目次
Contents: Steady Navier-Stokes Flow in Bounded Domains.- Steady Navier-Stokes Flow in Three-Dimensional Exterior Domains.- Steady Navier-Stokes Flow in Two-Dimensional Exterior Domains.- Steady Navier-Stokes Flow in Domains with Unbounded Boundaries.- Bibliography.
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