An Introduction to the Mathematical Theory of the Navier-Stokes Equations : Volume 2: Nonlinear Steady Problems - Springer Tracts in Natural Philosophy, Volume 39

Publisher

SPRINGER VERLAG GMBH

Publication Date

2007

Language

English

ISBN 10

0387941509

ISBN 13

9780387941509

Binding

Hardcover

Condition

Sehr gut

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B�cher

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Synopsis

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.

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