Item description for The Navier-Stokes Equations by Hermann Sohr...
The primary objective of this monograph is to develop an elementary and self-contained approach to the mathematical theory of a viscous, incompressible fluid in a domain of the Euclidean space, described by the equations of Navier-Stokes. Moreover, the theory is presented for completely general domains, in particular, for arbitrary unbounded, nonsmooth domains. Therefore, restriction was necessary to space dimensions two and three, which are also the most significant from a physical point of view. For mathematical generality, however, the linearized theory is expounded for general dimensions higher than one. Although the functional analytic approach developed here is, in principle, known to specialists, the present book fills a gap in the literature providing a systematic treatment of a subject that has been documented until now only in fragments. The book is mainly directed to students familiar with basic tools in Hilbert and Banach spaces. However, for the readers' convenience, some fundamental properties of, for example, Sobolev spaces, distributions and operators are collected in the first two chapters.
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Est. Packaging Dimensions: Length: 9.1" Width: 6.4" Height: 1" Weight: 1.85 lbs.
Release Date Oct 16, 2001
Publisher Birkhäuser Basel
ISBN 3764365455 ISBN13 9783764365455
Availability 82 units. Availability accurate as of Jan 18, 2017 09:01.
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