Hermann Sohr

The Navier-Stokes Equations (eBook, PDF)

An Elementary Functional Analytic Approach

• Format: PDF

Produktbeschreibung

This book offers an elementary, self-contained approach to the mathematical theory of viscous, incompressible fluid in a domain of the Euclidian space, described by the equations of Navier-Stokes. It is the first to provide a systematic treatment of the subject. It is designed for students familiar with basic tools in Hilbert and Banach spaces, but fundamental properties of, for example, Sobolev spaces, are collected in the first two chapters.

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Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 367
• Erscheinungstermin: 27. November 2013
• Englisch
• ISBN-13: 9783034882552
• Artikelnr.: 53140736

Autorenporträt

Hermann Sohr is professor of mathematics, especially mathematical fluid mechanics, at the University Paderborn, Germany.

Inhaltsangabe

Preliminary Results.- The Stationary Navier-Stokes Equations.- The Linearized Nonstationary Theory.- The Full Nonlinear Navier-Stokes Equations.

Rezensionen

From the reviews:
"The book is well written and not unnecessarily wordy. There is an up-to-date bibliography and a nice index. ... a mathematician who wishes to know what the important issues concerning eq. (1) are and what has been achieved, would find this an excellent source. Equally, a mathematically-minded student, with a good grounding in analysis and who has decided to work in this area, or the teacher who wants to teach a course on this material would find this a valuable text." (P. N. Shankar,Current Science, Vol. 85 (2), July, 2003)