The Navier-Stokes Equations

A Classification of Flows and Exact Solutions
Erscheinungsjahr 2006
ISBN: 978-0-521-68162-9
Verlag: Cambridge University Press

Buch, Englisch, Band 334, 206 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 346 g

Reihe: London Mathematical Society Lecture Note Series

The Navier-Stokes equations were firmly established in the 19th Century as the system of nonlinear partial differential equations which describe the motion of most commonly occurring fluids in air and water, and since that time exact solutions have been sought by scientists. Collectively these solutions allow a clear insight into the behavior of fluids, providing a vehicle for novel mathematical methods and a useful check for computations in fluid dynamics, a field in which theoretical research is now dominated by computational methods. This book draws together exact solutions from widely differing sources and presents them in a coherent manner, in part by classifying solutions via their temporal and geometric constraints. It will prove to be a valuable resource to all who have an interest in the subject of fluid mechanics, and in particular to those who are learning or teaching the subject at the senior undergraduate and graduate levels.

Autoren/Hrsg.

Drazin, P. G.

Riley, N.

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik

Inhaltsverzeichnis

Preface; 1. Scope of the book; 2. Steady flows bounded by plane boundaries; 3. Steady axisymmetric and related flows; 4. Unsteady flows bounded by plane boundaries; 5. Unsteady axisymmetric and related flows.

Über Autor(innen)

Drazin, P. G.
Norman Riley is an Emeritus Professor of Applied Mathematics at the University of East Anglia.

Riley, N.
Philip Drazin was a Professor of Mathematics at the University of Bristol.