Advertisement

On the topology of three-dimensional steady flows of an ideal fluid

  • Vladimir I. Arnold
Chapter
Part of the Vladimir I. Arnold - Collected Works book series (ARNOLD, volume 2)

Abstract

We shall consider the rotational steady flows of an incompressible inviscid fluid in a bounded region D. It will be assumed that the vectors of velocity and vorticity are not everywhere colinear. It will be shown that the region of flow D is divided by the critical ’Bernoulli surfaces’ into a finite number of cells, in each of which the streamlines are either closed, or else, everywhere they closely encircle toroidal surfaces.

Keywords

Mathematical Application Mathematical Method Finite Number Algebraic Geometry Steady Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Nauka, Moscow 1966

Authors and Affiliations

  • Vladimir I. Arnold
    • 1
  1. 1.HeidelbergGermany

Personalised recommendations