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Semigroup Forum

, Volume 69, Issue 2, pp 303–316 | Cite as

About the Decay of Vorticity in a Two-dimensional Incompressible Viscous Fluid

Research Article

Abstract

The main purpose of this article is to investigate the behavior of the vorticity in a two dimensional incompressible viscous medium. We give bounds for the maximal amount of vorticity which can be concentrated in a domain of a given size. In order to obtain bounds we compare the vorticity equation to the heat equation in ℝ2

Keywords

Maximal Amount Heat Equation Viscous Fluid Incompressible Viscous Fluid Vorticity Equation 
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.

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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Fakultat fur Mathematik, Ruhr Universitat Bochum, D-44780 BochumGermany

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