Semigroup Forum

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

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

  • Brice FrankeEmail author
Research Article


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


Maximal Amount Heat Equation Viscous Fluid Incompressible Viscous Fluid Vorticity Equation 
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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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