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Communications in Mathematical Physics

, Volume 164, Issue 3, pp 507–524 | Cite as

Bounds on the growth of the support of a vortex patch

  • Carlo Marchioro
Article

Abstract

We study the time evolution of the support of a vortex patch evolving in ℝ2 according to the Euler Equation for an incompressible fluid and we bound its growth. Furthermore we discuss the same problem in the framework of a simplified model. Finally we consider a similar problem for the Navier-Stokes flow.

Keywords

Vortex Neural Network Statistical Physic Complex System Time Evolution 
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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References

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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Carlo Marchioro
    • 1
  1. 1.Dipartimento di MatematicaUniversità “La Sapienza”RomaItaly

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