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


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.


Vortex Neural Network Statistical Physic Complex System Time Evolution 
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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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