Interaction of Vortices in Weakly Viscous Planar Flows

  title={Interaction of Vortices in Weakly Viscous Planar Flows},
  author={Thierry Gallay},
  journal={Archive for Rational Mechanics and Analysis},
  • T. Gallay
  • Published 18 August 2009
  • Mathematics
  • Archive for Rational Mechanics and Analysis
We consider the inviscid limit for the two-dimensional incompressible Navier–Stokes equation in the particular case where the initial flow is a finite collection of point vortices. We suppose that the initial positions and the circulations of the vortices do not depend on the viscosity parameter ν, and we choose a time T > 0 such that the Helmholtz–Kirchhoff point vortex system is well-posed on the interval [0, T]. Under these assumptions, we prove that the solution of the Navier–Stokes… 
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