Navier-Stokes solutions with point vortex initial data in the half-plane converge to the Lamb-Oseen vortex away from the boundary and to the Prandtl boundary-layer system near the boundary in the zero-viscosity limit.
The long way of a viscous vortex dipole
2 Pith papers cite this work. Polarity classification is still indexing.
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Multiple almost circular concentrated vortices in the 2D Euler equations remain concentrated over long time scales if they stay separated, supported by a new stability estimate for the logarithmic interaction energy.
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The Navier-Stokes equations in $\mathbb R^2_+$ with point vortex initial data: Zero-viscosity limit
Navier-Stokes solutions with point vortex initial data in the half-plane converge to the Lamb-Oseen vortex away from the boundary and to the Prandtl boundary-layer system near the boundary in the zero-viscosity limit.
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Long time confinement of multiple concentrated vortices
Multiple almost circular concentrated vortices in the 2D Euler equations remain concentrated over long time scales if they stay separated, supported by a new stability estimate for the logarithmic interaction energy.