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Global existence and collisions for symmetric configurations of nearly parallel vortex filaments
Global existence and collisions parallel vortex filaments Analysis of PDEs
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2011/9/1
Abstract: We consider the Schr\"odinger system with Newton-type interactions that was derived by R. Klein, A. Majda and K. Damodaran [18] to modelize the dynamics of N nearly parallel vortex filaments...
Coherent vortex structures and 3D enstrophy cascade
Coherent vortex structures 3D enstrophy cascade
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2011/8/22
Abstract: Existence of 2D enstrophy cascade in a suitable mathematical setting, and under suitable conditions compatible with 2D turbulence phenomenology, is known both in the Fourier and in the physi...
Ginzburg-Landau Vortex and Mean Curvature Flow with External Force Field
system of parabolic equations Ginzburg--Landau vortex mean curvature flow
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2007/12/11
This paper is devoted to the study of the vortex dynamics of the Cauchy problem for a parabolic Ginzburg--Landau system which simulates inhomogeneous type II superconducting materials and three-dimens...