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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
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
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...
Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates
Confined Bose-Einstein Condensates Vortex Dipoles Dynamics
2011/7/7
We present a systematic theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate. We introduce the dynamical equations of motion...
Relative Equilibria of the $(1+N)$-Vortex Problem
Relative Equilibria $(1+N)$-Vortex Problem
2011/1/18
We examine existence and stability of relative equilibria of the n-vortex problem specialized to the case where N vortices have small and equal circulation and one vortex has large circulation.
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
Radially symmetric and azimuthally modulated vortex solitons supported by localized gain
Radially symmetric azimuthally modulated vortex solitons localized gain
2010/12/28
We discover that a spatially localized gain supports stable vortex solitons in media with cu-bic nonlinearity and two-photon absorption. The interplay between nonlinear losses and gain in amplifying r...
From the Ginzburg-Landau model to vortex lattice problems
the Ginzburg-Landau model vortex lattice problems
2010/11/24
We study minimizers of the two-dimensional Ginzburg-Landau energy with applied magnetic field, between the first and second critical fields. In this regime, minimizing configurations exhibit densely p...
Vortex Rings in Fast Rotating Bose-Einstein Condensates
Bose-Einstein Condensates Vortices Gross-Pitaevskii energy
2010/12/3
When Bose-Einstein condensates are rotated suciently fast, a giant vortex phase appears, that
is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation aroun...
Runaway expansion in confined quasi-2D plasmas and vortex fluids
Runaway expansion quasi-2D plasmas vortex fluids
2010/11/11
The confined, quasi-two-dimensional guiding center plasma and a system of interacting line vortices in an ideal fluid are examples of Hamiltonian systems with infinite interaction distances. The exis...
Stable Vortex-Bright Soliton Structures in Two-Component Bose Einstein Condensates
Soliton Structures topological charge Two-Component Bose Einstein Condensates
2010/4/1
We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in ...
Twin-vortex solitons in nonlocal nonlinear media
Twin-vortex solitons nonlocal nonlinear media
2010/4/1
We consider soliton formation in thermal nonlinear media bounded by rectangular cross-sections and uncover a new class of nonlinear stationary topological state. Specifically, we find that stationary ...
In this work, the vortex methods for Euler equations with initial
boundary value problem is considered, Poisson equations are solved using
boundary element methods which can be seen to require less ...
In this paper, we study the point vortex method for 2-D
Euler equation of incompressible flow on the
half plane, and the explicit Euler's scheme is considered with the reflection
method handling th...
Ginzburg-Landau Vortex and Mean Curvature Flow with External Force Field
system of parabolic equations Ginzburg--Landau vortex mean curvature flow
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...
