Vortex filament with axial core structure variation

Collisions of Vortex Filament Pairs

We consider the problem of collisions of vortex filaments for a model introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88, Z99] to describe the interaction of almost parallel vortex filaments in three-dimensional fluids. Since the results of Crow [C70] examples of collisions are searched as perturbations of antiparallel translating pairs of filaments, with initial perturbations r...

Superconducting Vortex with Antiferromagnetic Core

We show that a superconducting vortex in underdoped high Tc superconductors could have an antiferromagnetic core. This type of vortex configuration arises as a topological solution in the recently constructed SO(5) nonlinear s model and in Landau-Ginzburg theory with competing antiferromagnetic and superconducting order parameters. Experimental detection of this type of vortex by muon spin reso...

Evolution of a Curved Vortex Filament into a Vortex Ring

Numerical Simulation of Vortex Breakdown by the Vortex-Filament Method

The Evolution of a Random Vortex Filament

We study an evolution problem in the space of continuous loops in threedimensional Euclidean space modelled upon the dynamics of vortex lines in 3d incompressible and inviscid fluids. We establish existence of a local solution starting from Hölder regular loops with index greater than 1/3. When the Hölder regularity of the initial condition X is smaller or equal 1/2 we require X to be a rough p...