Local approximation for contour dynamics in effectively twodimensional ideal electronmagnetohydrodynamic flows
Abstract
The evolution of piecewise constant distributions of a conserved quantity related to the frozenin canonical vorticity in effectively twodimensional incompressible ideal EMHD flows is analytically investigated by the Hamiltonian method. The study includes the case of axisymmetric flows with zero azimuthal velocity component and also the case of flows with the helical symmetry of vortex lines. For sufficiently large size of such a patch of the conserved quantity, a local approximation in the dynamics of the patch boundary is suggested, based on the possibility to represent the total energy as the sum of area and boundary terms. Only the boundary energy produces deformation of the shape with time. Stationary moving configurations are described.
 Publication:

arXiv eprints
 Pub Date:
 April 2002
 DOI:
 10.48550/arXiv.physics/0204087
 arXiv:
 arXiv:physics/0204087
 Bibcode:
 2002physics...4087R
 Keywords:

 Physics  Plasma Physics
 EPrint:
 REVTEX4, 7 pages, 6 EPSfigures. Extended version