RECONNECTION OF VORTEX WITH THE BOUNDARY AND FINITE-TIME QUENCHING

Authors
MERLE F ZAAG H
Citation
F. Merle et H. Zaag, RECONNECTION OF VORTEX WITH THE BOUNDARY AND FINITE-TIME QUENCHING, Nonlinearity, 10(6), 1997, pp. 1497-1550
Citations number
25
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
10
Issue
6
Year of publication
1997
Pages
1497 - 1550
Database
ISI
SICI code
0951-7715(1997)10:6<1497:ROVWTB>2.0.ZU;2-7
Abstract
We construct a stable solution of the problem of vortex reconnection w ith the boundary in a superconductor under the planar approximation. T hat is a solution of partial derivative h/partial derivative T = Delta h + e(-h) H-0 - 1/h such that h(0, t) --> 0 as t --> T. We give a pre cise description of the vortex near the reconnection point and time. W e generalize the result to other quenching problems.