EXISTENCE THEOREMS FOR PI N VORTEX SCATTERING

Authors
ARTHUR K BURZLAFF J
Citation
K. Arthur et J. Burzlaff, EXISTENCE THEOREMS FOR PI N VORTEX SCATTERING, letters in mathematical physics, 36(3), 1996, pp. 311-318
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
36
Issue
3
Year of publication
1996
Pages
311 - 318
Database
ISI
SICI code
0377-9017(1996)36:3<311:ETFPNV>2.0.ZU;2-B
Abstract
The analysis of 90 degrees vortex-vortex scattering is extended to pi/ n scattering in all head-on collisions of n vortices in the Abelian Hi ggs model. A Cauchy problem with initial data that describe the scatte ring of n vortices is formulated. It is shown that this Cauchy problem has a unique global finite-energy solution. The symmetry of the solut ion and the form of the local analytic solution then show that pi/n sc attering is realized.