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  • 1
    Electronic Resource
    Electronic Resource
    Existence theorems for π/n vortex scattering (1996)
    Springer
    Letters in mathematical physics 36 (1996), S. 311-318 
    Details
    ISSN: 1573-0530
    Keywords: 81U20 ; 35A10 ; 81T13 ; scattering processes ; existence theorems ; Abelian Higgs model ; Cauchy problem ; vortices
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The analysis of 90° vortex-vortex scattering is extended to π/n scattering in all head-on collisions ofn vortices in the Abelian Higgs model. A Cauchy problem with initial data that describe the scattering ofn vortices is formulated. It is shown that this Cauchy problem has a unique global finite-energy solution. The symmetry of the solution and the form of the local analytic solution then show that π/n scattering is realized.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00943283
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