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Vortices in complex scalar fields. (English) Zbl 0711.35024
The author studies the evolution, under a nonlinear Schrödinger or heat equation, of complex scalar fields which present vortices (that is, isolated zeros with non zero integer winding numbers). The following questions are examined: far field and core expansions, stability.
Reviewer: P.Godin

MSC:
35B65 Smoothness and regularity of solutions to PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35B35 Stability in context of PDEs
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References:
[1] Carlson, N.; Miller, K., Gradient weighted moving finite element in two dimensions, (), 151-163
[2] Gross, E., Dynamics of interacting bosons, (), 268
[3] Creswick, J.; Morrison, N., On the dynamics of quantum vortices, Phys. lett. A, 76, 267, (1980)
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