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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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[1] Carlson, N.; Miller, K., Gradient weighted moving finite element in two dimensions, (Dwoyer, D.; Nussaini, M.; Voight, R., Finite Elements: Theory and Application (1986), Springer: Springer Berlin), 151-163
[2] Gross, E., Dynamics of interacting bosons, (Meeron, E., Physics of Many Particle Systems (1966), Gordon and Breach: Gordon and Breach New York), 268
[3] Creswick, J.; Morrison, N., On the dynamics of quantum vortices, Phys. Lett. A, 76, 267 (1980)
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