Neu, John C. Vortices in complex scalar fields. (English) Zbl 0711.35024 Physica D 43, No. 2-3, 385-406 (1990). 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 Cited in 1 ReviewCited in 66 Documents 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 Keywords:nonlinear heat equation; vortices PDFBibTeX XMLCite \textit{J. C. Neu}, Physica D 43, No. 2--3, 385--406 (1990; Zbl 0711.35024) Full Text: DOI References: [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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.