NDLI: A note on the Stefanescu conjecture

Content Provider	Springer Nature Link
Author	Valls, Claudia
Copyright Year	2013
Abstract	We prove the existence of a magnetic field created by a planar configuration of piecewise rectilinear wires having no analytic first integral. This is a counterexample to the Stefanescu conjecture (Rev Roum Phys 31:701–721, 1986) in the analytic setting.
Ending Page	1254
Page Count	6
Starting Page	1249
File Format	PDF
ISSN	03733114
e-ISSN	16181891
Journal	Annali di Matematica Pura ed Applicata
Issue Number	5
Volume Number	193
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-02-05
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Location of integral curves, singular points, limit cycles Nonlinear equations and systems, general Analytic integrability Electro- and magnetostatics Mathematics Stefanescu’s conjecture Magnetic field
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A note on the Stefanescu conjecture