Three-dimensional flow with neutral points

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Some special three-dimensional problems of incompressible flow in the presence of magnetic neutral points are considered. For that purpose, the group invariant properties of the incompressible magnetohydrodynamic equations are studied and isomorphic mappings, together with a family of similarity solutions, are constructed. Two cases which are analyzed explicitly, show the variety of three-dimensional topologies which may vary very significantly from the planar case. Particularly, three-dimensional topology without resistivity may be similar to planar topology with finite resistivity, and the number of neutral points is determined by the boundary conditions.

Original languageEnglish
Pages (from-to)849-858
Number of pages10
JournalPhysics of Fluids
Issue number5
StatePublished - 1979
Externally publishedYes


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