Breaking of vortex and magnetic field lines in hydrodynamics and MHD

E. A. Kuznetsov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Citations (Scopus)

Abstract

A new description of vortex lines dynamics is suggested as a motion of a compressible charged fluid driving by effective self-consistent electromagnetic field. Transition to the Lagrangian description in a new hydrodynamics is equivalent for the original Euler equations to the mixed Lagrangian-Eulerian description - the vortex line representation (VLR). As a sequence of compressibility of new hydrodynamics breaking of continuously distributed vortex lines is possible that results in formation of the point singularities of the vorticity field. Behavior of the maximum of vorticity near the collapse point closely follows the dependence (t0 - t)-1, where t0 is the time of collapse. This is in correspondence with the numerics performed within the vortex line representation as well as with many other numerical evidences of collapse in the 3D Euler equations. Sequences of such type of collapse are discussed for fully developed hydrodynamic turbulence, in particular for the Kolmorogov spectrum. It is also demonstrated that deformation of magnetic lines governed by transverse component of velocity to magnetic field for incompressible MHD flows can be considered as a compressible mapping that open a possibility of breaking of magnetic lines.

Original languageEnglish
Title of host publicationPlasmas in the Laboratory and in the Universe
Subtitle of host publicationNew Insights and New Challenges
EditorsRoberto Pozzoli, Daniela Farina, Giuseppe Bertin
PublisherAmerican Institute of Physics Inc.
Pages16-25
Number of pages10
ISBN (Electronic)0735401764
DOIs
Publication statusPublished - 6 Apr 2004
Externally publishedYes
EventInternational Symposium on Plasmas in the Laboratory and in the Universe: New Insights and New Challenges - Como, Italy
Duration: 16 Sep 200319 Sep 2003

Publication series

NameAIP Conference Proceedings
Volume703
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Symposium on Plasmas in the Laboratory and in the Universe: New Insights and New Challenges
Country/TerritoryItaly
CityComo
Period16/09/0319/09/03

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