Magnetic flux tubes - nonlinear strings in relativistic magnetohydrodynamics

Standard

Magnetic flux tubes - nonlinear strings in relativistic magnetohydrodynamics. / Semenov, Vladimir S.; Bernikov, Lev V.

In: Astrophysics and Space Science, Vol. 184, No. 1, 01.10.1991, p. 157-166.

Research output: Contribution to journal › Article › peer-review

Author

Semenov, Vladimir S. ; Bernikov, Lev V. / Magnetic flux tubes - nonlinear strings in relativistic magnetohydrodynamics. In: Astrophysics and Space Science. 1991 ; Vol. 184, No. 1. pp. 157-166.

BibTeX

@article{ca66a028cf644d07b35637fb0e9efd94,

title = "Magnetic flux tubes - nonlinear strings in relativistic magnetohydrodynamics",

abstract = "A special Lagrangian coordinate system is introduced, in which the magnetic flux tube is the main object of investigation. The flux tube is shown to behave as a nonlinear relativistic string in relation to tangential force. General and particular variational principles are also discussed. With the introduction of a Lagrangian coordinate system the relativistic magnetohydrodynamic equation of motion reduces to a set of nonlinear string equations. From these results it follows that a highly conductive plasma with a 'frozen-in' magnetic field can be considered as a gas of nonlinear strings interacting through pressure forces. A method is developed which allows the multi-dimensional nonlinear problems of RMHD (relativistic MHD) with boundary layers to be reduced to a set of two-dimensional problems for flux tubes, i.e., nonlinear strings.",

author = "Semenov, {Vladimir S.} and Bernikov, {Lev V.}",

year = "1991",

month = oct,

day = "1",

doi = "10.1007/BF00644873",

language = "English",

volume = "184",

pages = "157--166",

journal = "Astrophysics and Space Science",

issn = "0004-640X",

publisher = "Wolters Kluwer",

number = "1",

}

RIS

TY - JOUR

T1 - Magnetic flux tubes - nonlinear strings in relativistic magnetohydrodynamics

AU - Semenov, Vladimir S.

AU - Bernikov, Lev V.

PY - 1991/10/1

Y1 - 1991/10/1

N2 - A special Lagrangian coordinate system is introduced, in which the magnetic flux tube is the main object of investigation. The flux tube is shown to behave as a nonlinear relativistic string in relation to tangential force. General and particular variational principles are also discussed. With the introduction of a Lagrangian coordinate system the relativistic magnetohydrodynamic equation of motion reduces to a set of nonlinear string equations. From these results it follows that a highly conductive plasma with a 'frozen-in' magnetic field can be considered as a gas of nonlinear strings interacting through pressure forces. A method is developed which allows the multi-dimensional nonlinear problems of RMHD (relativistic MHD) with boundary layers to be reduced to a set of two-dimensional problems for flux tubes, i.e., nonlinear strings.

AB - A special Lagrangian coordinate system is introduced, in which the magnetic flux tube is the main object of investigation. The flux tube is shown to behave as a nonlinear relativistic string in relation to tangential force. General and particular variational principles are also discussed. With the introduction of a Lagrangian coordinate system the relativistic magnetohydrodynamic equation of motion reduces to a set of nonlinear string equations. From these results it follows that a highly conductive plasma with a 'frozen-in' magnetic field can be considered as a gas of nonlinear strings interacting through pressure forces. A method is developed which allows the multi-dimensional nonlinear problems of RMHD (relativistic MHD) with boundary layers to be reduced to a set of two-dimensional problems for flux tubes, i.e., nonlinear strings.

UR - http://www.scopus.com/inward/record.url?scp=0007645751&partnerID=8YFLogxK

U2 - 10.1007/BF00644873

DO - 10.1007/BF00644873

M3 - Article

AN - SCOPUS:0007645751

VL - 184

SP - 157

EP - 166

JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

SN - 0004-640X

IS - 1

ER -

ID: 53095804