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Title: Conservation laws for steady flow and solitons in a multifluid plasma revisited

Abstract

The conservation laws used in constructing the governing equations for planar solitons in multifluid plasmas are revisited. In particular, the concept of generalized vorticity facilitates the derivation of some general ''Bernoulli theorems,'' which reduce, in specific instances, to conservation laws previously deduced by other means. These theorems clarify the underlying physical principles that give rise to the conserved quantities. As an example of the usefulness of the techniques, even for relatively simple flows and progressive waves, the equations governing stationary nonlinear whistler waves propagating parallel to an ambient magnetic field are derived using generalized vorticity concepts.

Authors:
; ;  [1];  [2];  [3];  [4]
  1. School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000 (South Africa)
  2. (South Africa)
  3. (United Kingdom) and Institute of Geophysics and Planetary Physics, University of California Riverside, Riverside, California 92521 (United States)
  4. (United States)
Publication Date:
OSTI Identifier:
20960098
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 1; Other Information: DOI: 10.1063/1.2423250; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CONSERVATION LAWS; EQUATIONS; MAGNETIC FIELDS; NONLINEAR PROBLEMS; PLASMA; SOLITONS; STEADY FLOW; VORTICES; WHISTLERS

Citation Formats

Mace, R. L., McKenzie, J. F., Webb, G. M., School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, King's College, Cambridge, and Institute of Geophysics and Planetary Physics, University of California Riverside, Riverside, California 92521. Conservation laws for steady flow and solitons in a multifluid plasma revisited. United States: N. p., 2007. Web. doi:10.1063/1.2423250.
Mace, R. L., McKenzie, J. F., Webb, G. M., School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, King's College, Cambridge, & Institute of Geophysics and Planetary Physics, University of California Riverside, Riverside, California 92521. Conservation laws for steady flow and solitons in a multifluid plasma revisited. United States. doi:10.1063/1.2423250.
Mace, R. L., McKenzie, J. F., Webb, G. M., School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000, King's College, Cambridge, and Institute of Geophysics and Planetary Physics, University of California Riverside, Riverside, California 92521. Mon . "Conservation laws for steady flow and solitons in a multifluid plasma revisited". United States. doi:10.1063/1.2423250.
@article{osti_20960098,
title = {Conservation laws for steady flow and solitons in a multifluid plasma revisited},
author = {Mace, R. L. and McKenzie, J. F. and Webb, G. M. and School of Physics, University of KwaZulu-Natal, Westville Campus, Private Bag X54001, Durban 4000 and King's College, Cambridge and Institute of Geophysics and Planetary Physics, University of California Riverside, Riverside, California 92521},
abstractNote = {The conservation laws used in constructing the governing equations for planar solitons in multifluid plasmas are revisited. In particular, the concept of generalized vorticity facilitates the derivation of some general ''Bernoulli theorems,'' which reduce, in specific instances, to conservation laws previously deduced by other means. These theorems clarify the underlying physical principles that give rise to the conserved quantities. As an example of the usefulness of the techniques, even for relatively simple flows and progressive waves, the equations governing stationary nonlinear whistler waves propagating parallel to an ambient magnetic field are derived using generalized vorticity concepts.},
doi = {10.1063/1.2423250},
journal = {Physics of Plasmas},
number = 1,
volume = 14,
place = {United States},
year = {Mon Jan 15 00:00:00 EST 2007},
month = {Mon Jan 15 00:00:00 EST 2007}
}
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