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On the level surfaces of the magnetic field in a resistive plasma

Published online by Cambridge University Press:  11 September 2001

MANUEL NÚÑEZ
Affiliation:
Departamento de Análisis Matemático, Universidad de Valladolid, 47005 Valladolid, Spain

Abstract

An analysis of the induction equation shows that the level surfaces of the magnetic field in a resistive plasma satisfy a certain bound upon the time means of their areas. When this bound is applied to some configurations typical of chaotic plasmas, it is shown that the number of bidimensional sheets where the field reaches a extremum is bounded, whereas the number of extremal ropes or points need not be. This also applies to current sheets.

Type
Research Article
Copyright
2001 Cambridge University Press

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