Existence and uniqueness of the pressure profile p(A) of a current-carrying quasineutral equilibrium plasma

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Abstract

It is proved that the nonlinear integral equation (quasineutrality condition) for the electrostatic potential ø of an isothermal quasineutral current-carrying equilibrium plasma with translational invariance has a solution Ł (A) determined uniquely up to an arbitrary additive constant, where A is the magnetic flux function. This implies the existence and uniqueness of the pressure profile p(A). The existence proof is constructive, which implies its potential usefulness for the practical computation of current-carrying plasma equilibria.

Original languageEnglish (US)
Pages (from-to)1258-1263
Number of pages6
JournalJournal of Mathematical Physics
Volume29
Issue number5
DOIs
StatePublished - 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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