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An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a Stellarator

Díaz Díaz, Jesús Ildefonso and Lerena Guil, María Belen and Padial Molina, Juan Francisco and Rakotoson, Jean Michel Theresien (2004) An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a Stellarator. Journal of Differential Equations, 198 (2). pp. 321-355. ISSN 0022-0396

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Abstract

We prove the existence and the regularity of weak solutions of a nonlocal elliptic–parabolic free-boundary problem involving the notions of relative rearrangement and monotone rearrangement. The problem arises in the study of the dynamics of a magnetically confined fusion plasma in a Stellarator device when the dimensional analysis on the characteristic times suggests to neglect the inertial acceleration in presence of a time dependent magnetic field.

Item Type:Article
Uncontrolled Keywords:Elliptic–parabolic problem; Relative rearrangement; Free-boundary problem; Plasma physics
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:12177
Deposited On:07 Feb 2011 08:51
Last Modified:29 Aug 2011 08:13

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