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On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator
Author(s) -
Zou Weilin,
Li Fengquan,
Lv Boqiang
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2742
Subject(s) - stellarator , plasma , monotone polygon , mathematics , convergence (economics) , galerkin method , boundary (topology) , plasma confinement , current (fluid) , boundary value problem , mathematical analysis , physics , geometry , quantum mechanics , nonlinear system , thermodynamics , economics , economic growth
This paper deals with a nonlocal free boundary problem arising in the study of the dynamics of the confinement of a plasma in a Stellarator device. The free boundary represents the separation between the plasma and vacuum regions, and the nonlocal term involves the notions of relative rearrangement and monotone rearrangement. We establish some new properties on the decreasing rearrangement that can be used to prove the convergence of the approximate problem, and then prove the existence of solutions by Galerkin method. Copyright © 2013 John Wiley & Sons, Ltd.