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论文类型：期刊论文

发表时间：2013-11-15

发表刊物：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录刊物：SCIE、EI、Scopus

卷号：36

期号：16

页面范围：2128-2144

ISSN号：0170-4214

关键字：nonlinear elliptic equations; relative rearrangement; current carrying Stellarator; plasma physics; free boundary problem

摘要：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 (c) 2013 John Wiley & Sons, Ltd.