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Zbl 1050.35151
Díaz, J. I.; Lerena, M. B.; Padial, J. F.; Rakotoson, J. M.
An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a stellarator. (English)
[J] J. Differ. Equations 198, No. 2, 321-355 (2004). ISSN 0022-0396

Authors' summary: 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 are proven. 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.
[Ivan Abonyi (Budapest)]

MSC 2000:: *35R35 Free boundary problems for PDE
35M10 PDE of mixed type
82D10 Plasmas
76X05 Plasmic flows
35D10 Regularity of generalized solutions of PDE

Keywords: dynamics of a magnetically confined fusion plasma; existence and the regularity of weak solutions; relative rearrangement; monotone rearrangement;

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