RT Journal Article
T1 Nonlocal elliptic-parabolic equation arising in the transient regime of a magnetically confined plasma in a Stellarator
A1 Díaz Díaz, Jesús Ildefonso
A1 Lerena, Belén
A1 Padial Molina, Juan Francisco
A1 Rakotoson, Jean Michel Theresien
AB We prove the existence and the regularity of solutions of an elliptic-parabolic equation involving the notions of relative rearrangement and monotone rearrangement. These equations were obtained from 3D MHD systems, taking, (in particular) into account the Ohm and Faraday's laws and the averaging arguments of Hender and Carreras for obtaining a 2D evolution model. Due to the presence of a strong nonlinearity, we introduce a new notion of solution derived from a new property of the relative rearrangement. This allows us to improve the results obtained in the stationnary case by cancelling the condition of smallness of the parameter lambda in the pressure.
PB Elsevier
SN 0764-4442
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57347
UL https://hdl.handle.net/20.500.14352/57347
LA eng
DS Docta Complutense
RD 8 abr 2025