Díaz Díaz, Jesús IldefonsoLerena, BelénPadial Molina, Juan FranciscoRakotoson, Jean Michel Theresien2023-06-202023-06-2019990764-444210.1016/S0764-4442(99)90005-8https://hdl.handle.net/20.500.14352/57347We 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.engjournal articlehttp://www.sciencedirect.com/science/article/pii/S0764444299900058http://www.sciencedirect.com/restricted access517.928relative rearrangementmonotone rearrangement3D MHD systemsAnálisis funcional y teoría de operadoresEcuaciones diferenciales1202.07 Ecuaciones en Diferencias