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Díaz Díaz, Jesús Ildefonso ; Lerena Guil, María Belen ; Padial Molina, Juan Francisco ; Rakotoson, Jean Michel Theresien | Elsevier | 2004-04-10We prove 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. The problem arises in the study of the dynamics of a m[...]texto impreso
Díaz Díaz, Jesús Ildefonso ; Lerena Guil, María Belen ; Padial Molina, Juan Francisco | Elsevier Science Ltd | 2002An initial-boundary value problem for the nonlinear elliptic–parabolic equation (_(u))t ?_u = G(u)(t, x)+J(u)(t, x) is considered. Here _(s) = min(s, 0) = ?s?, G and J are nonlocal operators. This problem arises in the study of magnetic confinem[...]texto impreso
We prove the convergence of the solutions for the incompressible homogeneous magnetohydrodynamics (MHD) system to the solutions to ideal MHD one in the inviscid and non-resistive limit, detailing the explicit convergence rates. For this study we[...]
