caa a22 4500 605515018 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00205-014-0819-9 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0819-9 A Derivation of the Magnetohydrodynamic System from Navier-Stokes-Maxwell Systems [Elektronische Daten] [Diogo Arsénio, Slim Ibrahim, Nader Masmoudi] We provide a full and rigorous derivation of the standard viscous magnetohydrodynamic system (MHD) as the asymptotic limit of Navier-Stokes-Maxwell systems when the speed of light is infinitely large. We work in the physical setting provided by the natural energy bounds and therefore mainly consider Leray solutions of fluid dynamical systems. Our methods are based on a direct analysis of frequencies and we are able to establish the weak stability of a crucial nonlinear term (the Lorentz force), neither assuming any strong compactness of the components nor applying standard compensated compactness methods (which actually fail in this case). Springer-Verlag Berlin Heidelberg, 2014 Arsénio Diogo Univ Paris Diderot, Sorbonne Paris Cité, Sorbonne Universités, UPMC Paris 06, CNRS, UMR 7586, Institut de mathématiques de Jussieu-Paris Rive Gauche, 75013, Paris, France aut Ibrahim Slim Department of Mathematics and Statistics, University of Victoria, Victoria, Canada aut Masmoudi Nader Courant Institute of Mathematical Sciences, New York University, New York, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 767-812 0003-9527 216:3<767 2015 216 205 https://doi.org/10.1007/s00205-014-0819-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-014-0819-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Arsénio Diogo Univ Paris Diderot, Sorbonne Paris Cité, Sorbonne Universités, UPMC Paris 06, CNRS, UMR 7586, Institut de mathématiques de Jussieu-Paris Rive Gauche, 75013, Paris, France aut NATIONALLICENCE 700 1- Ibrahim Slim Department of Mathematics and Statistics, University of Victoria, Victoria, Canada aut NATIONALLICENCE 700 1- Masmoudi Nader Courant Institute of Mathematical Sciences, New York University, New York, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 767-812 0003-9527 216:3<767 2015 216 205