A Derivation of the Magnetohydrodynamic System from Navier-Stokes-Maxwell Systems
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605515018 | ||
| 003 | CHVBK | ||
| 005 | 20210128100707.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-014-0819-9 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0819-9 | ||
| 245 | 0 | 2 | |a A Derivation of the Magnetohydrodynamic System from Navier-Stokes-Maxwell Systems |h [Elektronische Daten] |c [Diogo Arsénio, Slim Ibrahim, Nader Masmoudi] |
| 520 | 3 | |a 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). | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Arsénio |D Diogo |u 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 |4 aut | |
| 700 | 1 | |a Ibrahim |D Slim |u Department of Mathematics and Statistics, University of Victoria, Victoria, Canada |4 aut | |
| 700 | 1 | |a Masmoudi |D Nader |u Courant Institute of Mathematical Sciences, New York University, New York, USA |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 767-812 |x 0003-9527 |q 216:3<767 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0819-9 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0819-9 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Arsénio |D Diogo |u 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 |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ibrahim |D Slim |u Department of Mathematics and Statistics, University of Victoria, Victoria, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Masmoudi |D Nader |u Courant Institute of Mathematical Sciences, New York University, New York, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 767-812 |x 0003-9527 |q 216:3<767 |1 2015 |2 216 |o 205 | ||