Geodesic
Oscillatory limits with varying spectrum
Emmanuel Grenier1
1 Unité de Mathématiques Pures et Appliquées, CNRS UMR 5669 and INRIA Rhône Alpes, 46 allée d’Italie, 69364, Ecole Normale Supérieure de Lyon, France
ESAIM. Proceedings, Tome 35 (2012), pp. 46-58.

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High time frequency oscillations occur in many different physical cases: slightly compressible fluids, almost quasineutral plasmas, small electron mass approximation .... In many case, small parameters arise in fluids mechanics or plasma physics, leading to these oscillations as the small parameter goes to zero. The aim of this note is to detail how to obtain formal expansions and to give some indications on how to justify them.
DOI : 10.1051/proc/201235003

Emmanuel Grenier 1

1 Unité de Mathématiques Pures et Appliquées, CNRS UMR 5669 and INRIA Rhône Alpes, 46 allée d’Italie, 69364, Ecole Normale Supérieure de Lyon, France 
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Emmanuel Grenier. Oscillatory limits with varying spectrum. ESAIM. Proceedings, Tome 35 (2012), pp. 46-58. doi : 10.1051/proc/201235003. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235003/

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