TWO-SCALE MACRO–MICRO DECOMPOSITION OF THE VLASOV EQUATION WITH A STRONG MAGNETIC FIELD-Reference-Cited by-同舟云学术

TWO-SCALE MACRO–MICRO DECOMPOSITION OF THE VLASOV EQUATION WITH A STRONG MAGNETIC FIELD

Published:2013-04-22 Issue:08 Volume:23 Page:1527-1559
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CROUSEILLES NICOLAS¹,FRÉNOD EMMANUEL²³,HIRSTOAGA SEVER A.⁴,MOUTON ALEXANDRE⁵

Affiliation:

1. Inria Rennes-Bretagne Atlantique, IPSO Project and IRMAR, UMR 6625, Université de Rennes 1 et CNRS, 263 Avenue du Général Leclerc, 35042 Rennes Cedex, France

2. Université Européenne de Bretagne, LMBA (UMR CNRS 6205), Université de Bretagne-Sud, Campus de Tohannic, F-56000 Vannes, France

3. Inria Nancy Grand-Est, CALVI Project and IRMA, UMR 7501, Université de Strasbourg et CNRS, France

4. Inria Nancy Grand-Est, CALVI Project and IRMA, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, F-67084 Strasbourg Cedex, France

5. CNRS and Laboratoire Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1 et CNRS, UFR de Mathématiques, Cité Scientifique, F-59655 Villeneuve d'Ascq Cedex, France

Abstract

In this paper, we build a two-scale macro–micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum of two oscillating functions with circumscribed oscillations. The first of these functions has a shape which is close to the shape of the two-scale limit of the solution and the second one is a correction built to offset this imposed shape. The aim of such a decomposition is to be the starting point for the construction of two-scale asymptotic-preserving schemes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202513500152

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