| Publication type: |
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Preprint, Working Paper, ... |
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| Subject: |
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Mathematics/Analysis of PDEs
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| Title: |
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A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media |
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| Author(s): |
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Francis Filbet ( ) 1, Thomas Rey ( ,  ) 1 |
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| Laboratory: |
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| 1: |
Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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Bât. Jean Braconnier n° 101 43 Bd du 11 novembre 1918 69622 VILLEURBANNE CEDEX |
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France |
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| Research team: |
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MMCS |
| Abstract: |
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We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual problems related to the change of scales in velocity variables. Several applications are presented for Boltzmann like equations. This method is particularly efficient for numerical simulations of the granular gases equation with dissipative energy: it allows to study accurately the long time behavior of this equation and is very well suited for the study of clustering phenomena. |
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| Fulltext language: |
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English |
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| Production date: |
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2012-04-19 |
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| Keyword(s): |
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Boltzmann equation – spectral methods – boundary values problem – large time behavior – granular gases |
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| Classification: |
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76P05; 82C40; 65N08; 65N35 |
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| Comment: |
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25 pages |
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| European projet: |
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| Cordis number |
239983 |
| Acronyme |
NUSIKIMO |
| Title |
Numerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology |
| Funded by |
ERC |
| Start date |
2010-01-01 |
| End date |
2013-12-31 |
| Call identifier |
ERC-2009-StG |
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