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Simulation of fluid and particles flows: Asymptotic preserving schemes for bubbling and flowing regimes

José-Antonio Carrillo, Thierry Goudon and Pauline Lafitte
Journal of Computational Physics 227 (16) 7929 (2008)
DOI: 10.1016/j.jcp.2008.05.002
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Homogenization of transport equations: A simple PDE approach to the Kubo formula

Thierry Goudon and Frédéric Poupaud
Bulletin des Sciences Mathématiques 131 (1) 72 (2007)
DOI: 10.1016/j.bulsci.2006.03.010
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Asymptotic problems for wave–particle interactions: quantum and classical models

François Castella, Pierre Degond and Thierry Goudon
Nonlinearity 20 (7) 1677 (2007)
DOI: 10.1088/0951-7715/20/7/008
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A level set approach for dilute non-collisional fluid-particle flows

Hailiang Liu, Zhongming Wang and Rodney O. Fox
Journal of Computational Physics 230 (4) 920 (2011)
DOI: 10.1016/j.jcp.2010.08.030
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A Fluid-Kinetic Model for Particulate Flows with Coagulation and Breakup: Stationary Solutions, Stability, and Hydrodynamic Regimes

Thierry Goudon, Mamadou Sy and Léon M. Tiné
SIAM Journal on Applied Mathematics 73 (1) 401 (2013)
DOI: 10.1137/120861515
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The Inertialess Limit of Particle Sedimentation Modeled by the Vlasov--Stokes Equations

Richard M. Höfer
SIAM Journal on Mathematical Analysis 50 (5) 5446 (2018)
DOI: 10.1137/18M1165554
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Quantum Transport and Boltzmann Operators

Philippe Bechouche, Frédéric Poupaud and Juan Soler
Journal of Statistical Physics 122 (3) 417 (2006)
DOI: 10.1007/s10955-005-8082-y
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A Semi-Lagrangian Approach for Dilute Non-Collisional Fluid-Particle Flows

Aude Bernard-Champmartin, Jean-Philippe Braeunig, Christophe Fochesato and Thierry Goudon
Communications in Computational Physics 19 (3) 801 (2016)
DOI: 10.4208/cicp.180315.110915a
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Statistical Stability for Transport in Random Media

Thierry Goudon and Alexis F. Vasseur
Multiscale Modeling & Simulation 17 (1) 507 (2019)
DOI: 10.1137/18M1184643
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