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Rigorous derivation of the Landau equation in the weak coupling limit
1. | Massachusetts Institute of Technology, 77 Mass. Ave., Cambridge, MA 02139, United States |
[1] |
Seung-Yeal Ha, Doron Levy. Particle, kinetic and fluid models for phototaxis. Discrete and Continuous Dynamical Systems - B, 2009, 12 (1) : 77-108. doi: 10.3934/dcdsb.2009.12.77 |
[2] |
David Cowan. Rigid particle systems and their billiard models. Discrete and Continuous Dynamical Systems, 2008, 22 (1&2) : 111-130. doi: 10.3934/dcds.2008.22.111 |
[3] |
Heikki Haario, Leonid Kalachev, Marko Laine. Reduction and identification of dynamic models. Simple example: Generic receptor model. Discrete and Continuous Dynamical Systems - B, 2013, 18 (2) : 417-435. doi: 10.3934/dcdsb.2013.18.417 |
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N. Bellomo, A. Bellouquid. From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Discrete and Continuous Dynamical Systems - B, 2004, 4 (1) : 59-80. doi: 10.3934/dcdsb.2004.4.59 |
[5] |
Pierre Carcaud, Pierre-Henri Chavanis, Mohammed Lemou, Florian Méhats. Evaporation law in kinetic gravitational systems described by simplified Landau models. Discrete and Continuous Dynamical Systems - B, 2010, 14 (3) : 907-934. doi: 10.3934/dcdsb.2010.14.907 |
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Pierre Degond, Simone Goettlich, Axel Klar, Mohammed Seaid, Andreas Unterreiter. Derivation of a kinetic model from a stochastic particle system. Kinetic and Related Models, 2008, 1 (4) : 557-572. doi: 10.3934/krm.2008.1.557 |
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Seung-Yeal Ha, Eitan Tadmor. From particle to kinetic and hydrodynamic descriptions of flocking. Kinetic and Related Models, 2008, 1 (3) : 415-435. doi: 10.3934/krm.2008.1.415 |
[8] |
Christian Klingenberg, Marlies Pirner, Gabriella Puppo. A consistent kinetic model for a two-component mixture with an application to plasma. Kinetic and Related Models, 2017, 10 (2) : 445-465. doi: 10.3934/krm.2017017 |
[9] |
Charles Nguyen, Stephen Pankavich. A one-dimensional kinetic model of plasma dynamics with a transport field. Evolution Equations and Control Theory, 2014, 3 (4) : 681-698. doi: 10.3934/eect.2014.3.681 |
[10] |
Darryl D. Holm, Vakhtang Putkaradze, Cesare Tronci. Collisionless kinetic theory of rolling molecules. Kinetic and Related Models, 2013, 6 (2) : 429-458. doi: 10.3934/krm.2013.6.429 |
[11] |
Emmanuel Frénod, Mathieu Lutz. On the Geometrical Gyro-Kinetic theory. Kinetic and Related Models, 2014, 7 (4) : 621-659. doi: 10.3934/krm.2014.7.621 |
[12] |
Valery Imaikin, Alexander Komech, Herbert Spohn. Scattering theory for a particle coupled to a scalar field. Discrete and Continuous Dynamical Systems, 2004, 10 (1&2) : 387-396. doi: 10.3934/dcds.2004.10.387 |
[13] |
Pierre Degond, Hailiang Liu. Kinetic models for polymers with inertial effects. Networks and Heterogeneous Media, 2009, 4 (4) : 625-647. doi: 10.3934/nhm.2009.4.625 |
[14] |
Michael Herty, Gabriella Puppo, Sebastiano Roncoroni, Giuseppe Visconti. The BGK approximation of kinetic models for traffic. Kinetic and Related Models, 2020, 13 (2) : 279-307. doi: 10.3934/krm.2020010 |
[15] |
Paolo Barbante, Aldo Frezzotti, Livio Gibelli. A kinetic theory description of liquid menisci at the microscale. Kinetic and Related Models, 2015, 8 (2) : 235-254. doi: 10.3934/krm.2015.8.235 |
[16] |
Hung-Wen Kuo. Effect of abrupt change of the wall temperature in the kinetic theory. Kinetic and Related Models, 2019, 12 (4) : 765-789. doi: 10.3934/krm.2019030 |
[17] |
José Antonio Alcántara, Simone Calogero. On a relativistic Fokker-Planck equation in kinetic theory. Kinetic and Related Models, 2011, 4 (2) : 401-426. doi: 10.3934/krm.2011.4.401 |
[18] |
Michael Herty, Christian Ringhofer. Averaged kinetic models for flows on unstructured networks. Kinetic and Related Models, 2011, 4 (4) : 1081-1096. doi: 10.3934/krm.2011.4.1081 |
[19] |
Pierre Monmarché. Hypocoercive relaxation to equilibrium for some kinetic models. Kinetic and Related Models, 2014, 7 (2) : 341-360. doi: 10.3934/krm.2014.7.341 |
[20] |
Alina Chertock, Changhui Tan, Bokai Yan. An asymptotic preserving scheme for kinetic models with singular limit. Kinetic and Related Models, 2018, 11 (4) : 735-756. doi: 10.3934/krm.2018030 |
2021 Impact Factor: 1.273
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