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1

Stability and modeling error for the Boltzmann equation

Kinetic and Related Models  Volume 7, Issue 2, Pages : 401 - 414, 2014

El Miloud Zaoui - (email), Marc Laforest - (email)

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2

Transport coefficients in the $2$-dimensional Boltzmann equation

Kinetic and Related Models  Volume 6, Issue 4, Pages : 789 - 800, 2013

Alexander Bobylev - (email), Raffaele Esposito - (email)

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3

Local existence with mild regularity for the Boltzmann equation

Kinetic and Related Models  Volume 6, Issue 4, Pages : 1011 - 1041, 2013

Radjesvarane Alexandre - (email), Yoshinori Morimoto - (email), Seiji Ukai - (email), Chao-Jiang Xu - (email), Tong Yang - (email)

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4

The moment guided Monte Carlo method for the Boltzmann equation

Kinetic and Related Models  Volume 6, Issue 2, Pages : 291 - 315, 2013

Giacomo Dimarco - (email)

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5

Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation

Kinetic and Related Models  Volume 6, Issue 2, Pages : 407 - 427, 2013

Léo Glangetas - (email), Mohamed Najeme - (email)

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6

Exponential stability of the solutions to the Boltzmann equation for the Benard problem

Kinetic and Related Models  Volume 5, Issue 4, Pages : 673 - 695, 2012

Leif Arkeryd - (email), Raffaele Esposito - (email), Rossana Marra - (email), Anne Nouri - (email)

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7

On the gain of regularity for the positive part of Boltzmann collision operator associated with soft-potentials

Kinetic and Related Models  Volume 5, Issue 4, Pages : 769 - 786, 2012

Yong-Kum Cho - (email), Hera Yun - (email)

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8

A quadratic Fourier representation of the Boltzmann collision operator with an application to the stability problem

Kinetic and Related Models  Volume 5, Issue 3, Pages : 441 - 458, 2012

Yong-Kum Cho - (email)

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9

A remark on Cannone-Karch solutions to the homogeneous Boltzmann equation for Maxwellian molecules

Kinetic and Related Models  Volume 5, Issue 3, Pages : 551 - 561, 2012

Yoshinori Morimoto - (email)

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10

Optimal time decay of the non cut-off Boltzmann equation in the whole space

Kinetic and Related Models  Volume 5, Issue 3, Pages : 583 - 613, 2012

Robert M. Strain - (email)

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11

Erratum to: Ghost effect by curvature in planar Couette flow [1]

Kinetic and Related Models  Volume 5, Issue 3, Pages : 669 - 672, 2012

Leif Arkeryd - (email), Raffaele Esposito - (email), Rossana Marra - (email), Anne Nouri - (email)

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12

Unique moment set from the order of magnitude method

Kinetic and Related Models  Volume 5, Issue 2, Pages : 417 - 440, 2012

Henning Struchtrup - (email)

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13

Boundary layers and shock profiles for the discrete Boltzmann equation for mixtures

Kinetic and Related Models  Volume 5, Issue 1, Pages : 1 - 19, 2012

Niclas Bernhoff - (email)

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14

Ghost effect for a vapor-vapor mixture

Kinetic and Related Models  Volume 5, Issue 1, Pages : 21 - 50, 2012

Stéphane Brull - (email)

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15

Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential

Kinetic and Related Models  Volume 4, Issue 4, Pages : 919 - 934, 2011

Radjesvarane Alexandre - (email), Yoshinori Morimoto - (email), Seiji Ukai - (email), Chao-Jiang Xu - (email), Tong Yang - (email)

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16

Validity of the Boltzmann equation with an external force

Kinetic and Related Models  Volume 4, Issue 2, Pages : 499 - 515, 2011

Raffaele Esposito - (email), Yan Guo - (email), Rossana Marra - (email)

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17

Bounded solutions of the Boltzmann equation in the whole space

Kinetic and Related Models  Volume 4, Issue 1, Pages : 17 - 40, 2011

Radjesvarane Alexandre - (email), Yoshinori Morimoto - (email), Seiji Ukai - (email), Chao-Jiang Xu - (email), Tong Yang - (email)

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18

On the speed of approach to equilibrium for a collisionless gas

Kinetic and Related Models  Volume 4, Issue 1, Pages : 87 - 107, 2011

Kazuo Aoki - (email), François Golse - (email)

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19

Ghost effect by curvature in planar Couette flow

Kinetic and Related Models  Volume 4, Issue 1, Pages : 109 - 138, 2011

Leif Arkeryd - (email), Raffaele Esposito - (email), Rossana Marra - (email), Anne Nouri - (email)

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20

A numerical model of the Boltzmann equation related to the discontinuous Galerkin method

Kinetic and Related Models  Volume 4, Issue 1, Pages : 139 - 151, 2011

Armando Majorana - (email)

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21

Fourteen moment theory for granular gases

Kinetic and Related Models  Volume 4, Issue 1, Pages : 317 - 331, 2011

Gilberto M. Kremer - (email), Wilson Marques Jr. - (email)

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22

The initial layer for Rayleigh problem

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 137 - 170, 2010

Hung-Wen Kuo - (email)

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23

Fluid dynamic limit to the Riemann Solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity

Kinetic and Related Models  Volume 3, Issue 4, Pages : 685 - 728, 2010

Feimin Huang - (email), Yi Wang - (email), Tong Yang - (email)

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24

On half-space problems for the weakly non-linear discrete Boltzmann equation

Kinetic and Related Models  Volume 3, Issue 2, Pages : 195 - 222, 2010

Niclas Bernhoff - (email)

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25

A Boltzmann-type model for market economy and its continuous trading limit

Kinetic and Related Models  Volume 3, Issue 2, Pages : 223 - 239, 2010

Marzia Bisi - (email), Giampiero Spiga - (email)

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26

Rigorous validity of the Boltzmann equation for a thin layer of a rarefied gas

Kinetic and Related Models  Volume 3, Issue 2, Pages : 281 - 297, 2010

Raffaele Esposito - (email), Mario Pulvirenti - (email)

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27

Fluid modeling for the Knudsen compressor: Case of polyatomic gases

Kinetic and Related Models  Volume 3, Issue 2, Pages : 353 - 372, 2010

Shigeru Takata - (email), Hitoshi Funagane - (email), Kazuo Aoki - (email)

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28

Discrete velocity models of the Boltzmann equation and conservation laws

Kinetic and Related Models  Volume 3, Issue 1, Pages : 35 - 58, 2010

Alexander Bobylev - (email), Mirela Vinerean - (email), Åsa Windfäll - (email)

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29

Gevrey regularizing effect of the Cauchy problem for non-cutoff homogeneous Kac's equation

Kinetic and Related Models  Volume 2, Issue 4, Pages : 647 - 666, 2009

Nadia Lekrine - (email), Chao-Jiang Xu - (email)

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30

Existence and sharp localization in velocity of small-amplitude Boltzmann shocks

Kinetic and Related Models  Volume 2, Issue 4, Pages : 667 - 705, 2009

Guy Métivier - (email), K. Zumbrun - (email)

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31

$\mathcal H$-Theorem and trend to equilibrium of chemically reacting mixtures of gases

Kinetic and Related Models  Volume 2, Issue 2, Pages : 333 - 343, 2009

Gilberto M. Kremer - (email), Filipe Oliveira - (email), Ana Jacinta Soares - (email)

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32

Propagation of singularities for classical solutions of the Vlasov-Poisson-Boltzmann equation

Discrete and Continuous Dynamical Systems  Volume 24, Issue 1, Pages : 13 - 33, 2009

Laurent Bernis - (email), Laurent Desvillettes - (email)

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33

The Boltzmann equation in the 20th century

Discrete and Continuous Dynamical Systems  Volume 24, Issue 1, Pages : 83 - 94, 2009

Carlo Cercignani - (email)

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34

Boltzmann equation, boundary effects

Discrete and Continuous Dynamical Systems  Volume 24, Issue 1, Pages : 145 - 157, 2009

Tai-Ping Liu - (email), Shih-Hsien Yu - (email)

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35

Regularity of solutions to the spatially homogeneous Boltzmann equation without angular cutoff

Discrete and Continuous Dynamical Systems  Volume 24, Issue 1, Pages : 187 - 212, 2009

Yoshinori Morimoto - (email), Seiji Ukai - (email), Chao-Jiang Xu - (email), Tong Yang - (email)

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36

Semilagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics

Kinetic and Related Models  Volume 2, Issue 1, Pages : 231 - 250, 2009

Giovanni Russo - (email), Francis Filbet - (email)

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37

On some properties of linear and linearized Boltzmann collision operators for hard spheres

Kinetic and Related Models  Volume 1, Issue 4, Pages : 521 - 555, 2008

A. V. Bobylev - (email), E. Mossberg - (email)

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38

Exterior Problem of Boltzmann Equation with Temperature Difference

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 473 - 491, 2008

Seiji Ukai - (email), Tong Yang - (email), Huijiang Zhao - (email)

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39

Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 495 - 520, 2008

Seiji Ukai - (email), Tong Yang - (email), Huijiang Zhao - (email)

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40

Problem of evaporation-condensation for a two component gas in the slab

Kinetic and Related Models  Volume 1, Issue 2, Pages : 185 - 221, 2008

Stéphane Brull - (email)

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41

Propagation of Gevrey regularity for solutions of Landau equations

Kinetic and Related Models  Volume 1, Issue 3, Pages : 355 - 368, 2008

Hua Chen - (email), Wei-Xi Li - (email), Chao-Jiang Xu - (email)

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42

A new regularization possibility for the Boltzmann equation with soft potentials

Kinetic and Related Models  Volume 1, Issue 3, Pages : 405 - 414, 2008

Nicolas Fournier - (email)

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43

Analysis of a model for wealth redistribution

Kinetic and Related Models  Volume 1, Issue 1, Pages : 1 - 27, 2008

Daniel Matthes - (email), Giuseppe Toscani - (email)

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44

Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 253 - 277, 2006

Renjun Duan - (email), Tong Yang - (email), Changjiang Zhu - (email)

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45

Time-periodic solutions of the Boltzmann equation

Discrete and Continuous Dynamical Systems  Volume 14, Issue 3, Pages : 579 - 596, 2005

Seiji Ukai - (email)

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46

An introduction to kinetic equations: the Vlasov-Poisson system and the Boltzmann equation

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 361 - 380, 2002

Jean Dolbeault - (email)

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