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1

Boundary layers for discrete kinetic models: Multicomponent mixtures, polyatomic molecules, bimolecular reactions, and quantum kinetic equations

Kinetic and Related Models  Volume 10, Issue 4, Pages : 925 - 955, 2017

Niclas Bernhoff - (email)

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2

$L^\infty$ resolvent bounds for steady Boltzmann's equation

Kinetic and Related Models  Volume 10, Issue 4, Pages : 1255 - 1257, 2017

Kevin Zumbrun - (email)

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3

Kinetic models for traffic flow resulting in a reduced space of microscopic velocities

Kinetic and Related Models  Volume 10, Issue 3, Pages : 823 - 854, 2016

Gabriella Puppo - (email), Matteo Semplice - (email), Andrea Tosin - (email), Giuseppe Visconti - (email)

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4

Perturbative theory for the Boltzmann equation in bounded domains with different boundary conditions

Kinetic and Related Models  Volume 10, Issue 2, Pages : 329 - 371, 2016

Marc Briant - (email)

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5

Stability of global equilibrium for the multi-species Boltzmann equation in $L^\infty$ settings

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6669 - 6688, 2016

Marc Briant - (email)

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6

Oscillating nonlinear acoustic shock waves

Evolution Equations and Control Theory  Volume 5, Issue 3, Pages : 367 - 381, 2016

Yuri Gaididei - (email), Anders Rønne Rasmussen - (email), Peter Leth Christiansen - (email), Mads Peter Sørensen - (email)

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7

Entropy production for ellipsoidal BGK model of the Boltzmann equation

Kinetic and Related Models  Volume 9, Issue 3, Pages : 605 - 619, 2016

Seok-Bae Yun - (email)

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8

The relative entropy method for the stability of intermediate shock waves; the rich case

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4569 - 4577, 2016

Denis Serre - (email), Alexis F. Vasseur - (email)

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9

Sharp regularity properties for the non-cutoff spatially homogeneous Boltzmann equation

Kinetic and Related Models  Volume 9, Issue 2, Pages : 299 - 371, 2016

Léo Glangetas - (email), Hao-Guang Li - (email), Chao-Jiang Xu - (email)

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10

On the Cauchy problem for the Boltzmann equation in Chemin-Lerner type spaces

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 2229 - 2256, 2015

Hao Tang - (email), Zhengrong Liu - (email)

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11

Mean--field control and Riccati equations

Networks and Heterogeneous Media  Volume 10, Issue 3, Pages : 699 - 715, 2015

Michael Herty - (email), Lorenzo Pareschi - (email), Sonja Steffensen - (email)

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12

Uniform stability of the Boltzmann equation with an external force near vacuum

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 811 - 823, 2015

Zhigang Wu - (email), Wenjun Wang - (email)

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13

Instantaneous exponential lower bound for solutions to the Boltzmann equation with Maxwellian diffusion boundary conditions

Kinetic and Related Models  Volume 8, Issue 2, Pages : 281 - 308, 2015

Marc Briant - (email)

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14

On the homogeneous Boltzmann equation with soft-potential collision kernels

Kinetic and Related Models  Volume 8, Issue 2, Pages : 309 - 333, 2015

Yong-Kum Cho - (email)

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15

On the Boltzmann equation for charged particle beams under the effect of strong magnetic fields

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 339 - 371, 2015

Mihai Bostan - (email)

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16

On the Boltzmann equation with the symmetric stable Lévy process

Kinetic and Related Models  Volume 8, Issue 1, Pages : 53 - 77, 2014

Yong-Kum Cho - (email)

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17

Second-sound phenomena in inviscid, thermally relaxing gases

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2189 - 2205, 2014

Pedro M. Jordan - (email)

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18

Shocks and acceleration waves in modern continuum mechanics and in social systems

Evolution Equations and Control Theory  Volume 3, Issue 3, Pages : 541 - 555, 2014

Brian Straughan - (email)

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19

New insights into the numerical solution of the Boltzmann transport equation for photons

Kinetic and Related Models  Volume 7, Issue 3, Pages : 433 - 461, 2014

Taposh Kumar Das - (email), Óscar López Pouso - (email)

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20

A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods

Kinetic and Related Models  Volume 7, Issue 3, Pages : 531 - 549, 2014

Julian Koellermeier - (email), Roman Pascal Schaerer - (email), Manuel Torrilhon - (email)

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21

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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22

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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23

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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24

Qualitative analysis of some PDE models of traffic flow

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 773 - 781, 2013

Tong Li - (email)

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25

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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26

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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27

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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28

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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29

Geometric singular perturbation approach to the existence and instability of stationary waves for viscous traffic flow models

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1501 - 1526, 2012

John M. Hong - (email), Cheng-Hsiung Hsu - (email), Bo-Chih Huang - (email), Tzi-Sheng Yang - (email)

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30

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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31

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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32

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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33

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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34

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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35

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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36

Shock formation in a traffic flow model with Arrhenius look-ahead dynamics

Networks and Heterogeneous Media  Volume 6, Issue 4, Pages : 681 - 694, 2011

Dong Li - (email), Tong Li - (email)

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37

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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38

Stagnation-point flow of a rarefied gas impinging obliquely on a plane wall

Kinetic and Related Models  Volume 4, Issue 4, Pages : 935 - 954, 2011

Kazuo Aoki - (email), Yoshiaki Abe - (email)

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39

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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40

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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41

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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42

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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43

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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44

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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45

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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46

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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47

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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48

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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49

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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50

Shock formation and breaking in granular avalanches

Discrete and Continuous Dynamical Systems  Volume 27, Issue 2, Pages : 693 - 714, 2010

Michael Shearer - (email), Nicholas Giffen - (email)

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51

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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52

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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53

$\mathcal H$-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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54

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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55

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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56

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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57

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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58

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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59

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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60

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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61

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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62

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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63

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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64

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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65

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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66

On shock waves in solids

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 573 - 580, 2007

James K. Knowles - (email)

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67

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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68

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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69

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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70

On the 2-D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 419 - 430, 2000

Tung Chang - (email), Gui-Qiang Chen - (email), Shuli Yang - (email)

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