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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

Eigenvalues, bifurcation and one-sign solutions for the periodic $p$-Laplacian

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2839 - 2872, 2013

Guowei Dai - (email), Ruyun Ma - (email), Haiyan Wang - (email)

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5

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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6

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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7

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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8

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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9

On the spectrum of the superposition of separated potentials.

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 273 - 281, 2012

J. Douglas Wright - (email)

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10

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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11

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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12

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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13

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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14

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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15

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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16

The Evans function and the Weyl-Titchmarsh function

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 5, Pages : 939 - 970, 2012

Yuri Latushkin - (email), Alim Sukhtayev - (email)

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17

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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18

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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19

Symmetry breaking and other features for Eigenvalue problems

DCDS Supplements  Volume 2011, Issue Special, Pages : 61 - 70, 2011

Claudia Anedda - (email), Giovanni Porru - (email)

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20

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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21

$H^{1,p}$-eigenvalues and $L^\infty$-estimates in quasicylindrical domains

Communications on Pure and Applied Analysis  Volume 10, Issue 5, Pages : 1315 - 1329, 2011

Antonio Vitolo - (email)

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22

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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23

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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24

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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25

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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26

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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27

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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28

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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29

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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30

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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31

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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32

Nodal minimal partitions in dimension $3$

Discrete and Continuous Dynamical Systems  Volume 28, Issue 2, Pages : 617 - 635, 2010

Bernard Helffer - (email), Thomas Hoffmann-Ostenhof - (email), Susanna Terracini - (email)

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33

A Neumann eigenvalue problem for fully nonlinear operators

Discrete and Continuous Dynamical Systems  Volume 28, Issue 2, Pages : 845 - 863, 2010

Isabeau Birindelli - (email), Stefania Patrizi - (email)

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34

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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35

Laplacians on the basilica Julia set

Communications on Pure and Applied Analysis  Volume 9, Issue 1, Pages : 211 - 231, 2009

Luke G. Rogers - (email), Alexander Teplyaev - (email)

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36

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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37

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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38

Existence of nodal solutions of multi-point boundary value problems

DCDS Supplements  Volume 2009, Issue Special, Pages : 457 - 465, 2009

Lingju Kong - (email), Qingkai Kong - (email)

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39

$\mathcal H$-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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40

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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41

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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42

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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43

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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44

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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45

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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46

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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47

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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48

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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49

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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50

Where to place a spherical obstacle so as to maximize the second Dirichlet eigenvalue

Communications on Pure and Applied Analysis  Volume 7, Issue 5, Pages : 1193 - 1201, 2008

Rola Kiwan - (email), Ahmad El Soufi - (email)

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51

A semilinear $A$-spectrum

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 2, Pages : 235 - 242, 2008

C. T. Cremins - (email), G. Infante - (email)

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52

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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53

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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54

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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55

A bound for ratios of eigenvalues of Schrodinger operators on the real line

DCDS Supplements  Volume 2005, Issue Special, Pages : 403 - 409, 2005

Miklós Horváth - (email), Márton Kiss - (email)

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56

A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium

Discrete and Continuous Dynamical Systems  Volume 10, Issue 4, Pages : 925 - 940, 2004

Jonathan E. Rubin - (email)

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57

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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58

An overview on linear and nonlinear Dirac equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 381 - 397, 2002

Maria J. Esteban - (email), Eric Séré - (email)

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59

Positivity of Paneitz operators

Discrete and Continuous Dynamical Systems  Volume 7, Issue 2, Pages : 329 - 342, 2001

Xingwang Xu - (email), Paul C. Yang - (email)

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60

Symmetry results for functions yielding best constants in Sobolev-type inequalities

Discrete and Continuous Dynamical Systems  Volume 6, Issue 3, Pages : 683 - 690, 2000

Bernhard Kawohl - (email)

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61

POSITIVITY OF PANEITZ OPERATORS

Discrete and Continuous Dynamical Systems  Volume 6, Issue 3, Pages : 329 - 342,

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