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Volume 12, 2019

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Volume 10, 2017

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Volume 7, 2014

Volume 6, 2013

Volume 5, 2012

Volume 4, 2011

Volume 3, 2010

Volume 2, 2009

Volume 1, 2008

KRM publishes high quality papers of original research in the areas of kinetic equations spanning from mathematical theory to numerical analysis, simulations and modelling. It includes studies on models arising from physics, engineering, finance, biology, human and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems. A more detailed indication of its scope is given by the subject interests of the members of the Board of Editors. Invited expository articles are also published from time to time.

Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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The Neumann numerical boundary condition for transport equations
Jean-François Coulombel and Frédéric Lagoutière
2020, 13(1) : 1-32 doi: 10.3934/krm.2020001 +[Abstract](11) +[HTML](11) +[PDF](545.99KB)
A kinetic approach of the bi-temperature Euler model
Stéphane Brull, Bruno Dubroca and Corentin Prigent
2020, 13(1) : 33-61 doi: 10.3934/krm.2020002 +[Abstract](14) +[HTML](18) +[PDF](2132.5KB)
On the Maxwell-Stefan diffusion limit for a reactive mixture of polyatomic gases in non-isothermal setting
B. Anwasia, M. Bisi, F. Salvarani and A. J. Soares
2020, 13(1) : 63-95 doi: 10.3934/krm.2020003 +[Abstract](12) +[HTML](16) +[PDF](456.61KB)
Hypocoercivity of linear kinetic equations via Harris's Theorem
José A. Cañizo, Chuqi Cao, Josephine Evans and Havva Yoldaş
2020, 13(1) : 97-128 doi: 10.3934/krm.2020004 +[Abstract](11) +[HTML](11) +[PDF](504.89KB)
Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium
Joackim Bernier and Michel Mehrenberger
2020, 13(1) : 129-168 doi: 10.3934/krm.2020005 +[Abstract](15) +[HTML](15) +[PDF](1298.94KB)
Kinetic models of conservative economies with need-based transfers as welfare
Kirk Kayser, Dieter Armbruster and Michael Herty
2020, 13(1) : 169-185 doi: 10.3934/krm.2020006 +[Abstract](16) +[HTML](16) +[PDF](513.12KB)
Global analytic solutions of the semiconductor Boltzmann-Dirac-Benney equation with relaxation time approximation
Marcel Braukhoff
2020, 13(1) : 187-210 doi: 10.3934/krm.2020007 +[Abstract](12) +[HTML](15) +[PDF](419.99KB)
From particle to kinetic and hydrodynamic descriptions of flocking
Seung-Yeal Ha and Eitan Tadmor
2008, 1(3) : 415-435 doi: 10.3934/krm.2008.1.415 +[Abstract](3229) +[PDF](271.2KB) Cited By(141)
Mathematical theory and numerical methods for Bose-Einstein condensation
Weizhu Bao and Yongyong Cai
2013, 6(1) : 1-135 doi: 10.3934/krm.2013.6.1 +[Abstract](3473) +[PDF](3152.1KB) Cited By(104)
Double milling in self-propelled swarms from kinetic theory
José A. Carrillo, M. R. D’Orsogna and V. Panferov
2009, 2(2) : 363-378 doi: 10.3934/krm.2009.2.363 +[Abstract](3139) +[PDF](299.0KB) Cited By(103)
Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system
Marion Acheritogaray, Pierre Degond, Amic Frouvelle and Jian-Guo Liu
2011, 4(4) : 901-918 doi: 10.3934/krm.2011.4.901 +[Abstract](2753) +[PDF](409.3KB) Cited By(67)
On the dynamics of social conflicts: Looking for the black swan
Nicola Bellomo, Miguel A. Herrero and Andrea Tosin
2013, 6(3) : 459-479 doi: 10.3934/krm.2013.6.459 +[Abstract](2165) +[PDF](702.8KB) Cited By(41)
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation
Giulia Ajmone Marsan, Nicola Bellomo and Massimo Egidi
2008, 1(2) : 249-278 doi: 10.3934/krm.2008.1.249 +[Abstract](1818) +[PDF](329.0KB) Cited By(40)
The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
Quansen Jiu and Zhouping Xin
2008, 1(2) : 313-330 doi: 10.3934/krm.2008.1.313 +[Abstract](2299) +[PDF](247.8KB) Cited By(36)
On a chemotaxis model with saturated chemotactic flux
Alina Chertock, Alexander Kurganov, Xuefeng Wang and Yaping Wu
2012, 5(1) : 51-95 doi: 10.3934/krm.2012.5.51 +[Abstract](2776) +[PDF](1412.8KB) Cited By(36)
Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff
Zhaohui Huo, Yoshinori Morimoto, Seiji Ukai and Tong Yang
2008, 1(3) : 453-489 doi: 10.3934/krm.2008.1.453 +[Abstract](2427) +[PDF](398.4KB) Cited By(29)
Fluid dynamic limit to the Riemann Solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity
Feimin Huang, Yi Wang and Tong Yang
2010, 3(4) : 685-728 doi: 10.3934/krm.2010.3.685 +[Abstract](2295) +[PDF](606.8KB) Cited By(28)
A quantum Drift-Diffusion model and its use into a hybrid strategy for strongly confined nanostructures
Clément Jourdana and Paola Pietra
2019, 12(1) : 217-242 doi: 10.3934/krm.2019010 +[Abstract](2783) +[HTML](207) +[PDF](1843.94KB) PDF Downloads(107)
Global solution to the 3-D inhomogeneous incompressible MHD system with discontinuous density
Fei Chen, Boling Guo and Xiaoping Zhai
2019, 12(1) : 37-58 doi: 10.3934/krm.2019002 +[Abstract](3195) +[HTML](194) +[PDF](487.82KB) PDF Downloads(103)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](3901) +[HTML](318) +[PDF](273.0KB) PDF Downloads(101)
Stable manifolds for a class of singular evolution equations and exponential decay of kinetic shocks
Alin Pogan and Kevin Zumbrun
2019, 12(1) : 1-36 doi: 10.3934/krm.2019001 +[Abstract](2794) +[HTML](202) +[PDF](632.1KB) PDF Downloads(101)
A pedestrian flow model with stochastic velocities: Microscopic and macroscopic approaches
Simone Göttlich, Stephan Knapp and Peter Schillen
2018, 11(6) : 1333-1358 doi: 10.3934/krm.2018052 +[Abstract](2787) +[HTML](73) +[PDF](652.68KB) PDF Downloads(101)
Linear Boltzmann equation and fractional diffusion
Claude Bardos, François Golse and Ivan Moyano
2018, 11(4) : 1011-1036 doi: 10.3934/krm.2018039 +[Abstract](3046) +[HTML](163) +[PDF](470.71KB) PDF Downloads(94)
A deterministic-stochastic method for computing the Boltzmann collision integral in $\mathcal{O}(MN)$ operations
Alexander Alekseenko, Truong Nguyen and Aihua Wood
2018, 11(5) : 1211-1234 doi: 10.3934/krm.2018047 +[Abstract](2844) +[HTML](869) +[PDF](2466.17KB) PDF Downloads(90)
A general consistent BGK model for gas mixtures
Alexander V. Bobylev, Marzia Bisi, Maria Groppi, Giampiero Spiga and Irina F. Potapenko
2018, 11(6) : 1377-1393 doi: 10.3934/krm.2018054 +[Abstract](2955) +[HTML](111) +[PDF](459.44KB) PDF Downloads(85)
Mathematical modeling of a discontinuous solution of the generalized Poisson-Nernst-Planck problem in a two-phase medium
Victor A. Kovtunenko and Anna V. Zubkova
2018, 11(1) : 119-135 doi: 10.3934/krm.2018007 +[Abstract](4149) +[HTML](844) +[PDF](452.3KB) PDF Downloads(84)
Uniform stability of the Cucker-Smale model and its application to the Mean-Field limit
Seung-Yeal Ha, Jeongho Kim and Xiongtao Zhang
2018, 11(5) : 1157-1181 doi: 10.3934/krm.2018045 +[Abstract](3223) +[HTML](139) +[PDF](532.38KB) PDF Downloads(84)

2018  Impact Factor: 1.38




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