ISSN:
 1937-5093

eISSN:
 1937-5077

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Volume 12, 2019

Volume 11, 2018

Volume 10, 2017

Volume 9, 2016

Volume 8, 2015

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.

KRM was launched in 2008 and is edited by a group of energetic leaders to guarantee the journal's highest standard and closest link to the scientific communities. A unique feature of this journal is its streamlined review process and rapid publication. Authors are kept informed throughout the process through direct and personal communication between the authors and editors.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 6 issues a year in February, April, June, August, October and December.
  • Publishes online only.
  • Indexed in Science Citation Index, ISI Alerting Services, CompuMath Citation Index, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), INSPEC, Mathematical Reviews, MathSciNet, PASCAL/CNRS, Scopus, Web of Science and Zentralblatt MATH.
  • Archived in Portico and CLOCKSS.
  • KRM is a publication of the American Institute of Mathematical Sciences. All rights reserved.

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

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A recursive algorithm and a series expansion related to the homogeneous Boltzmann equation for hard potentials with angular cutoff
Nicolas Fournier
2019, 12(3) : 483-505 doi: 10.3934/krm.2019020 +[Abstract](298) +[HTML](29) +[PDF](496.89KB)
Fully conservative spectral Galerkin–Petrov method for the inhomogeneous Boltzmann equation
Torsten Keßler and Sergej Rjasanow
2019, 12(3) : 507-549 doi: 10.3934/krm.2019021 +[Abstract](330) +[HTML](29) +[PDF](1793.66KB)
Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
Étienne Bernard, Marie Doumic and Pierre Gabriel
2019, 12(3) : 551-571 doi: 10.3934/krm.2019022 +[Abstract](271) +[HTML](27) +[PDF](797.98KB)
Cucker-Smale flocking particles with multiplicative noises: Stochastic mean-field limit and phase transition
Young-Pil Choi and Samir Salem
2019, 12(3) : 573-592 doi: 10.3934/krm.2019023 +[Abstract](289) +[HTML](30) +[PDF](414.53KB)
Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations
Maxime Herda and Luis Miguel Rodrigues
2019, 12(3) : 593-636 doi: 10.3934/krm.2019024 +[Abstract](228) +[HTML](22) +[PDF](698.9KB)
Nonlinear stability of planar rarefaction wave to the three-dimensional Boltzmann equation
Teng Wang and Yi Wang
2019, 12(3) : 637-679 doi: 10.3934/krm.2019025 +[Abstract](273) +[HTML](32) +[PDF](692.44KB)
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](1951) +[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](2175) +[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](2034) +[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](1795) +[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](1414) +[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](1203) +[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](1519) +[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](1706) +[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](1581) +[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](1509) +[PDF](606.8KB) Cited By(28)
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](876) +[HTML](199) +[PDF](632.1KB) PDF Downloads(95)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](2868) +[HTML](295) +[PDF](273.0KB) PDF Downloads(89)
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](1084) +[HTML](180) +[PDF](487.82KB) PDF Downloads(75)
A Vlasov-Poisson plasma of infinite mass with a point charge
Gang Li and Xianwen Zhang
2018, 11(2) : 303-336 doi: 10.3934/krm.2018015 +[Abstract](1307) +[HTML](293) +[PDF](511.26KB) PDF Downloads(75)
Entropy production inequalities for the Kac Walk
Eric A. Carlen, Maria C. Carvalho and Amit Einav
2018, 11(2) : 219-238 doi: 10.3934/krm.2018012 +[Abstract](1327) +[HTML](290) +[PDF](477.57KB) PDF Downloads(74)
Linear Boltzmann equation and fractional diffusion
Claude Bardos, François Golse and Ivan Moyano
2018, 11(4) : 1011-1036 doi: 10.3934/krm.2018039 +[Abstract](1087) +[HTML](159) +[PDF](470.71KB) PDF Downloads(73)
Time-splitting methods to solve the Hall-MHD systems with Lévy noises
Zhong Tan, Huaqiao Wang and Yucong Wang
2019, 12(1) : 243-267 doi: 10.3934/krm.2019011 +[Abstract](876) +[HTML](167) +[PDF](491.35KB) PDF Downloads(70)
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](1037) +[HTML](107) +[PDF](459.44KB) PDF Downloads(69)
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](850) +[HTML](477) +[PDF](2466.17KB) PDF Downloads(68)
Solution to the Boltzmann equation in velocity-weighted Chemin-Lerner type spaces
Renjun Duan and Shota Sakamoto
2018, 11(6) : 1301-1331 doi: 10.3934/krm.2018051 +[Abstract](869) +[HTML](79) +[PDF](533.17KB) PDF Downloads(68)

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