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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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Sonic-supersonic solutions for the two-dimensional pseudo-steady full Euler equations
Yanbo Hu and Tong Li
2019, 12(6) : 1197-1228 doi: 10.3934/krm.2019046 +[Abstract](164) +[HTML](79) +[PDF](428.29KB)
Memory effects in measure transport equations
Fabio Camilli and Raul De Maio
2019, 12(6) : 1229-1245 doi: 10.3934/krm.2019047 +[Abstract](175) +[HTML](71) +[PDF](345.66KB)
Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation
Patrick Henning and Johan Wärnegård
2019, 12(6) : 1247-1271 doi: 10.3934/krm.2019048 +[Abstract](164) +[HTML](70) +[PDF](3318.3KB)
A kinetic theory approach to model pedestrian dynamics in bounded domains with obstacles
Daewa Kim and Annalisa Quaini
2019, 12(6) : 1273-1296 doi: 10.3934/krm.2019049 +[Abstract](234) +[HTML](80) +[PDF](11624.51KB)
Large amplitude stationary solutions of the Morrow model of gas ionization
Walter A. Strauss and Masahiro Suzuki
2019, 12(6) : 1297-1312 doi: 10.3934/krm.2019050 +[Abstract](141) +[HTML](74) +[PDF](1246.29KB)
Focusing solutions of the Vlasov-Poisson system
Katherine Zhiyuan Zhang
2019, 12(6) : 1313-1327 doi: 10.3934/krm.2019051 +[Abstract](141) +[HTML](58) +[PDF](353.6KB)
Mean-field limit of a spatially-extended FitzHugh-Nagumo neural network
Joachim Crevat
2019, 12(6) : 1329-1358 doi: 10.3934/krm.2019052 +[Abstract](152) +[HTML](83) +[PDF](1636.7KB)
A note on two species collisional plasma in bounded domains
Yunbai Cao
2019, 12(6) : 1359-1429 doi: 10.3934/krm.2019053 +[Abstract](132) +[HTML](75) +[PDF](694.68KB)
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](3063) +[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](3270) +[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](2983) +[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](2584) +[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](2047) +[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](1737) +[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](2203) +[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](2607) +[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](2290) +[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](2149) +[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](2567) +[HTML](202) +[PDF](632.1KB) PDF Downloads(98)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](3734) +[HTML](318) +[PDF](273.0KB) PDF Downloads(96)
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](2923) +[HTML](194) +[PDF](487.82KB) PDF Downloads(85)
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](2602) +[HTML](827) +[PDF](2466.17KB) PDF Downloads(81)
Linear Boltzmann equation and fractional diffusion
Claude Bardos, François Golse and Ivan Moyano
2018, 11(4) : 1011-1036 doi: 10.3934/krm.2018039 +[Abstract](2825) +[HTML](163) +[PDF](470.71KB) PDF Downloads(78)
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](3054) +[HTML](294) +[PDF](511.26KB) PDF Downloads(76)
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](2908) +[HTML](290) +[PDF](477.57KB) PDF Downloads(75)
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](2506) +[HTML](169) +[PDF](491.35KB) PDF Downloads(74)
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](3899) +[HTML](807) +[PDF](452.3KB) PDF Downloads(73)
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](2553) +[HTML](81) +[PDF](533.17KB) PDF Downloads(73)

2018  Impact Factor: 1.38

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