ISSN:
 1937-5093

eISSN:
 1937-5077

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Volume 15, 2022

Volume 14, 2021

Volume 13, 2020

Volume 12, 2019

Volume 11, 2018

Volume 10, 2017

Volume 9, 2016

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Volume 7, 2014

Volume 6, 2013

Volume 5, 2012

Volume 4, 2011

Volume 3, 2010

Volume 2, 2009

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Kinetic and Related Models (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, health and social sciences, together with their related fields such as fluid models, interacting particle systems and quantum systems provided their connection with kinetic theory is part of the work. Invited expository articles are also published from time to time.


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Propagation of chaos: A review of models, methods and applications. I. Models and methods
Louis-Pierre Chaintron and Antoine Diez
2022, 15(6) : 895-1015 doi: 10.3934/krm.2022017 +[Abstract](294) +[HTML](77) +[PDF](1419.17KB)
Propagation of chaos: A review of models, methods and applications. Ⅱ. Applications
Louis-Pierre Chaintron and Antoine Diez
2022, 15(6) : 1017-1173 doi: 10.3934/krm.2022018 +[Abstract](323) +[HTML](90) +[PDF](1820.0KB)
Decay estimates for the $ 3D $ relativistic and non-relativistic Vlasov-Poisson systems
Xuecheng Wang
2022doi: 10.3934/krm.2022019 +[Abstract](218) +[HTML](69) +[PDF](509.74KB)
On solutions of Vlasov-Poisson-Landau equations for slowly varying in space initial data
Alexander Bobylev and Irina Potapenko
2022doi: 10.3934/krm.2022020 +[Abstract](301) +[HTML](87) +[PDF](1339.29KB)
Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system
Young-Pil Choi and In-Jee Jeong
2022doi: 10.3934/krm.2022021 +[Abstract](212) +[HTML](151) +[PDF](443.8KB)
The stochastic delayed Cucker-Smale system in a harmonic potential field
Linglong Du and Xinyun Zhou
2022doi: 10.3934/krm.2022022 +[Abstract](169) +[HTML](187) +[PDF](657.84KB)
Global existence of strong solutions to the kinetic Cucker-Smale model coupled with the two dimensional incompressible Navier-Stokes equations
Chunyin Jin
2022doi: 10.3934/krm.2022023 +[Abstract](155) +[HTML](59) +[PDF](550.74KB)
Sufficient conditions for asymptotic phase-locking to the generalized Kuramoto model
Chanho Min, Hyunjin Ahn, Seung-Yeal Ha and Myeongju Kang
2022doi: 10.3934/krm.2022024 +[Abstract](201) +[HTML](61) +[PDF](676.64KB)
Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy
Yong Wang, Changguo Xiao and Yinghui Zhang
2022doi: 10.3934/krm.2022025 +[Abstract](150) +[HTML](56) +[PDF](701.6KB)
A simple proof of non-explosion for measure solutions of the Keller-Segel equation
Nicolas Fournier and Yoan Tardy
2022doi: 10.3934/krm.2022026 +[Abstract](121) +[HTML](47) +[PDF](324.81KB)
Local well-posedness for a class of singular Vlasov equations
Thomas Chaub
2022doi: 10.3934/krm.2022027 +[Abstract](158) +[HTML](54) +[PDF](480.29KB)
About Lanford's theorem in the half-space with specular reflection
Théophile Dolmaire
2022doi: 10.3934/krm.2022028 +[Abstract](185) +[HTML](51) +[PDF](1083.36KB)
A stochastic particle system approximating the BGK equation
Paolo Buttà and Mario Pulvirenti
2022doi: 10.3934/krm.2022029 +[Abstract](155) +[HTML](44) +[PDF](516.83KB)
Quantitative propagation of chaos for the mixed-sign viscous vortex model on the torus
Dominic Wynter
2022doi: 10.3934/krm.2022030 +[Abstract](76) +[HTML](19) +[PDF](458.67KB)
On $ C^{2} $ solution of the free-transport equation in a disk
Gyounghun Ko and Donghyun Lee
2022doi: 10.3934/krm.2022031 +[Abstract](90) +[HTML](14) +[PDF](834.53KB)
Hydrodynamic limit of a stochastic model of proliferating cells with chemotaxis
Radosław Wieczorek
2022doi: 10.3934/krm.2022032 +[Abstract](52) +[HTML](10) +[PDF](642.92KB)
Cucker-Smale model with finite speed of information propagation: well-posedness, flocking and mean-field limit
Jan Haskovec
2022doi: 10.3934/krm.2022033 +[Abstract](27) +[HTML](14) +[PDF](558.15KB)
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](6661) +[PDF](271.2KB) Cited By(245)
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](9244) +[PDF](3152.1KB) Cited By(208)
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](6972) +[PDF](299.0KB) Cited By(145)
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](6153) +[PDF](409.3KB) Cited By(105)
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](4946) +[PDF](702.8KB) Cited By(71)
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](6091) +[PDF](1412.8KB) Cited By(60)
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](4018) +[PDF](329.0KB) Cited By(53)
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](4552) +[PDF](247.8KB) Cited By(49)
Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system
José A. Carrillo, Renjun Duan and Ayman Moussa
2011, 4(1) : 227-258 doi: 10.3934/krm.2011.4.227 +[Abstract](5377) +[PDF](584.8KB) Cited By(45)
Entropy and chaos in the Kac model
Eric A. Carlen, Maria C. Carvalho, Jonathan Le Roux, Michael Loss and Cédric Villani
2010, 3(1) : 85-122 doi: 10.3934/krm.2010.3.85 +[Abstract](4464) +[PDF](397.8KB) Cited By(39)
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](5982) +[HTML](243) +[PDF](459.44KB) PDF Downloads(641)
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](6531) +[HTML](220) +[PDF](532.38KB) PDF Downloads(528)
On time decay for the spherically symmetric Vlasov-Poisson system
Jack Schaeffer
2022, 15(4) : 721-727 doi: 10.3934/krm.2021021 +[Abstract](891) +[HTML](419) +[PDF](256.9KB) PDF Downloads(510)
A review of Boltzmann equation with singular kernels
Radjesvarane Alexandre
2009, 2(4) : 551-646 doi: 10.3934/krm.2009.2.551 +[Abstract](4060) +[PDF](940.2KB) PDF Downloads(481)
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](9244) +[PDF](3152.1KB) PDF Downloads(476)
On a Fokker-Planck equation for wealth distribution
Marco Torregrossa and Giuseppe Toscani
2018, 11(2) : 337-355 doi: 10.3934/krm.2018016 +[Abstract](5506) +[HTML](328) +[PDF](477.51KB) PDF Downloads(473)
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](6138) +[HTML](168) +[PDF](652.68KB) PDF Downloads(466)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](8010) +[HTML](494) +[PDF](273.0KB) PDF Downloads(448)
On the generic complete synchronization of the discrete Kuramoto model
Woojoo Shim
2020, 13(5) : 979-1005 doi: 10.3934/krm.2020034 +[Abstract](1352) +[HTML](57) +[PDF](527.18KB) PDF Downloads(445)
A second look at the Kurth solution in galactic dynamics
Markus Kunze
2022, 15(4) : 651-662 doi: 10.3934/krm.2021028 +[Abstract](729) +[HTML](361) +[PDF](416.16KB) PDF Downloads(441)

2021 Impact Factor: 1.398
5 Year Impact Factor: 1.685
2021 CiteScore: 2.7

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