ISSN:
 1937-5093

eISSN:
 1937-5077

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Volume 14, 2021

Volume 13, 2020

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 Flyer: showing all essential information of the journal.
Kinetic & 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.


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

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The delayed Cucker-Smale model with short range communication weights
Zili Chen and Xiuxia Yin
2021, 14(6) : 929-948 doi: 10.3934/krm.2021030 +[Abstract](365) +[HTML](210) +[PDF](420.56KB)
Relativistic BGK model for massless particles in the FLRW spacetime
Byung-Hoon Hwang, Ho Lee and Seok-Bae Yun
2021, 14(6) : 949-959 doi: 10.3934/krm.2021031 +[Abstract](394) +[HTML](158) +[PDF](298.04KB)
The fragmentation equation with size diffusion: Small and large size behavior of stationary solutions
Philippe Laurençot and Christoph Walker
2021, 14(6) : 961-980 doi: 10.3934/krm.2021032 +[Abstract](231) +[HTML](93) +[PDF](355.58KB)
Macroscopic descriptions of follower-leader systems
Sara Bernardi, Gissell Estrada-Rodriguez, Heiko Gimperlein and Kevin J. Painter
2021, 14(6) : 981-1002 doi: 10.3934/krm.2021035 +[Abstract](283) +[HTML](113) +[PDF](645.26KB)
Uniform-in-time continuum limit of the lattice Winfree model and emergent dynamics
Seung-Yeal Ha, Myeongju Kang and Bora Moon
2021, 14(6) : 1003-1033 doi: 10.3934/krm.2021036 +[Abstract](217) +[HTML](105) +[PDF](1068.85KB)
Uniform lifetime for classical solutions to the Hot, Magnetized, Relativistic Vlasov Maxwell system
Dayton Preissl, Christophe Cheverry and Slim Ibrahim
2021, 14(6) : 1035-1079 doi: 10.3934/krm.2021042 +[Abstract](189) +[HTML](83) +[PDF](542.25KB)
On time decay for the spherically symmetric Vlasov-Poisson system
Jack Schaeffer
2021doi: 10.3934/krm.2021021 +[Abstract](453) +[HTML](258) +[PDF](211.12KB)
A second look at the Kurth solution in galactic dynamics
Markus Kunze
2021doi: 10.3934/krm.2021028 +[Abstract](367) +[HTML](192) +[PDF](345.59KB)
Kinetic description of stable white dwarfs
Juhi Jang and Jinmyoung Seok
2021doi: 10.3934/krm.2021033 +[Abstract](200) +[HTML](97) +[PDF](343.61KB)
Glassey-Strauss representation of Vlasov-Maxwell systems in a Half Space
Yunbai Cao and Chanwoo Kim
2021doi: 10.3934/krm.2021034 +[Abstract](186) +[HTML](94) +[PDF](310.89KB)
Pointwise bounds for the Green's function for the Neumann-Laplace operator in $ \text{R}^3 $
David Hoff
2021doi: 10.3934/krm.2021037 +[Abstract](159) +[HTML](73) +[PDF](328.38KB)
Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D
Boyan Jonov, Paul Kessenich and Thomas C. Sideris
2021doi: 10.3934/krm.2021038 +[Abstract](223) +[HTML](88) +[PDF](374.26KB)
Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus
Jin Woo Jang, Robert M. Strain and Tak Kwong Wong
2021doi: 10.3934/krm.2021039 +[Abstract](255) +[HTML](77) +[PDF](660.7KB)
The Einstein-Vlasov system in maximal areal coordinates---Local existence and continuation
Sebastian Günther and Gerhard Rein
2021doi: 10.3934/krm.2021040 +[Abstract](275) +[HTML](71) +[PDF](561.59KB)
Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system
Mingying Zhong
2021doi: 10.3934/krm.2021041 +[Abstract](131) +[HTML](66) +[PDF](568.51KB)
A kinetic chemotaxis model with internal states and temporal sensing
Zhi-An Wang
2021doi: 10.3934/krm.2021043 +[Abstract](103) +[HTML](46) +[PDF](412.12KB)
A neural network closure for the Euler-Poisson system based on kinetic simulations
Léo Bois, Emmanuel Franck, Laurent Navoret and Vincent Vigon
2021doi: 10.3934/krm.2021044 +[Abstract](119) +[HTML](63) +[PDF](979.66KB)
A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles
Luís Simão Ferreira
2021doi: 10.3934/krm.2021045 +[Abstract](111) +[HTML](51) +[PDF](639.16KB)
Lagrangian dual framework for conservative neural network solutions of kinetic equations
Hyung Ju Hwang and Hwijae Son
2021doi: 10.3934/krm.2021046 +[Abstract](101) +[HTML](48) +[PDF](1774.74KB)
From kinetic to fluid models of liquid crystals by the moment method
Pierre Degond, Amic Frouvelle and Jian-Guo Liu
2022doi: 10.3934/krm.2021047 +[Abstract](79) +[HTML](24) +[PDF](631.8KB)
Linear instability of Vlasov-Maxwell systems revisited-A Hamiltonian approach
Zhiwu Lin
2022doi: 10.3934/krm.2021048 +[Abstract](64) +[HTML](24) +[PDF](382.6KB)
Sharp decay estimates for the Vlasov-Poisson and Vlasov-Yukawa systems with small data
Xianglong Duan
2022doi: 10.3934/krm.2021049 +[Abstract](10) +[HTML](6) +[PDF](447.36KB)
On spectral gaps of growth-fragmentation semigroups in higher moment spaces
Mustapha Mokhtar-Kharroubi and Jacek Banasiak
2022doi: 10.3934/krm.2021050 +[Abstract](13) +[HTML](9) +[PDF](472.47KB)
Large friction-high force fields limit for the nonlinear Vlasov–Poisson–Fokker–Planck system
José A. Carrillo, Young-Pil Choi and Yingping Peng
2022doi: 10.3934/krm.2021052 +[Abstract](18) +[HTML](9) +[PDF](442.0KB)
A toy model for the relativistic Vlasov-Maxwell system
Jonathan Ben-Artzi, Stephen Pankavich and Junyong Zhang
2022doi: 10.3934/krm.2021053 +[Abstract](11) +[HTML](10) +[PDF](308.59KB)
Phase mixing for solutions to 1D transport equation in a confining potential
Sanchit Chaturvedi and Jonathan Luk
2022doi: 10.3934/krm.2022002 +[Abstract](11) +[HTML](6) +[PDF](391.73KB)
Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition
Hongjie Dong, Yan Guo and Timur Yastrzhembskiy
2022doi: 10.3934/krm.2022003 +[Abstract](12) +[HTML](7) +[PDF](573.1KB)
The inviscid limit for the 2D Navier-Stokes equations in bounded domains
Claude W. Bardos, Trinh T. Nguyen, Toan T. Nguyen and Edriss S. Titi
2022doi: 10.3934/krm.2022004 +[Abstract](12) +[HTML](6) +[PDF](451.37KB)
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](5896) +[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](7980) +[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](6071) +[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](5308) +[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](4284) +[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](5256) +[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](3444) +[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](4133) +[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](4618) +[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](3668) +[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](5384) +[HTML](242) +[PDF](459.44KB) PDF Downloads(529)
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](5491) +[HTML](168) +[PDF](652.68KB) PDF Downloads(419)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](7331) +[HTML](489) +[PDF](273.0KB) PDF Downloads(390)
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](5693) +[HTML](219) +[PDF](532.38KB) PDF Downloads(375)
On a Fokker-Planck equation for wealth distribution
Marco Torregrossa and Giuseppe Toscani
2018, 11(2) : 337-355 doi: 10.3934/krm.2018016 +[Abstract](4966) +[HTML](323) +[PDF](477.51KB) PDF Downloads(364)
A kinetic theory description of liquid menisci at the microscale
Paolo Barbante, Aldo Frezzotti and Livio Gibelli
2015, 8(2) : 235-254 doi: 10.3934/krm.2015.8.235 +[Abstract](3715) +[PDF](2838.2KB) PDF Downloads(361)
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](7980) +[PDF](3152.1KB) PDF Downloads(360)
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](4114) +[HTML](100) +[PDF](1793.66KB) PDF Downloads(355)
Elastic limit and vanishing external force for granular systems
Fei Meng and Xiao-Ping Yang
2019, 12(1) : 159-176 doi: 10.3934/krm.2019007 +[Abstract](5182) +[HTML](254) +[PDF](378.73KB) PDF Downloads(343)
Well-posedness of Cauchy problem for Landau equation in critical Besov space
Hongmei Cao, Hao-Guang Li, Chao-Jiang Xu and Jiang Xu
2019, 12(4) : 829-884 doi: 10.3934/krm.2019032 +[Abstract](2947) +[HTML](149) +[PDF](569.2KB) PDF Downloads(334)

2020 Impact Factor: 1.432
5 Year Impact Factor: 1.641
2020 CiteScore: 3.1

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