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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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Kinetic formulation of a 2 × 2 hyperbolic system arising in gas chromatography
Christian Bourdarias, Marguerite Gisclon and Stéphane Junca
2020, 13(5) : 869-888 doi: 10.3934/krm.2020030 +[Abstract](56) +[HTML](15) +[PDF](793.17KB)
Quantitative Local Sensitivity estimates for the random kinetic Cucker-Smale Model with Chemotactic Movement
Seung-Yeal Ha and Bora Moon
2020, 13(5) : 889-931 doi: 10.3934/krm.2020031 +[Abstract](52) +[HTML](23) +[PDF](641.28KB)
On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady states
Gerhard Rein and Christopher Straub
2020, 13(5) : 933-949 doi: 10.3934/krm.2020032 +[Abstract](42) +[HTML](14) +[PDF](404.21KB)
Analytic smoothing effect for the nonlinear Landau equation of Maxwellian molecules
Yoshinori Morimoto and Chao-Jiang Xu
2020, 13(5) : 951-978 doi: 10.3934/krm.2020033 +[Abstract](41) +[HTML](16) +[PDF](503.07KB)
On the generic complete synchronization of the discrete Kuramoto model
Woojoo Shim
2020, 13(5) : 979-1005 doi: 10.3934/krm.2020034 +[Abstract](43) +[HTML](18) +[PDF](527.05KB)
Stability of a non-local kinetic model for cell migration with density dependent orientation bias
Nadia Loy and Luigi Preziosi
2020, 13(5) : 1007-1027 doi: 10.3934/krm.2020035 +[Abstract](48) +[HTML](20) +[PDF](1760.4KB)
Gelfand-Shilov smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
Wei-Xi Li and Lvqiao Liu
2020, 13(5) : 1029-1046 doi: 10.3934/krm.2020036 +[Abstract](51) +[HTML](18) +[PDF](489.1KB)
Weak dissipative solutions to a free-boundary problem for finitely extensible bead-spring chain molecules: Variable viscosity coefficients
Donatella Donatelli, Tessa Thorsen and Konstantina Trivisa
2020, 13(5) : 1047-1070 doi: 10.3934/krm.2020037 +[Abstract](46) +[HTML](20) +[PDF](483.75KB)
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](4144) +[PDF](271.2KB) Cited By(216)
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](4714) +[PDF](3152.1KB) Cited By(172)
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](4117) +[PDF](299.0KB) Cited By(138)
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](3550) +[PDF](409.3KB) Cited By(95)
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](2815) +[PDF](702.8KB) Cited By(65)
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](3558) +[PDF](1412.8KB) Cited By(55)
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](2330) +[PDF](329.0KB) Cited By(50)
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](2890) +[PDF](584.8KB) 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](2850) +[PDF](247.8KB) Cited By(36)
An asymptotic preserving scheme based on a micro-macro decomposition for Collisional Vlasov equations: diffusion and high-field scaling limits
Nicolas Crouseilles and Mohammed Lemou
2011, 4(2) : 441-477 doi: 10.3934/krm.2011.4.441 +[Abstract](2218) +[PDF](756.6KB) Cited By(35)
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](4009) +[HTML](160) +[PDF](652.68KB) PDF Downloads(209)
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](3938) +[HTML](223) +[PDF](459.44KB) PDF Downloads(187)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](5314) +[HTML](445) +[PDF](273.0KB) PDF Downloads(170)
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](4491) +[HTML](285) +[PDF](487.82KB) PDF Downloads(169)
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](3772) +[HTML](265) +[PDF](491.35KB) PDF Downloads(161)
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](4298) +[HTML](1184) +[PDF](2466.17KB) PDF Downloads(160)
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](3787) +[HTML](245) +[PDF](378.73KB) PDF Downloads(159)
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](3893) +[HTML](304) +[PDF](1843.94KB) PDF Downloads(147)
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](1620) +[HTML](137) +[PDF](569.2KB) PDF Downloads(144)
Numerical solutions for multidimensional fragmentation problems using finite volume methods
Jitraj Saha, Nilima Das, Jitendra Kumar and Andreas Bück
2019, 12(1) : 79-103 doi: 10.3934/krm.2019004 +[Abstract](4774) +[HTML](211) +[PDF](531.16KB) PDF Downloads(143)

2019  Impact Factor: 1.311

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