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 1937-5093

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Volume 13, 2020

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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.


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High order approximation for the Boltzmann equation without angular cutoff under moderately soft potentials
Zheng-an Yao and Yu-Long Zhou
2020, 13(3) : 435-478 doi: 10.3934/krm.2020015 +[Abstract](64) +[HTML](41) +[PDF](540.44KB)
A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators
Pierre Patie and Aditya Vaidyanathan
2020, 13(3) : 479-506 doi: 10.3934/krm.2020016 +[Abstract](65) +[HTML](30) +[PDF](661.85KB)
Numerical study of Bose–Einstein condensation in the Kaniadakis–Quarati model for bosons
José A. Carrillo, Katharina Hopf and Marie-Therese Wolfram
2020, 13(3) : 507-529 doi: 10.3934/krm.2020017 +[Abstract](62) +[HTML](41) +[PDF](1999.05KB)
Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions
Mihaï Bostan
2020, 13(3) : 531-548 doi: 10.3934/krm.2020018 +[Abstract](62) +[HTML](37) +[PDF](399.77KB)
Cercignani-Lampis boundary in the Boltzmann theory
Hongxu Chen
2020, 13(3) : 549-597 doi: 10.3934/krm.2020019 +[Abstract](72) +[HTML](28) +[PDF](845.96KB)
The Vlasov-Maxwell-Boltzmann system near Maxwellians with strong background magnetic field
Yuanjie Lei and Huijiang Zhao
2020, 13(3) : 599-621 doi: 10.3934/krm.2020020 +[Abstract](61) +[HTML](29) +[PDF](452.52KB)
Solvability and blow-up criterion of the thermomechanical Cucker-Smale-Navier-Stokes equations in the whole domain
Jeongho Kim and Weiyuan Zou
2020, 13(3) : 623-651 doi: 10.3934/krm.2020021 +[Abstract](67) +[HTML](39) +[PDF](482.48KB)
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](3700) +[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](4074) +[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](3626) +[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](3157) +[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](2483) +[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](2060) +[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](2581) +[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](3172) +[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](2777) +[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](2687) +[PDF](606.8KB) Cited By(28)
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](3189) +[HTML](122) +[PDF](652.68KB) PDF Downloads(165)
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](3653) +[HTML](244) +[PDF](487.82KB) PDF Downloads(153)
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](3621) +[HTML](171) +[PDF](459.44KB) PDF Downloads(146)
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](3347) +[HTML](1020) +[PDF](2466.17KB) PDF Downloads(138)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](4358) +[HTML](380) +[PDF](273.0KB) PDF Downloads(136)
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](3008) +[HTML](230) +[PDF](491.35KB) PDF Downloads(134)
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](3104) +[HTML](266) +[PDF](1843.94KB) PDF Downloads(129)
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](3009) +[HTML](212) +[PDF](378.73KB) PDF Downloads(124)
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](3218) +[HTML](255) +[PDF](632.1KB) PDF Downloads(121)
An asymptotic preserving scheme for kinetic chemotaxis models in two space dimensions
Alina Chertock, Alexander Kurganov, Mária Lukáčová-Medvi${\rm{\check{d}}}$ová and Șeyma Nur Özcan
2019, 12(1) : 195-216 doi: 10.3934/krm.2019009 +[Abstract](3160) +[HTML](245) +[PDF](2327.4KB) PDF Downloads(114)

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