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 1937-5093

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Volume 13, 2020

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Volume 3, 2010

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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On the Cucker-Smale ensemble with $ q $-closest neighbors under time-delayed communications
Jiu-Gang Dong, Seung-Yeal Ha and Doheon Kim
2020, 13(4) : 653-676 doi: 10.3934/krm.2020022 +[Abstract](123) +[HTML](42) +[PDF](690.39KB)
A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions
Jingwei Hu, Jie Shen and Yingwei Wang
2020, 13(4) : 677-702 doi: 10.3934/krm.2020023 +[Abstract](117) +[HTML](39) +[PDF](1417.29KB)
Strong solutions for the Alber equation and stability of unidirectional wave spectra
Agissilaos G. Athanassoulis, Gerassimos A. Athanassoulis, Mariya Ptashnyk and Themistoklis Sapsis
2020, 13(4) : 703-737 doi: 10.3934/krm.2020024 +[Abstract](112) +[HTML](45) +[PDF](2380.06KB)
Angular moments models for rarefied gas dynamics. Numerical comparisons with kinetic and Navier-Stokes equations
Sébastien Guisset
2020, 13(4) : 739-758 doi: 10.3934/krm.2020025 +[Abstract](130) +[HTML](48) +[PDF](1006.78KB)
Slow flocking dynamics of the Cucker-Smale ensemble with a chemotactic movement in a temperature field
Seung-Yeal Ha, Doheon Kim and Weiyuan Zou
2020, 13(4) : 759-793 doi: 10.3934/krm.2020026 +[Abstract](107) +[HTML](42) +[PDF](527.89KB)
Asymptotic flocking in the Cucker-Smale model with reaction-type delays in the non-oscillatory regime
Jan Haskovec and Ioannis Markou
2020, 13(4) : 795-813 doi: 10.3934/krm.2020027 +[Abstract](92) +[HTML](41) +[PDF](436.79KB)
Well-posedness for boundary value problems for coagulation-fragmentation equations
Iñigo U. Erneta
2020, 13(4) : 815-835 doi: 10.3934/krm.2020028 +[Abstract](145) +[HTML](56) +[PDF](436.08KB)
Local well-posedness of the Boltzmann equation with polynomially decaying initial data
Christopher Henderson, Stanley Snelson and Andrei Tarfulea
2020, 13(4) : 837-867 doi: 10.3934/krm.2020029 +[Abstract](129) +[HTML](51) +[PDF](575.08KB)
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](3878) +[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](4303) +[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](3821) +[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](3317) +[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](2625) +[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](2171) +[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](2689) +[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](3316) +[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](2912) +[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](2838) +[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](3388) +[HTML](160) +[PDF](652.68KB) PDF Downloads(181)
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](3869) +[HTML](280) +[PDF](487.82KB) PDF Downloads(158)
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](3720) +[HTML](221) +[PDF](459.44KB) PDF Downloads(157)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](4626) +[HTML](438) +[PDF](273.0KB) PDF Downloads(154)
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](3593) +[HTML](1085) +[PDF](2466.17KB) PDF Downloads(150)
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](3195) +[HTML](265) +[PDF](491.35KB) PDF Downloads(145)
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](3190) +[HTML](245) +[PDF](378.73KB) PDF Downloads(138)
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](3310) +[HTML](302) +[PDF](1843.94KB) PDF Downloads(136)
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](4069) +[HTML](207) +[PDF](531.16KB) PDF Downloads(135)
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](3311) +[HTML](292) +[PDF](632.1KB) PDF Downloads(126)

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