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 1937-5093

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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, 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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Kinetic modelling of colonies of myxobacteria
Sabine Hittmeir, Laura Kanzler, Angelika Manhart and Christian Schmeiser
2021, 14(1) : 1-24 doi: 10.3934/krm.2020046 +[Abstract](478) +[HTML](147) +[PDF](1569.69KB)
BGK model of the multi-species Uehling-Uhlenbeck equation
Gi-Chan Bae, Christian Klingenberg, Marlies Pirner and Seok-Bae Yun
2021, 14(1) : 25-44 doi: 10.3934/krm.2020047 +[Abstract](450) +[HTML](159) +[PDF](356.64KB)
Opinion formation systems via deterministic particles approximation
Simone Fagioli and Emanuela Radici
2021, 14(1) : 45-76 doi: 10.3934/krm.2020048 +[Abstract](403) +[HTML](141) +[PDF](3930.95KB)
On two properties of the Fisher information
Nicolas Rougerie
2021, 14(1) : 77-88 doi: 10.3934/krm.2020049 +[Abstract](312) +[HTML](95) +[PDF](330.03KB)
Superposition principle and schemes for measure differential equations
Fabio Camilli, Giulia Cavagnari, Raul De Maio and Benedetto Piccoli
2021, 14(1) : 89-113 doi: 10.3934/krm.2020050 +[Abstract](388) +[HTML](94) +[PDF](557.51KB)
Evolutionary game theory in mixed strategies: From microscopic interactions to kinetic equations
Juan Pablo Pinasco, Mauro Rodriguez Cartabia and Nicolas Saintier
2021, 14(1) : 115-148 doi: 10.3934/krm.2020051 +[Abstract](339) +[HTML](91) +[PDF](804.22KB)
Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem
Mehdi Badsi
2021, 14(1) : 149-174 doi: 10.3934/krm.2020052 +[Abstract](402) +[HTML](113) +[PDF](429.9KB)
Navier-Stokes limit of globally hyperbolic moment equations
Zhiting Ma
2021, 14(1) : 175-197 doi: 10.3934/krm.2021001 +[Abstract](286) +[HTML](43) +[PDF](365.26KB)
Captivity of the solution to the granular media equation
Julian Tugaut
2020doi: 10.3934/krm.2021002 +[Abstract](213) +[HTML](92) +[PDF](287.89KB)
Diffusion limit of the Vlasov-Poisson-Boltzmann system
Hai-Liang Li, Tong Yang and Mingying Zhong
2020doi: 10.3934/krm.2021003 +[Abstract](197) +[HTML](94) +[PDF](483.16KB)
A general way to confined stationary Vlasov-Poisson plasma configurations
Yulia O. Belyaeva, Björn Gebhard and Alexander L. Skubachevskii
2020doi: 10.3934/krm.2021004 +[Abstract](199) +[HTML](84) +[PDF](450.65KB)
Mathematical modelling of collagen fibres rearrangement during the tendon healing process
José Antonio Carrillo, Martin Parisot and Zuzanna Szymańska
2021doi: 10.3934/krm.2021005 +[Abstract](126) +[HTML](52) +[PDF](9775.89KB)
Shadow Lagrangian dynamics for superfluidity
Patrick Henning and Anders M. N. Niklasson
2021doi: 10.3934/krm.2021006 +[Abstract](101) +[HTML](51) +[PDF](2393.98KB)
Emergent dynamics of a thermodynamic Cucker-Smale ensemble on complete Riemannian manifolds
Hyunjin Ahn, Seung-Yeal Ha and Woojoo Shim
2021doi: 10.3934/krm.2021007 +[Abstract](142) +[HTML](50) +[PDF](974.01KB)
Projective integration schemes for hyperbolic moment equations
Julian Koellermeier and Giovanni Samaey
2021doi: 10.3934/krm.2021008 +[Abstract](127) +[HTML](56) +[PDF](3476.19KB)
Mass-conserving weak solutions to the coagulation and collisional breakage equation with singular rates
Prasanta Kumar Barik, Ankik Kumar Giri and Rajesh Kumar
2021doi: 10.3934/krm.2021009 +[Abstract](25) +[HTML](6) +[PDF](321.46KB)
Mathematical modelling of charge transport in graphene heterojunctions
Luigi Barletti, Giovanni Nastasi, Claudia Negulescu and Vittorio Romano
2021doi: 10.3934/krm.2021010 +[Abstract](33) +[HTML](12) +[PDF](675.96KB)
A mean-field limit of the particle swarmalator model
Seung-Yeal Ha, Jinwook Jung, Jeongho Kim, Jinyeong Park and Xiongtao Zhang
2021doi: 10.3934/krm.2021011 +[Abstract](20) +[HTML](9) +[PDF](526.05KB)
On group symmetries of the hydrodynamic equations for rarefied gas
Alexander V. Bobylev and Sergey V. Meleshko
2021doi: 10.3934/krm.2021012 +[Abstract](75) +[HTML](38) +[PDF](385.7KB)
Polytropic gas modelling at kinetic and macroscopic levels
Vladimir Djordjić, Milana Pavić-Čolić and Nikola Spasojević
2021doi: 10.3934/krm.2021013 +[Abstract](64) +[HTML](43) +[PDF](1023.93KB)
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](4789) +[PDF](271.2KB) Cited By(232)
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](5954) +[PDF](3152.1KB) Cited By(188)
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](4814) +[PDF](299.0KB) Cited By(141)
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](4063) +[PDF](409.3KB) Cited By(103)
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](3285) +[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](4130) +[PDF](1412.8KB) Cited By(57)
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](2718) +[PDF](329.0KB) Cited By(52)
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](3296) +[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](3556) +[PDF](584.8KB) Cited By(42)
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](2816) +[PDF](2838.2KB) Cited By(36)
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](4450) +[HTML](230) +[PDF](459.44KB) PDF Downloads(299)
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](4701) +[HTML](164) +[PDF](652.68KB) PDF Downloads(278)
Letter to the editors in chief
Tai-Ping Liu and Shih-Hsien Yu
2018, 11(1) : 215-217 doi: 10.3934/krm.2018011 +[Abstract](6254) +[HTML](464) +[PDF](273.0KB) PDF Downloads(248)
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](4481) +[HTML](250) +[PDF](378.73KB) PDF Downloads(224)
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](3320) +[HTML](94) +[PDF](1793.66KB) PDF Downloads(213)
On a Fokker-Planck equation for wealth distribution
Marco Torregrossa and Giuseppe Toscani
2018, 11(2) : 337-355 doi: 10.3934/krm.2018016 +[Abstract](4076) +[HTML](317) +[PDF](477.51KB) PDF Downloads(211)
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](5288) +[HTML](1416) +[PDF](2466.17KB) PDF Downloads(210)
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](2088) +[HTML](142) +[PDF](569.2KB) PDF Downloads(204)
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](5246) +[HTML](303) +[PDF](487.82KB) PDF Downloads(202)
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](5954) +[PDF](3152.1KB) PDF Downloads(200)

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