Kinetic and Related Models

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Top Articles

#	Title	Journal	Year	Citations
1	From particle to kinetic and hydrodynamic descriptions of flocking	Kinetic and Related Models	2008	397
2	Mathematical theory and numerical methods for Bose-Einstein condensation	Kinetic and Related Models	2013	337
3	Double milling in self-propelled swarms from kinetic theory	Kinetic and Related Models	2009	183
4	Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system	Kinetic and Related Models	2011	173
5	On the dynamics of social conflicts: Looking for the black swan	Kinetic and Related Models	2013	90
6	On a chemotaxis model with saturated chemotactic flux	Kinetic and Related Models	2012	84
7	A review of the mean field limits for Vlasov equations	Kinetic and Related Models	2014	76
8	On the interplay between behavioral dynamics and social interactions in human crowds	Kinetic and Related Models	2019	75
9	Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system	Kinetic and Related Models	2011	71
10	Cucker-Smale model with normalized communication weights and time delay	Kinetic and Related Models	2017	71
11	Towards a mathematical theory of complex socio-economical systems by functional subsystems representation	Kinetic and Related Models	2008	66
12	Fluid dynamic limit to the Riemann Solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity	Kinetic and Related Models	2010	59
13	The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients	Kinetic and Related Models	2008	58
14	An asymptotic preserving scheme based on a micro-macro decomposition for Collisional Vlasov equations: diffusion and high-field scaling limits	Kinetic and Related Models	2011	54
15	A kinetic theory description of liquid menisci at the microscale	Kinetic and Related Models	2015	51
16	Entropy and chaos in the Kac model	Kinetic and Related Models	2010	50
17	Continuous limit of a crowd motion and herding model: Analysis and numerical simulations	Kinetic and Related Models	2011	50
18	Regularity of solutions for spatially homogeneous Boltzmann equation without angular cutoff	Kinetic and Related Models	2008	48
19	Coordinates in the relativistic Boltzmann theory	Kinetic and Related Models	2011	48
20	Opinion dynamics over complex networks: Kinetic modelling and numerical methods	Kinetic and Related Models	2017	47
21	Kinetic limits for waves in a random medium	Kinetic and Related Models	2010	46
22	Optimal time decay of the non cut-off Boltzmann equation in the whole space	Kinetic and Related Models	2012	46
23	Vision-based macroscopic pedestrian models	Kinetic and Related Models	2013	46
24	Regularity criteria for the 3D MHD equations via partial derivatives. II	Kinetic and Related Models	2014	45
25	Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force	Kinetic and Related Models	2013	44
26	Uniform stability of the Cucker-Smale model and its application to the Mean-Field limit	Kinetic and Related Models	2018	43
27	Kinetic/fluid micro-macro numerical schemes for Vlasov-Poisson-BGK equation using particles	Kinetic and Related Models	2012	42
28	Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials	Kinetic and Related Models	2013	42
29	Dynamical pressure in a polyatomic gas: Interplay between kinetic theory and extended thermodynamics	Kinetic and Related Models	2018	42
30	A mixed finite element method for nonlinear diffusion equations	Kinetic and Related Models	2010	41
31	Regularity criteria for the 3D MHD equations via partial derivatives	Kinetic and Related Models	2012	41
32	A kinetic theory approach to model pedestrian dynamics in bounded domains with obstacles	Kinetic and Related Models	2019	41
33	Discontinuous Galerkin methods for the one-dimensional Vlasov-Poisson system	Kinetic and Related Models	2011	40
34	A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods	Kinetic and Related Models	2014	39
35	A consistent kinetic model for a two-component mixture with an application to plasma	Kinetic and Related Models	2017	39
36	Diffusion asymptotics of a kinetic model for gaseous mixtures	Kinetic and Related Models	2013	37
37	Semilagrangian schemes applied to moving boundary problems for the BGK model of rarefied gas dynamics	Kinetic and Related Models	2009	36
38	A Boltzmann-like equation for choice formation	Kinetic and Related Models	2009	35
39	Decay property for a plate equation with memory-type dissipation	Kinetic and Related Models	2011	34
40	A general consistent BGK model for gas mixtures	Kinetic and Related Models	2018	34
41	A review of Boltzmann equation with singular kernels	Kinetic and Related Models	2009	33
42	Fokker-Planck asymptotics for traffic flow models	Kinetic and Related Models	2010	32
43	Local Hilbert expansion for the Boltzmann equation	Kinetic and Related Models	2009	31
44	Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates	Kinetic and Related Models	2013	31
45	On hyperbolicity of 13-moment system	Kinetic and Related Models	2014	31
46	Modelling and simulation of vehicular traffic jam formation	Kinetic and Related Models	2008	30
47	An accurate and efficient discrete formulation of aggregation population balance equation	Kinetic and Related Models	2016	30
48	Global existence and steady states of a two competing species Keller--Segel chemotaxis model	Kinetic and Related Models	2015	29
49	Regularity criteria for the magnetohydrodynamic equations with partial viscous terms and the Leray-$\alpha$-MHD model	Kinetic and Related Models	2009	29
50	Asymptotic stability of stationary solutions to the Euler-Poisson equations arising in plasma physics	Kinetic and Related Models	2011	29

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