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1. Existence, uniqueness and smoothing estimates for spatially homogeneous Landau-Coulomb equation in H^-\f12 space with polynomial tail
   2024/12/10 by He, Ling-Bing, Ji, Jie, Luo, Yue · 1 citation
   #35B65 #35H20 #82B40 #Analysis of PDEs (math.AP) #FOS: Mathematics
2. The Boltzmann equation for a multi-species inelastic mixture
   2024/10/22 by Thomas Rey, Tommaso Tenna, Rey, Thomas +1 · 2 citations
   Mathematics · Physics and Astronomy · #76P05 #76T25 #82B40 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Statistical Mechanics and Entropy
3. Kinetic models for optimization: a unified mathematical framework for metaheuristics
   2024/10/14 by Borghi, Giacomo, Herty, Michael, Pareschi, Lorenzo · 1 citation
   #65C05 #65K10 #82B40 #82C31 #90C26 #FOS: Mathematics #Optimization and Control (math.OC)
4. Reproducing kernel Hilbert spaces in the mean field limit
   2023/02/28 by Christian Fiedler, Michaël Herty, Fiedler, Christian +7 · 1 citation
   Computer Science · Environmental Science · Physics and Astronomy · #46E22 #74A25 #82B40 #82C40 #FOS: Computer and information sciences #FOS: Mathematics #Functional Analysis (math.FA) #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Soil Geostatistics and Mapping
5. Explicit decay rate for the Gini index in the repeated averaging model
   2021/08/17 by Cao, Fei · 3 citations
   #35Q91 #82B31 #82B40 #FOS: Mathematics #Probability (math.PR)
6. On a structure-preserving numerical method for fractional Fokker-Planck\n equations
   2021/07/28 by Nathalie Ayi, Ayi, Nathalie, Maxime Herda +5 · 2 citations
   Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #35R11 #65M06 #65M12 #82B40 #FOS: Mathematics #Fractional Differential Equations Solutions #High-Energy Particle Collisions Research #Numerical Analysis (math.NA) #Stochastic processes and financial applications
7. A particle method for the homogeneous Landau equation
   2019/10/07 by José A. Carrillo, Jingwei Hu, Carrillo, Jose A. +5 · 6 citations
   Mathematics · Physics and Astronomy · #65M75 #82B40 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Quantum chaos and dynamical systems
8. A two stage fourth-order gas-kinetic scheme on unstructured hybrid mesh
   2017/11/21 by Dongxin Pan, Pan, Dongxin, Chengwen Zhong +3 · 1 citation
   Engineering · Mathematics · #65M08 #76N15 #82B40 #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
9. Regularized lattice Boltzmann Multicomponent models for low Capillary\n and Reynolds microfluidics flows
   2017/11/06 by Andrea Montessori, Montessori, Andrea, Marco Lauricella +11 · 1 citation
   Engineering · #76T10 #82B40 #Aerosol Filtration and Electrostatic Precipitation #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies
10. An efficient numerical method for solving the Boltzmann equation in multidimensions
    2016/08/29 by Dimarco, Giacomo, Loubère, Raphaël, Narski, Jacek +1 · 2 citations
    #65M08 #65M70 #65Y05 #65Y20 #76P05 #82B40 #FOS: Mathematics #Numerical Analysis (math.NA)
11. DSMC-LBM mapping scheme for rarefied and non-rarefied gas flows
    2015/12/25 by Gianluca Di Staso, Di Staso, G., H. J. H. Clercx +5 · 1 citation
    Engineering · Mathematics · #76P05 #82B40 #82B80 #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Lattice Boltzmann Simulation Studies
12. Spectral and phase space analysis of the linearized non-cutoff Kac collision operator
    2011/11/02 by Lerner, Nicolas, Morimoto, Yoshinori, Pravda-Starov, Karel +1 · 1 citation
    #35Q20 #35R11 #35S05 #76P05 #82B40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
13. Hypocoercivity of Linear Degenerately Dissipative Kinetic Equations
    2009/12/09 by Renjun Duan, Duan, Renjun · 4 citations
    Mathematics · Physics and Astronomy · #35B40 #82B40 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems