1. Optimal regularity for kinetic Fokker-Planck equations in domains
   2025/05/17 by Xavier Ros‐Oton, Ros-Oton, Xavier, Marvin Weidner +1 · 3 citations
   Mathematics · #35B65 #35Q84 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
2. FourierSpecNet: Neural Collision Operator Approximation Inspired by the Fourier Spectral Method for Solving the Boltzmann Equation
   2025/04/29 by Lee, Jae Yong, Jung, Gwang Jae, Lim, Byung Chan +1 · 2 citations
   #35B40 #35Q20 #68T20 #82C40 #Artificial Intelligence (cs.AI) #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
3. A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system
   2025/04/07 by Alain Blaustein, Giacomo Dimarco, Blaustein, Alain +5 · 2 citations
   Economics, Econometrics and Finance · Mathematics · #35Q83 (Primary) 65N08 #65N35 (Secondary) #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions #Numerical Analysis (math.NA) #Stochastic processes and financial applications
4. On a class of nonlinear BGK-type kinetic equations with density dependent collision rates
   2025/03/18 by Evans, Josephine, Morris, Daniel, Yoldaş, Havva · 1 citation
   #35A01 #35B40 #35Q35 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics
5. Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-Order Discrepancies Between Probability Measures
   2025/02/21 by Brigati, Giovanni, Maas, Jan, Quattrocchi, Filippo · 1 citation
   #35Q83 #49Q22 (Primary) #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #Probability (math.PR)
6. Hypocoercivity for the non-linear semiconductor Boltzmann equation
   2024/11/17 by Marlies Pirner, Pirner, Marlies, Gayrat Toshpulatov +1 · 2 citations
   Engineering · Mathematics · Physics and Astronomy · #35B40 #35Q20 #35Q81 #35Q82 #82C40 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Thermoelastic and Magnetoelastic Phenomena
7. Heat kernel estimates for nonlocal kinetic operators
   2024/10/24 by Hou, Haojie, Zhang, Xicheng · 1 citation
   #35K08 #60H10 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
8. Global Mild Solutions to a BGK Model for Barotropic Gas Dynamics
   2024/09/06 by Koo, Dowan, Song, Sihyun · 1 citation
   #35F25 #76N15 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. The Harnack inequality fails for nonlocal kinetic equations
   2024/05/08 by Kassmann, Moritz, Weidner, Marvin · 1 citation
   #31B05 #35B65 #35H10 #35Q20 #35R09 #47G20 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
10. Relative entropy and modulated free energy without confinement via self-similar transformation
    2024/02/21 by Matthew Rosenzweig, Sylvia Serfaty, Rosenzweig, Matthew +1 · 2 citations
    Physics and Astronomy · #35Q70 #35Q82 #35Q92 #39B62 #82C22 #82C31 #82C40 #94A17 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Applications
11. Small inertia limit for coupled kinetic swarming models
    2024/02/05 by Young-Pil Choi, Simone Fagioli, Choi, Young-Pil +3 · 2 citations
    Mathematics · Physics and Astronomy · #35A01 #35A21 #35Q70 #82C40 #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth
12. Global smooth solutions to the Landau-Coulomb equation in L^3/2
    2024/01/13 by Golding, William, Gualdani, Maria, Loher, Amélie · 3 citations
    #35B33 #35B60 #35B65 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. The Derivation of the Boltzmann Equation from Quantum Many-body Dynamics
    2023/12/13 by Chen, Xuwen, Holmer, Justin · 2 citations
    #35C05 #35R25 #76P05 #81Q05 #81T27 #81V70 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 35Q20 #Secondary 35A01
14. Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with L^p initial datum
    2023/08/20 by Golding, William, Loher, Amélie · 2 citations
    #35B45 #35B60 #35B65 #35K55 #35K59 #82C40 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics
15. Integrability propagation for a Boltzmann system describing polyatomic gas mixtures
    2023/05/11 by Alonso, Ricardo, Pavić-Čolić, Milana · 1 citation
    #35Q20 #76P05 #82C40 #FOS: Physical sciences #Mathematical Physics (math-ph)
16. Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus
    2023/05/02 by Evans, Josephine, Menegaki, Angeliki · 1 citation
    #35A01 #35A02 #35B35 #35B40 #35Q20 #35Q49 #35Q79 #35Q82 #82C22 #82C35 #82C40 #82C70 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
17. \mathrm L² Hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states
    2023/04/24 by Bouin, Emeric, Dolbeault, Jean, Ziviani, Luca · 3 citations
    #35H10 #35K65 #35P15 #35Q84 #76P05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
18. Reproducing kernel Hilbert spaces in the mean field limit
    2023/02/28 by Christian Fiedler, Fiedler, Christian, Michaël Herty +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
19. Stability estimates for the Vlasov-Poisson system in p-kinetic Wasserstein distances
    2022/12/19 by Iacobelli, Mikaela, Junné, Jonathan · 2 citations
    #35B35 #35Q83 #82C40 #82D10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
20. Convergence of a particle method for a regularized spatially homogeneous Landau equation
    2022/11/13 by Carrillo, José A., Delgadino, Matias G., Wu, Jeremy S. H. · 2 citations
    #35Q49 #35Q92 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
21. Quantitative Geometric Control in Linear Kinetic Theory
    2022/09/19 by Dietert, Helge, Hérau, Frédéric, Hutridurga, Harsha +1 · 1 citation
    #35B40 #76P05 #82C40 #82C70 (Primary) 93C20 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics
22. Propagation of velocity moments and uniqueness for the magnetized Vlasov-Poisson system
    2022/09/07 by Alexandre Rege, Rege, Alexandre · 1 citation
    Mathematics · Physics and Astronomy · #35A02 #76X05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Optical properties and cooling technologies in crystalline materials #Spectral Theory in Mathematical Physics
23. Diffusion Limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system
    2022/08/07 by Zhong, Mingying · 1 citation
    #76P05 #82C40 #82D05 #Analysis of PDEs (math.AP) #FOS: Mathematics
24. On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature
    2022/01/18 by Escobedo, Miguel · 1 citation
    #45A05 #45K05 #45M05 #82C05 #82C22 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
25. On the linearized system of equations for the condensate-normal fluid interaction at very low temperature
    2021/12/27 by Miguel Escobedo, Escobedo, Miguel · 2 citations
    Mathematics · Physics and Astronomy · #45A05 #45K05 #45M05 #82C05 #82C22 #82C40 #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics
26. Maximum entropy principle approach to a non-isothermal Maxwell-Stefan diffusion model
    2021/10/21 by Anwasia, Benjamin, Simić, Srboljub · 1 citation
    #35Q20 #76R50 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)
27. Special macroscopic modes and hypocoercivity
    2021/05/11 by Carrapatoso, Kleber, Dolbeault, Jean, Hérau, Frédéric +3 · 1 citation
    #35Q83 #76P05 #82C40 #82C70 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
28. Asymptotic Stability of the Relativistic Boltzmann Equation without Angular Cut-off
    2021/03/29 by Jin Woo Jang, Robert M. Strain, Jang, Jin Woo +1 · 1 citation
    Mathematics · #26A33 #35B65 #35Q20 #35R11 #76P05 #82C40 #83A05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
29. The Vlasov-Poisson system with a uniform magnetic field: propagation of moments and regularity
    2020/11/30 by Rege, Alexandre · 1 citation
    #35A02 #76X05 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics
30. A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium
    2019/11/26 by Ayi, Nathalie, Herda, Maxime, Hivert, Hélène +1 · 1 citation
    #35K65 #35Q84 #60G22 #82C40 #Analysis of PDEs (math.AP) #FOS: Mathematics

more