Alain Blaustein

Publications

Pré-publication, Document de travail (5)

Discrete hypocoercive estimates for discontinuous Galerkin methods: application to the Vlasov-Poisson-Fokker-Planck system Yi Cai,Alain Blaustein,Tao Xiong,Francis Filbet 2026 Pré-publication, Document de travail hal-05566608v1
Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers Dilara Abdel,Alain Blaustein,Claire Chainais-Hillairet,Maxime Herda,Julien Moatti 2025 Pré-publication, Document de travail hal-05387877v1
A structure and asymptotic preserving scheme for the quasineutral limit of the Vlasov-Poisson system Alain Blaustein,Giacomo Dimarco,Francis Filbet,Marie-Hélène Vignal 2025 Pré-publication, Document de travail hal-05022776v1
Longtime and chaotic dynamics in microscopic systems with singular interactions Alexis Béjar-López,Alain Blaustein,Pierre-Emmanuel Jabin,Juan Soler 2024 Pré-publication, Document de travail hal-05373182v1
Structure preserving solver for Multi-dimensional Vlasov-Poisson type equations Alain Blaustein 2024 Pré-publication, Document de travail hal-04440391v1

Article dans une revue (7)

Derivation of the bacterial run-and-tumble kinetic model : quantitative and strong convergence results Alain Blaustein Studies in Applied Mathematics, 2025, Volume154 (Issue5), ⟨10.1111/sapm.70060⟩ Article dans une revue hal-04336656v2
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model Alain Blaustein,Francis Filbet Journal of Computational Physics, 2024, 498, pp.112693. ⟨10.1016/j.jcp.2023.112693⟩ Article dans une revue hal-04140240v5
Concentration profiles in Fitzhugh-Nagumo neural networks: A Hopf-Cole approach Alain Blaustein,Emeric Bouin Discrete and Continuous Dynamical Systems - Series B, 2024, 29 (4), pp.2018-2042. ⟨10.3934/dcdsb.2023165⟩ Article dans une revue hal-04407014v1
On a discrete framework of hypocoercivity for kinetic equations Alain Blaustein,Francis Filbet Mathematics of Computation, 2023, 93 (345), pp.163-202. ⟨10.1090/mcom/3862⟩ Article dans une revue hal-03792511v2
Large coupling in a FitzHugh-Nagumo neural network: quantitative and strong convergence results Alain Blaustein Journal of Differential Equations, 2023, 374, pp.218-266. ⟨10.1016/j.jde.2023.07.021⟩ Article dans une revue hal-03619446v4
CONCENTRATION PHENOMENA IN FITZHUGH-NAGUMO'S EQUATIONS: A MESOSCOPIC APPROACH Alain Blaustein,Francis Filbet SIAM Journal on Mathematical Analysis, 2023, 55 (1), pp.367-404. ⟨10.1137/22M1469961⟩ Article dans une revue hal-03515748v4
Diffusive limit of the Vlasov-Poisson-Fokker-Planck model: quantitative and strong convergence results Alain Blaustein SIAM Journal on Mathematical Analysis, 2023, 55 (5), pp.5464-5482. ⟨10.1137/22M1530197⟩ Article dans une revue hal-03820110v3

Thèse (1)

Étude numérique et analytique de modèles issus des neurosciences et de la physique Alain Blaustein Equations aux dérivées partielles [math.AP]. Université Paul Sabatier - Toulouse III, 2023. Français. ⟨NNT : 2023TOU30094⟩ Thèse tel-04225846v1