Alain Blaustein

12
Documents

Publications

Publications

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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
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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
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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-04140240v3
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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
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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
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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
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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
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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