Pierre Gervais

Publications et prépublications

• Hypoellipticity and averaging lemmas with a confining potential

  Prépublié.  (HAL-04823671)
• Well-posedness and long-time behavior for self-consistent Vlasov-Fokker-Planck equations with general potentials (avec Maxime Herda)

  Prépublié.  (ArXiv:2408.16468)
• Conditional integrability and stability for the homogeneous Boltzmann equation with very soft potentials (avec Ricardo Alonso et Bertrand Lods)

  Accepté. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze.  (ArXiv:2403.15613)
• Hydrodynamic limits for conservative kinetic equations: a spectral and unified approach in the presence of a spectral gap (avec Bertrand Lods)

  Publié. Annales Henri Lebesgue 7 (2024),  p. 968-1098.  (ArXiv:2304.11698)
• Non-cutoff Boltzmann equation with soft potentials in the whole space (avec Kleber Carrapatoso)

  Publié. Pure and Applied Analysis 1 (2024), n° 6,  p. 253-303.  (ArXiv:2212.04315)
• On the convergence from Boltzmann to Navier-Stokes-Fourier for general initial data

  Publié. SIAM Journal on Mathematical Analysis 55 (2023), n° 2,  p. 805-848.  (ArXiv:2201.02825)
• Spectral study of the linearized Boltzmann operator in \(L^2\) spaces with polynomial and Gaussian weights

  Publié. Kinetic & Related Models 14 (2021), n° 4,  p. 725-747.  (HAL-02962516)

Communications orales

• 08/01/25 — Journées jeunes EDPistes de France (Nice) : Stability of equilibria for the Vlasov-Fokker-Planck with general potentials (slides).
• 03/12/24 — Séminaire d'EDP de l'Université Libre de Bruxelles : Vlasov-Fokker-Planck with general potentials (slides).
• 10/10/24 — Modeling, theory and numerics for PDEs (kinetic and hyperbolic systems : Hydrodynamic limit of elastic kinetic equations by a spectral approach (slides).
• 24/06/24 — France-Korea webinar : Hydrodynamic limit of elastic kinetic equations by a spectral approach (slides).
• 20/06/24 — Kinetic equation, Mathematical Physics and Probability (BCAM) : Hydrodynamic limit of elastic kinetic equations by a spectral approach (slides).
• 28/03/24 — Séminaire EDP de l'IRMAR (Université de Rennes) : Hydrodynamic limit of elastic kinetic equations by a spectral approach.
• 19/03/24 — Séminaire des post.doctorants (Université de Lille) : Hydrodynamic limit of elastic kinetic equations by a spectral approach.
• 16/10/23 — Séminaire d'équipe ANEDP (Université de Lille) : Navier-Stokes limit of conservative bilinear kinetic equations (slides).
• 06/06/23 — Asymptotic Behaviors of systems of PDEs arising in physics and biology 5 : Navier-Stokes limit of conservative bilinear kinetic equations (slides).
• 27/10/22 — Quantitative Analysis of Metastable Processes : On the Boltzmann equation with long range interactions (slides).
• 20/5/22 — Bourbakettes : Introduction à la théorie spectrale (slides).
• 11/1/22 — Applied Analysis Seminar : Hydrodynamic modes and limits of the Boltzmann equation in large functional spaces (slides).
• 9/12/21 — Séminaire des thésards de l'IMJ-PRG : From Boltzmann to incompressible Navier-Stokes (slides).
• 18/11/21 — Asymptotic Behaviors of systems of PDEs arising in physics and biology 4 : From Boltzmann to Navier-Stokes with initial data with polynomial decay (slides).
• 28/10/21 — Congrès des Jeunes Chercheurs en Mathématiques Appliquées : Problèmes de limites hydrodynamiques (slides).
• 22/10/21 — Workshop : Modèles et méthodes pour les équations cinétiques : From Boltzmann to Navier-Stokes with initial data with polynomial decay (slides).
• 14/10/21 — ANR Entropie, Flots et Inégalités (EFI) : From Boltzmann to Navier-Stokes with general initial data (slides).
• 8/10/21 — Bourbakette : Problèmes de limites hydrodynamiques (slides).
• 6/10/21 — Rentrée du DMA : Problèmes de limites hydrodynamiques (slides).
• 20/05/20 — Bourbakonfs : Perturbation de valeurs propres.
• 18/12/19 — Bourbakettes : Introduction à la théorie spectrale.