Articles

My research focuses on several PDEs with dissipative type properties, particularly from fluid mechanics. The two major issues through which these properties are studied: Cauchy's theory and the control theory. In my works, several models are studied: the compressible Navier-Stokes with capillarity effect; the sub-Riemannian (incompressible) Navier-Stokes system on stratified Lie groups, the Stokes system on bounded domain and general parabolic systems.



Works on Korteweg-type models for compressible fluids
  1. Analytic regularity for Navier-Stokes-Korteweg model on pseudo-measure spaces. Dynamics of Partial Differential Equations, Volume 20, Number 1, pages 1 ‐ 21, 2023 [arXiv]

  2. Local exact controllability to constant trajectories for Navier-Stokes-Korteweg model. to appear in Evolution Equations and Control Theory [arXiv]

Works on sub-Riemannian fluids
  1. Sub-Riemannian Navier-Stokes system on the Heisenberg group: Weak solutions, well-posedness and smoothing effects. Submitted, 2024 [arXiv]

Communications



  • «Existence and regularity results for the sub-Riemannian Navier-Stokes system» Analysis and PDE seminar at University of the Basque Country, Bilbao, Spain, 17/10/2024

  • «Local exact controllability to a constant trajectory for a compressible Navier-Stokes-Korteweg system» Mathematical-Physic seminar at Dijon, France, 01/10/2024

  • «Dispersive perturbation, compressible fluids and Navier-Stokes-Korteweg system» X Partial differential equations, optimal design and numerics at Benasque, Spain, 27/08/2024

  • «Résultats d’existence et de régularité pour le système de Navier-Stokes sous-Riemannien» Analysis and PDE Seminar at CY Cergy Paris University, Cergy-Pontoise, France, 06/05/2024

  • «On the reachable spaces for some parabolic systems» Meeting of the ANR TRECOS Nancy, France, 02/04/2024

  • «Sub-Riemannian fluids» Workshop for young researchers in analysis and mathematical physics Munich, Germany, 09/10/2023

  • «Sub-Riemannian Navier-Stokes equation : Well-posedness, smoothing effects and anisotropy» (Short talks) MathFlows at CIRM, Marseille, France, 05/12/2022

  • «Anisotropic phenomenon dans the sub-Riemannian Navier-Stokes equation» Working group Scattering and Stability Bordeaux, France, 07/10/2022

  • «Analytic smoothing effect on Navier-Stokes-Korteweg system and radius of analyticity» (Short talks) Mathematical Advances in Geophysical Flows at CIRM, Marseille, France, 05/04/2022

  • «Schrödinger’s equation : infinite propagation speed and observability on the torus» the lambda Seminar at IMB, Bordeaux, France, 02/03/2022

Organization of scientific events



Co-organizer of a reading seminar for PhD students and Postdocs in Analysis and PDE
  • 2022-2023 Semester 2. Dynamic systems based on the book «Introduction to Dynamical Systems» (Brin and Stuck)

  • 2022-2023 Semester 1. Microlocal analysis based on the book «The Analysis of Linear Partial Differential Operators I» (Hörmander)

  • 2021-2022 Semester 2. (with Florent Noisette) Riemannian geometry based on the book «Riemannian Geometry and Geometric Analysis» (Jost)

Co-organizer of PDE working group
  • 2023-2024 Semester 1.(with Lois Delande) Talks given by PhD students and Postdoc from the IMB «PDE and Mathematical Physics» team