Continuous dependence of the pressure field with respect to endpoints for ideal incompressible fluids. pdf, arXiv. To appear in Calculus of Variations and Partial Differential Equations.
Small noise limit and convexity for generalized incompressible flows, Schrödinger problems, and optimal transport.pdf, arXiv.
Archive of Rational Mechanics and Analysis.
Nonlinear instability in Vlasov type equations around rough velocity profiles.pdf, arXiv.
On the existence of a scalar pressure field in the Bredinger problem.pdf, arXiv.
I defended my PhD, entitled Incompressible optimal transport: dependence to the data and entropic regularization and made under the supervision of Yann Brenier and Daniel Han-Kwan in June 2019. Here is the definitive version of the text, and here you can find the slides of the defense (in french).
July 2019: Dependence with respect to the data in incompressible optimal transport. MAFRAN Conference, University of Cambridge, UK.
June 2019: Dependence with respect to the data in incompressible optimal transport. Workshop POTA, Cortona, Italy.
November 2018: Entropic regularization of incompressible optimal transport. GT CalVa, University Paris 7.
October 2018: Entropic regularization of incompressible optimal transport.Slides Oberwolfach Seminar: Optimal Transport Theory and Hydrodynamics (from Euler to Monge and vice versa).
September 2018: Penrose condition around rough velocity profiles.Slides MAFRAN days, University of Cambridge.
June 2018: The pressure field in the Brödinger problem. GFMUL seminar, University of Lisbon.
June 2018: Penrose condition around rough velocity profiles.Slides Workshop "Mathematical Advances in Fluid Mechanics", École Polytechnique.
June 2018: The Brenier model and the kinetic Euler equation. PhD students' seminar of IECL, Université de Lorraine.
March 2018: Non-uniqueness in the weak formulation of the Euler equation. Working group of the CMLS' analysis team, École Polytechnique.
February 2018: Some results about the pressure field in variational models for incompressible fluids.Slides MoKaBrainStorm, Université Paris Dauphine.
May 2017: Least action principle in an incompressible fluid. PhD students' seminar of CMLS and CMAP, École Polytechnique.
March 2017: Differential equations and the continuity equation induced by non-Lipschitz vector fields. Working group of LJLL and DMA's PhD students in analysis, ENS Paris.
Other productions (in french)
Problèmes de minimisation d'entropie avec contraintes.
(My second master thesis, in probability.) pdf, Slides of the defense.
Équation d’Euler et principe de moindre action.
(An introdution to my field of research.) pdf.
Méthodes variationnelles appliquées à la résolution et à l’étude des solutions d’équations de la mécanique des fluides.
(My first master thesis, in analysis.) pdf.