===== MANSAIS MAXENCE ==== {{:members:mmansais:photo_mm_lamme_resize_1.jpg|}} PhD student under the supervision of [[members:dchamorro:welcome|Diego Chamorro]] and [[members:lemarie:welcome|Pierre-Gilles Lemarié-Rieusset]] \\ Université d'Évry Val d'Essonne \\ Laboratoire de Mathématiques et Modélisation d'Évry (UMR 8071) \\ I.B.G.B.I., 23 Bd. de France, 91037 Évry Cedex \\ Bureau : 415 \\ ☎ : \\ 📠 : +33 1 64 85 35 60 \\ Mail :\\ maxence.mansais@univ-evry.fr\\ maxence.mansais@ens-paris-saclay.fr \\ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Sujet de thèse / PhD Subject ==== Mon sujet de thèse porte sur les solutions mild des équations de Navier-Stokes et systèmes apparentés (NS classique, NS fractionnaire, NS-Boussinesq). L'un des objectifs majeurs de cette thèse est de chercher à approfondir le jeu d'interactions qui peuvent exister dans le choix d'une vitesse initiale et d'une force extérieure, le tout à l'aide d'outils variés d'analyse harmonique (intégrales singulières), estimations de noyaux...\\ The topic of my PhD focuses on mild solutions of Navier-Stokes equations and similar systems (classical NS, fractional NS, NS-Boussinesq). One of the main goals of the PhD will be to try to study in more details existing interactions in the choice of an initial velocity and an external force, using diverse tools coming from harmonic analysis (singular integrals), kernel estimates ... %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Prépublications / Preprints ==== __- 2024 :__\\ * Some general external forces and critical mild solutions for the fractional Navier-Stokes equations ([[https://hal.science/hal-05000696|HAL]],[[https://arxiv.org/abs/2503.18450|arXiv]])\\ D. Chamorro, M. Mansais.\\ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Enseignement / Teaching ==== __- 2024-2025 :__\\ * TD L1SDVC analyse & probabilités\\ * TD L2ECO géométrie complexe & algèbre linéaire\\ * interrogations orales L1maths analyse, algèbre linéaire\\ __- 2020-2022 :__\\ * Khôlles MPSI CPGE Marceau (28000 Chartres) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Implications dans le laboratoire / Lab involvment ==== * Co-organisateur du [[sg:seminairephd|séminaire doctorants du Lamme]] / Co-organiser of the LaMME [[sg:seminairephd|PhD students seminar]] * Membre élu conseil de laboratoire / Elected lab council PhD students representative %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== parcours pré doctorat / pre-PhD education ==== __- 2020-2024 :__\\ * [[https://ens-paris-saclay.fr|ENS Paris-Saclay]] scholarship in the maths department ([[http://math.ens-paris-saclay.fr|DER maths]]) \\ __- 2023-2024 :__\\ * M2 Analyse, Modélisation, Simulation Université Paris Saclay ([[https://www.imo.universite-paris-saclay.fr/fr/etudiants/masters/mathematiques-et-applications/m2/analyse-modelisation-simulation/|UPSaclay]], [[https://www.imo.universite-paris-saclay.fr/fr/etudiants/masters/mathematiques-et-applications/m2/analyse-modelisation-simulation/|LMO]], [[https://uma.ensta-paris.fr/modsim/|ENSTA]])\\ __- 2022-2023 :__\\ * M2 FESUP maths ENS Paris Saclay ([[https://www.universite-paris-saclay.fr/formation/master/mathematiques-et-applications/m2-formation-lenseignement-superieur-en-mathematique-site-ens-paris-saclay|UPSaclay]])\\ * Admis Concours Agrégation Externe en Mathématiques\\ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Séminaires & conférences suivis ==== __- 06/11/2024-08/11/2024 :__ Conférence en l'honneur de Pierre Gilles Lemarié-Rieusset ([[https://pglr64ans.sciencesconf.org|lien]])\\ __- 07/04/2025-11/04/2024 :__ Équations cinétiques et turbulence ([[https://bardos-85.sciencesconf.org|lien]])\\ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Participation à des Séminaires & Conférences à venir ==== __- 19/05/2025-22/05/2025 :__ Journées CY Analyse non linéaire 2025 ([[https://cyna-25.sciencesconf.org/?forward-action=index&forward-controller=index&lang=fr|lien]]) / CY Days in Nonlinear Analysis 2025 ([[https://cyna-25.sciencesconf.org/?forward-action=index&forward-controller=index&lang=en|link]])\\ __- 26/05/2025-30/05/2025 :__ Physique et Mathématique de la turbulence hydrodynamique et de la turbulence d’ondes / Physics and Mathematics of hydrodynamic and wave turbulence ([[https://conferences.cirm-math.fr/3173.html|CIRM]])\\ __- 02/06/2025-06/06/2025 :__ Journée EDP 2025 centre Paul Langevin-Anssois ([[https://jedp2025.sciencesconf.org/?forward-action=index&forward-controller=index&lang=fr|lien]]) / PDE Days 2025 Centre Paul Langevin - Anssois ([[https://jedp2025.sciencesconf.org/?forward-action=index&forward-controller=index&lang=en|link]])\\ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ==== Présentations ==== __- 16/06/2025 :__ GT des doctorants ANH et ANEDP de l'[[https://www.imo.universite-paris-saclay.fr/fr/|IMO]] (Orsay) / Harmonic analysis and PDE analysis PhD seminar of [[https://www.imo.universite-paris-saclay.fr/en/|IMO]] (Orsay) ([[https://www.imo.universite-paris-saclay.fr/fr/events/7641|abstract (TBA)]])\\