Le séminaire des doctorants se propose de fournir aux doctorants une occasion de s'ouvrir aux autres domaines des mathématiques que le leur. A chaque séance, un intervenant réalise un exposé sur un fait standard de leur domaine d'étude, de niveau adapté à l'ensemble des doctorants.

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The incompressible Navier-Stokes equations model the time evolution behaviour of a viscous newtonian fluid and has been the topic of extensive mathematical research.

In this talk I will primarily focus on a somewhat recent result from 2013 of Zeng Zhang and Zhaoyang Yin for the construction of so called critical mild solutions of the Navier-Stokes equations, which serves as a resourceful introduction to several key obstacles and methods of resolution to the Navier-Stokes system.

The PhD students seminar aims to provide PhD students with an opportunity to explore other areas of mathematics beyond their own. At each session, a speaker gives a presentation on a standard topic in their field of study, at a level suitable for all doctoral students.