MATH-666 / 1 crédit

Enseignant: Invited lecturers (see below)

Langue: Anglais


Frequency

Only this year

Summary

This is a mini topics course on global solutions to singular SPDEs, such as Phi4, Anderson model, Navier-Stokes driven by white noises. Prerequisite is an introductory course of PDE and probability theory.

Content

This is a mini topics course on global solutions to singular SPDEs. We will start by briefly reviewing local solution theories for singular SPDEs. We then select some topics on global bounds such as maximum principle, energy estimates, with possible examples such as Phi4, gPAM, Navier-Stokes and abelian Higgs.

Keywords

Stochastic PDE, regularity structures, paracontrol method, global estimates.

Learning Prerequisites

Required courses

an introductory course of PDE and probability theory.

Learning Outcomes

By the end of the course, the student must be able to:

  • Describe and be familiar with some useful tools to prove global solutions to certain SPDEs.

Resources

Moodle Link

Dans les plans d'études

  • Forme de l'examen: Oral (session libre)
  • Matière examinée: Topics on global solutions to singular SPDEs
  • Cours: 10 Heure(s)
  • TP: 8 Heure(s)
  • Type: optionnel

Semaine de référence

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