Topics on global solutions to singular SPDEs
MATH-666 / 1 credit
Teacher: Invited lecturers (see below)
Language: English
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.
In the programs
- Exam form: Oral (session free)
- Subject examined: Topics on global solutions to singular SPDEs
- Lecture: 10 Hour(s)
- Practical work: 8 Hour(s)
- Type: optional