MATH-612 / 2 credits

Teacher: Invited lecturers (see below)

Language: English

Remark: Spring 2022


Frequency

Only this year

Summary

We will present the theory of PDEs and of transport equations with rough (non Lipschitz) velocity fields, address both the renormalisation theory by DiPerna-Lions-Ambrosio and its quantitative Lagrangian counterpart and show applications to mixing estimates.

Content

Keywords

ODE flows, transport and continuity equations, Sobolev spaces, mixing, Euler equations

Learning Prerequisites

Recommended courses

Basic classes of analysis, tools from PDE, tools from measure thoery. Some ideas from Fourier analysis or from dynamical systems could be useful.

Resources

Bibliography

Lecture notes and research papers will be communicated during the class.

In the programs

  • Subject examined: Irregular transport and mixing
  • Lecture: 28 Hour(s)

Reference week