MATH-647 / 2 credits

Teacher: Colombo Maria

Language: English

Remark: Fall semester


Frequency

Only this year

Summary

This topics course focuses on recent and classical fundamental results on the Euler and Navier-Stokes equations, such as global existence of weak solutions, (non)uniqueness results, blow-ups, partial regularity, anomalous dissipation.

Content

Keywords

Navier-Stokes equations, Euler equations

Learning Prerequisites

Required courses

Solid foundations in all analysis courses, including PDEs I and II and functional analysis I and II, is expected.

Learning Outcomes

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

  • Work out / Determine with certain solutions of the Navier-Stokes equations, assessing their uniqueness, expected regularity and blow up properties.

Resources

Bibliography

Books "The Navier-Stokes equations in the 21st century" by Lemarrié-Rieussiet, "The incomprehessible Euler and Navier-Stokes equations" by Bedrossian and Vicol.

Ressources en bibliothèque

Moodle Link

In the programs

  • Exam form: Oral presentation (session free)
  • Subject examined: Topics on the Euler and Navier-Stokes equations
  • Lecture: 22 Hour(s)
  • Exercises: 12 Hour(s)

Reference week

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