|
Instructors: Prof. Ph.D. Stefano Modena
Event type:
Seminar
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
Seminar (ana) Master
Subject:
Crediting for:
Hours per week:
2
Language of instruction:
German and English
Min. | Max. participants:
- | -
Digital Teaching:
It has not yet been decided whether the seminar will be in presence or online. This depends on the current university rules and the number of participants. More Info on Moodle.
ATTENTION: since we don't know yet if the seminar will be in presence or online, the registration for the seminar will open on 20.09.2021.
Course Contents:
Navier-Stokes equations describe the motion of a viscous fluid and are among the most important systems of PDEs in fluid dynamics. Despite their formulation almost 200 years ago, it is still an open question (with a one million dollars prize) whether, for any smooth initial datum, they admit a smooth solution defined for all times. In 1934 Leray showed that this is true, provided the classical notion of smooth solution is substituted by a weaker notion of solution. Almost 90 years later Leray result is still one of the most important achievments in the theory of Navier-Stokes equations. Aim of the seminar is to study Leray's proof.
Literature:
W.S. Ozanski, B.C. Pooley, Leray’s fundamental work on the Navier–Stokes equations: a modern review of “Sur le mouvement d’un liquide visqueux emplissant l’espace” (2018)
Preconditions:
recommended: basic courses in Analysis, in particular measure theory. Functional analysis can be useful, but it is not strictly needed.
Online Offerings:
moodle
|
