From Newton to Vlasov: rigorous approximations

(Reading seminar Summer 2023)

Phan Thành Nam - Uni2work

General Information

Description: In this seminar we will discuss rigorous connections from first principles of Newton mechanics to Vlasov equation and related effective theories.

Audience : Bachelor and Master students of Mathematics.

Credits: 3 ECTS.

Language: English.

Please register via Uni2work.

Time and place: Friday 14:15-16:00, room B 251.

References:

François Golse. From Newton to Vlasov: the Mean-Field Limit. Lecture Notes, Ecole Polytechnique.

Toan T. Nguyen. Kinetic theory: global solution to 3D Vlasov-Poisson. Snapshots in mathematics Blog.

Dustin Lazarovici, Peter Pickl. A mean field limit for the Vlasov-Poisson system. Archive for Rational Mechanics and Analysis (2017).

Schedule:

May 5: Introduction.

May 19: Cauchy problem for Vlasov equation.

May 26: Cauchy problem for Vlasov equation (continued).

June 2: A dynamics of coupling and the Eulerian Variant of the Dobrushin Estimate (Riccardo Panza)

June 30: Monge-Kantorovich distances and conclusion of the mean-field limit (Sean Disarò)

July 14: Progress on the derivation of the Vlasov-Poisson equation (Charlotte Dietze)

July 21: Open problems