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The Erwin Schroedinger Institute for Mathematical Physics

Yann Brenier (CNRS, Ecole Polytechnique, Palaiseau): Optimal transport methods for hamiltonian PDEs

Advanced Graduate Lecture Course and Proseminar:

Consisting of a Lecture Course of 2 hours and a Proseminar of 1 hour per week:

Lecture Course (250 120 VO): Thursday and Friday, 13:15 - 14:45 hrs

Start: April 14, 2016

Proseminar (250 121 PS): Thursday and Friday, 15:00 - 15:45 hrs

Start: April 14, 2016

Note there will be no activities in the period May 1 - 19, 2016. The lecture and proseminar from April 21 will be caught up on May 20, 2016!


In the last 25 years, Optimal transport theory, which lies between Calculus of Variations, Probability and Geometry, has been used many times to address non-linear elliptic PDEs, such as
the real Monge-Ampere equation, or parabolic equations such as the heat equation and many nonlinear generalizations. Its link with conservative, hamiltonian and hyperbolic PDEs is much less documented.e.

The aim of this course is to cover two important examples: namely the Euler equations of incompressible fluids, which goes back to the 18th century (few years before Monge introduced the first optimal transport problem) and the Born-Infeld equations of Electromagnetism which goes back to 1934 and has been revisited in the 90s by High Energy Physicists.

Flyer (pdf)

At a glance

Type: SRF course
When: Apr 14, 2016 to
Jun 30, 2016
Where: ESI, Schrödinger Lecture Hall
Organizers: Joachim Schwermer (ESI, U Vienna)
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