University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Then initial value problem for the Euler equations of fluids viewed as a convex optimisation problem

Then initial value problem for the Euler equations of fluids viewed as a convex optimisation problem

Add to your list(s) Download to your calendar using vCal

  • UserYann Brenier, CNRS & Ecole Normale SupĂ©rieure, Paris
  • ClockMonday 21 May 2018, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

We consider the initial value problem for the Euler equations of inviscid fluids and, more generally, for “conservation laws with convex entropy”. It is shown that any smooth solution to the initial value problem, at least for short time, can be recovered by solving a suitable convex optimisation problem. This problem, which can be solved for arbitrarily long time intervals, makes bridges between the three theories of optimal transport, mean field game and convex integration. In the elementary case of the “inviscid” Burgers equation, it is shown that every entropy solution, including shocks, can be recovered without any restriction on the time interval.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2018 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity