February 2019

28 février 2019 – 14h, salle Moore

Speaker: Quentin Vila (stage)
Title: Measure-valued solutions of Burgers’ equation and how to plot them
Keywords: Generalized Moment Problem (GMP), Lasserre hierarchy, measure-valued solutions, entropy solutions, Burgers’ equation, inverse design.
Abstract: The inverse design for Burgers’ equation is a difficult problem. Is it possible that the moment-sum-of-squares hierarchy gives resolution or information that the analytical techniques fail to obtain easily ? This question has not been given an answer yet, however, as a first step in that direction, we will see in this talk first how the notion of entropy measure-valued solution makes the Lasserre hierarchy applicable to the resolution of Burgers’ equation, then we will comment the reconstitution of some already known visual results, and only at the end shall we talk about some results obtained in the case of the inverse design. If the technique of the resolution by the GMP persents some advantages, it also introduces a certain number of parameters whose roles are still mysterious.