Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

Lecture series by prof. J-G. Liu, Duke Univ.

Lecture series by prof. J-G Liu, Duke Univ.

Prof. Jian-Guo Liu  (Duke University)  will give a minicourse entitled :
Least action, incompressible flow, and optimal transport

Date : Mondays  Nov. 14th, 21st, 28th
Time : 4.30 - 6.00 pm
Location :  Building 9, room 3222

We describe a striking connection between Arnold's least-action principle for incompressible Euler flows and geodesic paths for Wasserstein distance. The least- action problem for geodesic distance on the `manifold' of fluid-blob shapes exhibits instability due to microdroplet formation. A connection with fluid mixture models via a variant of Brenier’s relaxed least-action principle for generalized Euler flows will also be discussed.  This will be a detailed minicourse covering the above results as well as the preliminary material that we build upon.