Euler spray and optimal transport

Tuesday, October 18, 2016 - 10:00
Thackeray Hall 427
Speaker Information
Jian-Guo Liu
Duke University

Abstract or Additional Information

The Seminar will be in Thackeray Hall 427, at 10am on Tuesday, 10/18.

ABSTRACT: 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 is joint work with Bob Pego and Dejan Slepcev.