Philippe LeFloch : Multi-scale nonlinear waves in fluids: modeling, geometric analysis, and scientific computation

Posted by Ian Tobasco , part of the Departmental Colloquium.

At

Oct. 25, 2019, 3 p.m.

In

636 SEO

Abstract

I will overview recent advances on the mathematical theory of wave propagation in fluids, especially problems involving several scales and nonlinear interactions between shocks, gravitational waves, and phase interfaces. Understanding the global dynamics of complex fluid flows requires insights and methods from the fields of continuum physics, geometric analysis (curvature operators on a Riemannian manifold), partial differential equations (Euler equations, Einstein equations), and scientific computation (finite volume methods, mesh-free algorithms). Blog: philippelefloch.org