*Online Conference* Analysis of Fluids and Related Topics: Traveling wave solutions to the free boundary Navier-Stokes equations, Speaker: Ian Tice, Carnegie Mellon University

Thu, Mar 4, 2021, 4:00 pm

Zoom link: https://princeton.zoom.us/j/4745473988


Consider a layer of viscous incompressible fluid bounded below by a flat rigid boundary and above by a moving boundary.  The fluid is subject to gravity, surface tension, and an external stress that is stationary when viewed in a coordinate system moving at a constant velocity parallel to the lower boundary.  The latter can model, for instance, a tube blowing air on the fluid while translating across the surface.  In this talk we will detail the construction of traveling wave solutions to this problem, which are themselves stationary in the same translating coordinate system.  While such traveling wave solutions to the Euler equations are well-known, to the best of our knowledge this is the first construction of such solutions with viscosity.  

This is joint work with Giovanni Leoni.

*Online Conference*

Upcoming Events

*Online Conference* Analysis of Fluids and Related Topics: A posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws, Speaker: Maria Teresa Chiri, Penn State University

*Online Seminar* Graduate Student Seminar: Proof of the Contiguity Conjecture and Lognormal Limit for the Symmetric Perceptron, Speaker, Shuangping Li

PACM Colloquium: Trachette Jackson, University of Michigan

Mon, Apr 26, 2021, 4:30 pm
Location: via Zoom - https://princeton.zoom.us/j/91802974666