The analysis seminar offers a venue for research, tutorial and expository talks in the area of analysis.
See below for upcoming seminars or access the seminar archive.
Organizers
Elaine Cozzi and David Finch.
Timing
Mondays at noon
Avoiding vacuum in two models of superfluidity
Zoom
Speaker: Pranava Jayanti
At low pressures and very low temperatures, Helium-4 is composed of two interacting phases: the superfluid and the normal fluid. We discuss some recent mathematical results in the analysis of two distinct models of superfluidity.Micro-scale model: The nonlinear Schrödinger equation is coupled with the incompressible inhomogeneous Navier-Stokes equations through a bidirectional nonlinear relaxation mechanism that facilitates mass and momentum exchange between phases. For small initial data, we… Read more.