Nonlinear Partial Differential Equations

Date: November 3, 2020

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Xin Liu, Freie Universitaet Berlin

Title: Well-posedness of viscous anelastic equations

Abstract: We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interaction of the density profile with the velocity field is taken into account, and the density background profile is permitted to have physical vacuum singularity. The existing time of the solutions is infinite in two dimensions, with general initial data, and in three dimensions with small initial data.