Events for 11/03/2020 from all calendars
Nonlinear Partial Differential Equations
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.