Singular limits and dimension reduction in fluid dynamics
Fluid dynamic equations are used to model various phenomena arising from physics, engineering, etc. One feature of those models is that they take place at different time and length scales and it is important to understand which phenomena occur according to the use of single scales or to the interactions of them. From a mathematical point of view, these various behaviors give rise to different singular limits and, consequently to a different analysis of the asymptotics of the governing equations. In fact there are several competing processes in the course of the singular limits and the aim of this project is to investigate the interplay between diffusive and dispersive phenomena with a special attention to the dimension reduction problem.
In addition to the necessary experience of the aforementioned topics, the project will require a profound knowledge of dispersive estimates and spectral methods
This job comes from a partnership with Science Magazine and