Post-doctoral contract on PDE and Fluid Mechanics on the Institute of Mathematics of the University of Seville
The Excellence Research Grant Singularity formation in Incompressible Flows Interfaces, leaded by Francisco Gancedo García, include a 2-year term post-doctoral contract.
The call will be open on 3rd December 2014.
(Added on 2014/12/02): Call information
Candidates should have analysis and/or numerics of PDEs background.
Interested candidates are asked to contact the IP of the project, Dr. F. Gancedo García (fgancedo [at] us.es).
The research of this proposal is focused on solving problems that involve the evolution of fluid interfaces. The project will investigate the dynamics of free boundaries arising between incompressible fluids of different nature. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or lack thereof, existence of solutions for all time. These contour dynamics issues are governed by fundamental fluid mechanics equations such as the Euler, Navier-Stokes, Darcy and quasi-geostrophic systems. They model important problems such as water waves, viscous waves, Muskat, interface Hele-Shaw and SQG sharp front evolution. All these contour dynamics frameworks will be studied with emphasis on singularity formation and global existence results, not only for their importance in mathematical physics, but also for their mathematical interest. These present huge challenges which will in particular require the use of different tools and methods from several areas of mathematics. The main goal of this project is to delve into and expand analytical and numerics techniques to go beyond the state of the art in these contour dynamics problems for incompressible fluids.