Upcoming events for the Department of Mathematics at NC State.
 
 
 
 

Wednesday August 21 at 3:00 PM to 4:00 PM in SAS 4201

Differential Equations
Angot Philippe, Aix-Marseille Université, Mathematical modeling and analysis towards the open problem of flow at a fluid-porous interface

We discuss mathematical modeling and analysis of the incompressible viscous flow at the interface of permeable media. Very recently, a simplified theory with asymptotic modeling and related approximations was extensively developed by [Angot et al., 2017] to provide physically relevant jump interface conditions for the two- or three-dimensional non-inertial flow at the interface of a permeable medium. The results of well-posedness analysis for three problems issued from this asymptotic model and covering the whole porosity range  will be described. Finally, some perspectives are proposed to deal with the multi-dimensional inertial flow by the same asymptotic modeling which supplies nonlinear jump interface conditions. We shall explain why this nonlinear model is likely to yield the global solvability in time.


Friday August 23 at 3:00 PM to 4:00 PM in SAS 4201

First Year Research Seminar
Bojko Bakalov, Alun Lloyd

 
 
Department of Mathematics | NC State University | Raleigh, NC 27695