| Description: | [DMS Seminar] Dr. Debayan Maity (Institut de Mathématiques de Bordeaux, France) -- A maximal regularity approach to the analysis of some Particulate flows |
| Date: | Thursday, Mar 30, 2017 |
| Time: | 2 p.m. - 3 p.m. |
| Venue: | G09, Lecture Hall Complex |
| Details: | The term particulate flows designs the coupled motion of a collection of rigid bodies and of a fluid surrounding them. Such systems occur, for instance, in aerodynamics (flow around an aircraft), medicine (blood flow in vessels), zoology (swimming of aquatic animals). The mathematical study of these problems rises several challenges, the main one being due to the fact that the domain filled by the fluid is one of the unknowns of the problem. Another difficulty which has to be tackled is that the dynamics of the system couples equations of different nature: ordinary differential or partial differential equations modelling the solid with the partial differential equations (compressible or incompressible Navier-Stokes) modelling the fluid. In this talk we present some recent advances in the mathematical analysis of some particulate flows. We show that a variety of such systems can be mathematically tackled as a perturbation (in an appropriate sense) of the equations describing the fluid alone. |
| Calendar: | Seminar Calendar (entered by arun.ds) |