Boundary layer associated with the Darcy-Brinkman-Boussinesq system

PDE Seminar
Tuesday, October 13, 2009 - 15:05
1.5 hours (actually 80 minutes)
Skiles 255
Florida State University
We study the asymptotic behavior of the infinite Darcy-Prandtl number Darcy-Brinkman-Boussinesq model for convection in porous media at small Brinkman-Darcy number. This is a singular limit involving a boundary layer with thickness proportional to the square root of the Brinkman-Darcynumber . This is a joint work with Jim Kelliher and Roger Temam.