BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Effective diffusion for nonlinear reactive flows in strong convect
 ion regime - Harsha Hutridurga (Cambridge)
DTSTART:20131014T140000Z
DTEND:20131014T150000Z
UID:TALK47821@talks.cam.ac.uk
CONTACT:Prof. Clément Mouhot
DESCRIPTION:We study the transport of a tracer in a periodic porous medium
  in large Peclet regime. Tracers are assumed to undergo nonlinear adsorpti
 on/desorption reaction\, modeled via Langmuir isotherm\, on the fluid-pore
  interfaces. We work with a coupled system of convection-diffusion equatio
 ns. Expression for effective diffusion is derived by Homogenization. We ha
 ve introduced a new notion of compactness called "Two-scale convergence wi
 th drift on periodic surfaces" which happens to be the right tool for the 
 Homogenization problems posed in strong convection regime. This talk conce
 rns the mathematical modeling of reactive flows and the techniques of Homo
 genization. The main result states that the homogenized limit of the coupl
 ed model is a  scalar nonlinear monotone diffusion equation posed in the f
 ull domain $\\mathbb{R}^d$. The homogenization result is proved under a te
 chnical assumption of equal drifts for the fluid velocity in the bulk and 
 its slip velocity on the pore surfaces. This emphasizes the need for the d
 evelopments of new techniques in the theory of Homogenization. This is a j
 oint work with Gregoire Allaire.
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR