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CATEGORIES:Partial Differential Equations seminar
SUMMARY:Effective diffusion for nonlinear reactive flows i
n strong convection regime - Harsha Hutridurga (Ca
mbridge)
DTSTART;TZID=Europe/London:20131014T150000
DTEND;TZID=Europe/London:20131014T160000
UID:TALK47821AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/47821
DESCRIPTION:We study the transport of a tracer in a periodic p
orous medium in large Peclet regime. Tracers are a
ssumed to undergo nonlinear adsorption/desorption
reaction\, modeled via Langmuir isotherm\, on the
fluid-pore interfaces. We work with a coupled syst
em of convection-diffusion equations. Expression f
or effective diffusion is derived by Homogenizatio
n. We have introduced a new notion of compactness
called "Two-scale convergence with drift on period
ic surfaces" which happens to be the right tool fo
r the Homogenization problems posed in strong conv
ection regime. This talk concerns the mathematical
modeling of reactive flows and the techniques of
Homogenization. The main result states that the ho
mogenized limit of the coupled model is a scalar
nonlinear monotone diffusion equation posed in the
full domain $\\mathbb{R}^d$. The homogenization r
esult is proved under a technical assumption of eq
ual drifts for the fluid velocity in the bulk and
its slip velocity on the pore surfaces. This empha
sizes the need for the developments of new techniq
ues in the theory of Homogenization. This is a joi
nt work with Gregoire Allaire.
LOCATION:CMS\, MR13
CONTACT:Prof. ClĂ©ment Mouhot
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