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- Giving to Math

Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 9, 2009 - 05:00 to 06:00

Location:

GLK 113

Event Link:

Abstract:

This talk concerns the mathematical treatment of solute

transport when the mean velocity is perpendicular to a sharp interface.

The mathematical model is based on the Fickian laws of

advection-dispersion with continuity of the concentration and the flux

across the interface. In deriving the solution we extend methods of a

recently published paper (Ramirez, Thomann, Waymire, Haggerty, Wood.

2008) involving the theory of skew Brownian motion for describing solute

transport parallel to a sharp interface to the case of orthogonal flow.

An application to breakthrough curves is given which explains

emperically discovered asymmetries under a mirror symmetric change in

the orientation of the flow from coarse to fine and fine to coarse.