Influence locally - affect globally: The case of Diffusion
Thursday, February 28, 2013 - 10:30am - 12:00pm
Modeling problems in environmental and physical sciences naturally leads to consider equations with discontinuous coefficients In this talk I will survey results obtained with colleagues at Oregon State University on the large scale effect on quantities of natural interest by the interface conditions required at the location of the discontinuities of the coefficients in the model. Examples that motivate this study include breakthrough curves in hydrology, occupation time in ecology and costal upwelling in oceanography. The analysis of these problems illustrates and builds on the profound connections between stochastic processes and PDE's.