Applied and Computational Math Seminar: Fractional PDEs: control, applications, and beyond

Speaker: Harbir Antil, GMU
Title: Fractional PDEs: control, applications, and beyond

Abstract: Fractional calculus and its application to anomalous transport has recently received a tremendous amount of attention. In these studies, the anomalous transport (of charge, tracers, fluid, etc.) is presumed attributable to long-range correlations of material properties within an inherently complex, and in some cases self-similar, conducting medium. Rather than considering an exquisitely discretized (and computationally explosive) representation of the medium, the complex and spatially correlated heterogeneity is represented through reformulation of the PDE governing the relevant transport physics such that its coefficients are, instead, smooth but paired with fractional-order space and/or time derivatives. This talk will give an introduction to fractional diffusion. Several new applications, including a novel optimal control concept will be discussed. 

Time: Friday, November 16, 2018, 1:30-2:30pm

Place: Exploratory Hall, Room 410