delay differential equations

Friday, June 8, 2018 - 9:30am - 10:20am
Navaratnam Sri Namachivaya (University of Illinois at Urbana-Champaign)
First part of this lecture provides theoretical results and numerical demonstration for nonlinear filtering of systems with multiple timescales. This work provides the necessary theoretical bedrock upon which computationally efficient algorithms may be further developed to handle the problem of data assimilation in ever-increasingly higher dimensional complex systems; specifically with a focus on Dynamic Data-Driven Application Systems.
Thursday, September 7, 2017 - 9:00am - 9:35am
H.T. Banks (North Carolina State University)
Poro-elastic systems have been used extensively in modeling fluid flow in porous media in petroleum and earthquake engineering. Currently, they are frequently used to model fluid flow through biological tissues, cartilages, and bones. In these biological applications, the fluid-solid mixture problems, which may also incorporate structural viscosity, are considered on bounded domains with appropriate non-homogeneous boundary conditions. In this presentation we consider the Lamina Cribrosa, a thin, mesh-like tissue at the base of the optic nerve head.
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