Speaker: Dr. Zachary Bradshaw, Department of Mathematical Sciences
Date: Wednesday, October 13, 2021, 4:05 PM – 4:55 PM
Title: Continuous data assimilation for fluid models: Foundations and new results
Abstract: Data assimilation is concerned with using coarse measurements of a system to accurately recover fine scale dynamics and has applications in engineering and forecasting. In the first part of this two part series, we will recall the details of a novel data assimilation algorithm of Azouni, Olson and Titi for the Navier-Stokes equations. In the second part, we will discuss a modification of the algorithm due to Biswas, Bradshaw and Jolly which collects data locally, a feature in real world applications.
Bio: Z. Bradshaw received his PhD from the University of Virginia in 2014. He then served as a post-doctoral research scholar at the University of British Columbia before returning to the University of Virginia as a visiting scholar for one year. Since 2017, he has been an assistant professor at the University of Arkansas. His research is in the Analysis of PDEs, focusing on issues of regularity, uniqueness, stability, symmetry and synchronization in fluid models.
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