George Avalos, University of Nebraska-Lincoln
2023 AWM Research Symposium
Recent Developments in Control, Optimization, and the Analysis of Partial Differential Equations [Organized by Lorena Bociu and Pelin Guven Geredeli]

This talk will present recent results concerning the (partial) validation of a conjecture by the late Igor Chueshov: He surmised that a certain fluid-structure PDE dynamics, whose respective PDE components evolve on distinct geometries and interact strictly across a boundary interface, are associated with strongly continuous semigroups which manifest analytic-like properties. Findings of semigroup analyticity (or Gevrey regularity) have deep implications from the point of view of PDE control theory; e.g., given the underlying infinite differentiablity for analytic or Gevrey regular semigroups, investigations of controllability properties for such controlled fluid-structure PDE models should be concerned with reaching the zero state.

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