Regular biography
Alexander A. Kiselev is the William T. Laprade Distinguished Professor of Mathematics at Duke University's Department of Mathematics. His research interests include mathematical fluid mechanics and mathematical biology, with past work involving reaction-diffusion equations and spectral theory of Schrödinger operators. He is affiliated with the Trinity College of Arts & Sciences and holds a professorship in mathematics. Kiselev's recent publications explore topics such as chemotaxis-fluid systems, reaction enhancement by flux-limited chemotaxis, and anomalous diffusion dynamics. He has also been involved in several National Science Foundation grants, including projects on training in analysis and applications and small-scale singularity formation in fluids.
Scholar-generated biography
Alexander Kiselev is a mathematician at Duke University with research interests in fluid mechanics, mathematical biology, quantum mechanics, and reaction-diffusion equations. His work focuses on the analysis of partial differential equations arising in fluid dynamics, including the study of well-posedness, regularity, and blow-up phenomena for equations such as the quasi-geostrophic equation, Euler equation, and SQG patch equation. He also investigates the interplay between diffusion, mixing, and reaction processes in biological and physical systems. His research includes the spectral analysis of Schrödinger operators, chemotactic mixing, and the enhancement of reaction-diffusion dynamics through advection.