Alexander A. Kiselev, William T. Laprade Distinguished Professor

My current research interests focus on mathematical fluid mechanics and mathematical biology.
In the past, I have also worked on reaction-diffusion equations and spectral theory of Schredinger operators. 

Contact Info:

Office Location:
Office Phone:	(919) 660-2839
Email Address:
Web Page:	https://services.math.duke.edu/~kiselev/

Teaching (Spring 2023):

• MATH 790-90.04, MINICOURSE IN ADVANCED TOPICS Synopsis

  Physics 205, TuTh 10:15 AM-11:30 AM

Education:

Ph.D.

California Institute of Technology

1997

Keywords:

Biology--Mathematical models • Fluid mechanics • Reaction-diffusion equations • Spectral theory (Mathematics)

Recent Publications   (More Publications)

1. Kiselev, A; Yao, Y, Small Scale Formations in the Incompressible Porous Media Equation, Archive for Rational Mechanics and Analysis, vol. 247 no. 1 (February, 2023) [doi]  [abs]
2. Kiselev, A; Tan, C, The Flow of Polynomial Roots Under Differentiation, Annals of Pde, vol. 8 no. 2 (December, 2022) [doi]  [abs]
3. Gong, Y; He, S; Kiselev, A, Random Search in Fluid Flow Aided by Chemotaxis., Bulletin of Mathematical Biology, vol. 84 no. 7 (June, 2022), pp. 71 [doi]  [abs]
4. Chouliara, D; Gong, Y; He, S; Kiselev, A; Lim, J; Melikechi, O; Powers, K, Hitting time of Brownian motion subject to shear flow, Involve, a Journal of Mathematics, vol. 15 no. 1 (January, 2022), pp. 131-140 [doi]  [abs]
5. Kiselev, A; Tan, C, GLOBAL REGULARITY FOR A NONLOCAL PDE DESCRIBING EVOLUTION OF POLYNOMIAL ROOTS UNDER DIFFERENTIATION, Siam Journal on Mathematical Analysis, vol. 54 no. 3 (January, 2022), pp. 3161-3191 [doi]  [abs]

Recent Grant Support

• RTG: Training Tomorrow's Workforce in Analysis and Applications, National Science Foundation, 2021/07-2026/06.      
• Small Scale and Singularity Formation in Fluids, National Science Foundation, 2020/07-2023/06.      
• Small Scale and Singularity Formation in Fluid Mechanics and Biology, Simons Foundation, 2020/06-2022/08.      
• Regularity, blow up and mixing in fluids, National Science Foundation, 2018/07-2022/06.