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 2025):

• MATH 431.01, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, TuTh 11:45 AM-01:00 PM

• MATH 431.02, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, TuTh 10:05 AM-11:20 AM

• MATH 731.01, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, TuTh 11:45 AM-01:00 PM

• MATH 731.02, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, TuTh 10:05 AM-11:20 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; Luo, X, The α-SQG patch problem is illposed in C2,β and W2,p, Communications on Pure and Applied Mathematics, vol. 78 no. 4 (April, 2025), pp. 742-820 [doi]  [abs]
2. Hu, Z; Kiselev, A, Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary, Journal of Functional Analysis, vol. 287 no. 7 (October, 2024) [doi]  [abs]
3. Gong, Y; Kiselev, A, CHEMOTACTIC REACTION ENHANCEMENT IN ONE DIMENSION, Communications in Mathematical Sciences, vol. 22 no. 5 (January, 2024), pp. 1287-1305 [doi]  [abs]
4. Gong, Y; Kiselev, A, A simple reaction-diffusion system as a possible model for the origin of chemotaxis., Journal of biological dynamics, vol. 17 no. 1 (December, 2023), pp. 2260833 [doi]  [abs]
5. Kiselev, A; Luo, X, Illposedness of C² Vortex Patches, Archive for Rational Mechanics and Analysis, vol. 247 no. 3 (June, 2023) [doi]  [abs]

Recent Grant Support

• Small Scale and Singularity Formation in Fluids, National Science Foundation, 2023/07-2026/06.      
• 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, 2020/07-2025/06.      
• 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.