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 2026):

• MATH 353.01, ORD AND PRTL DIFF EQUATIONS Synopsis

  Physics 259, WF 03:05 PM-04:20 PM

• MATH 353.05, ORD AND PRTL DIFF EQUATIONS Synopsis

  Physics 259, WF 01:25 PM-02:40 PM

• MATH 753.01, ORD AND PRTL DIFF EQUATIONS Synopsis

  Physics 259, WF 03:05 PM-04:20 PM

• MATH 753.05, ORD AND PRTL DIFF EQUATIONS Synopsis

  Physics 259, WF 01:25 PM-02:40 PM

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. Hu, Z; Kiselev, A; Yao, Y, Suppression of Chemotactic Singularity by Buoyancy, Geometric and Functional Analysis, vol. 35 no. 3 (June, 2025), pp. 812-841 [doi]  [abs]
2. Kiselev, A; Sarsam, NA, Finite time blow-up in a 1D model of the incompressible porous media equation, Nonlinearity, vol. 38 no. 5 (May, 2025) [doi]  [abs]
3. 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]
4. Kiselev, A; Park, J; Yao, Y, SMALL SCALE FORMATION FOR THE 2-DIMENSIONAL BOUSSINESQ EQUATION, Analysis and Pde, vol. 18 no. 1 (January, 2025), pp. 171-198 [doi]  [abs]
5. 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]

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.