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 2022):

• MATH 431.01, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, TuTh 01:45 PM-03:00 PM

• MATH 431.02, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 235, TuTh 10:15 AM-11:30 AM

• MATH 731.01, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, TuTh 01:45 PM-03:00 PM

• MATH 731.02, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 235, 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; Luo, X, On nonexistence of splash singularities for the $α$-SQG patches (November, 2021)  [abs]
2. He, S; Kiselev, A, Boundary layer models of the Hou-Luo scenario, Journal of Differential Equations, vol. 298 (October, 2021), pp. 182-204 [doi]  [abs]
3. Kiselev, A; Yao, Y, Small scale formations in the incompressible porous media equation (February, 2021)  [abs]
4. He, S; Kiselev, A, Small-scale creation for solutions of the sqg equation, Duke Mathematical Journal, vol. 170 no. 5 (January, 2021), pp. 1027-1041, Duke University Press [doi]  [abs]
5. Kiselev, A; Nazarov, F; Ryzhik, L; Yao, Y, Chemotaxis and Reactions in Biology (April, 2020)  [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.