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. 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]
2. 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]
3. Kiselev, AA, Small Scale Creation in Active Scalars, in Lecture Notes in Mathematics, Lecture Notes in Mathematics, vol. 2272 (2020), pp. 123-159, ISBN 978-3-030-54898-8 [doi]  [abs]
4. Kiselev, A; Li, C, Global regularity and fast small-scale formation for Euler patch equation in a smooth domain, Communications in Partial Differential Equations, vol. 44 no. 4 (April, 2019), pp. 279-308 [doi]  [abs]
5. Do, T; Kiselev, A; Xu, X, Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation, Journal of Nonlinear Science, vol. 28 no. 6 (December, 2018), pp. 2127-2152, Springer Nature America, Inc [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.