Alexander A. Kiselev, William T. Laprade Distinguished Professor

Alexander A. Kiselev

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. 

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

Teaching (Spring 2025):

Education:

Ph.D.California Institute of Technology1997
Keywords:

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

Recent 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