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Math @ Duke





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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. 

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

Teaching (Spring 2024):

  • MATH 690-32.01, TOPICS IN ANALYSIS Synopsis
    Physics 227, MW 01:25 PM-02:40 PM
Education:

Ph.D.California Institute of Technology1997
Keywords:

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

Recent Publications   (More Publications)

  1. 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]
  2. Kiselev, A; Luo, X, Illposedness of C2 Vortex Patches, Archive for Rational Mechanics and Analysis, vol. 247 no. 3 (June, 2023) [doi]  [abs]
  3. Kiselev, A; Luo, X, On Nonexistence of Splash Singularities for the α -SQG Patches, Journal of Nonlinear Science, vol. 33 no. 2 (April, 2023) [doi]  [abs]
  4. Kiselev, A; Yao, Y, Small Scale Formations in the Incompressible Porous Media Equation, Archive for Rational Mechanics and Analysis, vol. 247 no. 1 (February, 2023) [doi]  [abs]
  5. Kiselev, A; Nazarov, F; Ryzhik, L; Yao, Y, Chemotaxis and reactions in biology, Journal of the European Mathematical Society, vol. 25 no. 7 (January, 2023), pp. 2641-2696 [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, 2020/07-2023/06.      
  • 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.      

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320