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Math @ Duke





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Alexander A. Kiselev, William T. Laprade 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

Teaching (Spring 2019):

  • MATH 431.01, INTRODUCTION TO REAL ANALYSIS Synopsis
    Physics 259, MW 01:25 PM-02:40 PM
  • MATH 731.01, ADVANCED CALCULUS I Synopsis
    Physics 259, 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. 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]
  2. Kiselev, A, Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics, Journal of Nonlinear Science, vol. 28 no. 6 (December, 2018), pp. 2047-2050, Springer Nature America, Inc [doi]
  3. Do, T; Kiselev, A; Ryzhik, L; Tan, C, Global Regularity for the Fractional Euler Alignment System, Archive for Rational Mechanics and Analysis, vol. 228 no. 1 (April, 2018), pp. 1-37, Springer Nature [doi]
  4. Kiselev, A; Tan, C, Finite time blow up in the hyperbolic Boussinesq system, Advances in Mathematics, vol. 325 (February, 2018), pp. 34-55, Elsevier BV [doi]  [abs]
  5. Kiselev, A; Tan, C, Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces, Siam Journal on Mathematical Analysis, vol. 50 no. 6 (January, 2018), pp. 6208-6229, Society for Industrial & Applied Mathematics (SIAM) [doi]
Recent Grant Support

  • Regularity, blow up and mixing in fluids, National Science Foundation, 2018/07-2020/06.      

 

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

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