Alexander A. Kiselev, William T. Laprade 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 2019):

• MATH 431.01, INTRODUCTION TO REAL ANALYSIS Synopsis

  Physics 259, MW 01:25 PM-02:40 PM

  (also cross-listed as MATH 731.01)

• MATH 631.01, MEASURE AND INTEGRATION Synopsis

  Physics 259, MW 01:25 PM-02:40 PM

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; Li, C, Global regularity and fast small-scale formation for Euler patch equation in a smooth domain, Communications in Partial Differential Equations (January, 2019) [doi]  [abs]
2. 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]
3. 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]
4. 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]  [abs]
5. 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]

Recent Grant Support

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