Math @ Duke

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 reactiondiffusion equations and spectral theory of Schredinger operators.  Contact Info:
Teaching (Spring 2020):
 MATH 431.01, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 235, WF 01:25 PM02:40 PM
 MATH 431.02, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 235, WF 03:05 PM04:20 PM
 MATH 731.01, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 235, WF 01:25 PM02:40 PM
 MATH 731.02, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 235, WF 03:05 PM04:20 PM
 Education:
Ph.D.  California Institute of Technology  1997 
 Keywords:
BiologyMathematical models • Fluid mechanics • Reactiondiffusion equations • Spectral theory (Mathematics)
 Recent Publications
(More Publications)
 Kiselev, A; Li, C, Global regularity and fast smallscale formation for Euler patch equation in a smooth domain,
Communications in Partial Differential Equations, vol. 44 no. 4
(April, 2019),
pp. 279308 [doi] [abs]
 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. 21272152, Springer Nature America, Inc [doi] [abs]
 Kiselev, A, Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics,
Journal of Nonlinear Science, vol. 28 no. 6
(December, 2018),
pp. 20472050, Springer Nature America, Inc [doi]
 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. 137, Springer Nature [doi] [abs]
 Kiselev, A; Tan, C, Finite time blow up in the hyperbolic Boussinesq system,
Advances in Mathematics, vol. 325
(February, 2018),
pp. 3455, Elsevier BV [doi] [abs]
 Recent Grant Support
 Regularity, blow up and mixing in fluids, National Science Foundation, 2018/072020/06.


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

