Math @ Duke

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 reactiondiffusion equations and spectral theory of Schredinger operators.  Contact Info:
Office Location:   Office Phone:  (919) 6602839  Email Address:   Teaching (Fall 2018):
 MATH 69032.01, TOPICS IN ANALYSIS
Synopsis
 Physics 205, WF 01:25 PM02:40 PM
Teaching (Spring 2019):
 MATH 431.01, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 259, MW 01:25 PM02:40 PM
 MATH 731.01, ADVANCED CALCULUS I
Synopsis
 Physics 259, MW 01:25 PM02:40 PM
 Education:
Ph.D.  California Institute of Technology  1997 
 Keywords:
BiologyMathematical models • Fluid mechanics • Reactiondiffusion equations • Spectral theory (Mathematics)
 Recent Publications
(More Publications)
 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 [doi]
 Kiselev, A; Tan, C, Finite time blow up in the hyperbolic Boussinesq system,
Advances in Mathematics, vol. 325
(February, 2018),
pp. 3455 [doi] [abs]
 Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y, On the FiniteTime Blowup of a OneDimensional Model for the ThreeDimensional Axisymmetric Euler Equations,
Communications on Pure and Applied Mathematics, vol. 70 no. 11
(November, 2017),
pp. 22182243 [doi]
 Kiselev, A; Yao, Y; Zlatoš, A, Local Regularity for the Modified SQG Patch Equation,
Communications on Pure and Applied Mathematics, vol. 70 no. 7
(July, 2017),
pp. 12531315 [doi]
 Kiselev, A; Ryzhik, L; Yao, Y; Zlatoš, A, Finite time singularity for the modified SQG patch equation,
Annals of Mathematics, vol. 184 no. 3
(November, 2016),
pp. 909948 [doi]
 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

