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 2022):
 MATH 431.01, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 259, TuTh 01:45 PM03:00 PM
 MATH 431.02, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 235, TuTh 10:15 AM11:30 AM
 MATH 731.01, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 259, TuTh 01:45 PM03:00 PM
 MATH 731.02, INTRODUCTION TO REAL ANALYSIS
Synopsis
 Physics 235, TuTh 10:15 AM11:30 AM
 Education:
Ph.D.  California Institute of Technology  1997 
 Keywords:
BiologyMathematical models • Fluid mechanics • Reactiondiffusion equations • Spectral theory (Mathematics)
 Recent Publications
(More Publications)
 Kiselev, A; Luo, X, On nonexistence of splash singularities for the $α$SQG patches
(November, 2021) [abs]
 He, S; Kiselev, A, Boundary layer models of the HouLuo scenario,
Journal of Differential Equations, vol. 298
(October, 2021),
pp. 182204 [doi] [abs]
 Kiselev, A; Yao, Y, Small scale formations in the incompressible porous media equation
(February, 2021) [abs]
 He, S; Kiselev, A, Smallscale creation for solutions of the sqg equation,
Duke Mathematical Journal, vol. 170 no. 5
(January, 2021),
pp. 10271041, Duke University Press [doi] [abs]
 Kiselev, A; Nazarov, F; Ryzhik, L; Yao, Y, Chemotaxis and Reactions in Biology
(April, 2020) [abs]
 Recent Grant Support
 RTG: Training Tomorrow's Workforce in Analysis and Applications, National Science Foundation, 2021/072026/06.
 Small Scale and Singularity Formation in Fluids, National Science Foundation, 2020/072023/06.
 Small Scale and Singularity Formation in Fluid Mechanics and Biology, Simons Foundation, 2020/062022/08.
 Regularity, blow up and mixing in fluids, National Science Foundation, 2018/072022/06.


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

