Math @ Duke
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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 reaction-diffusion equations and spectral theory of Schredinger operators. - Contact Info:
Teaching (Spring 2024):
- MATH 690-32.01, TOPICS IN ANALYSIS
Synopsis
- Physics 227, 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)
- Gong, Y; Kiselev, A, A simple reaction-diffusion system as a possible model for the origin of chemotaxis.,
Journal of Biological Dynamics, vol. 17 no. 1
(December, 2023),
pp. 2260833 [doi] [abs]
- Kiselev, A; Luo, X, Illposedness of C2 Vortex Patches,
Archive for Rational Mechanics and Analysis, vol. 247 no. 3
(June, 2023) [doi] [abs]
- Kiselev, A; Luo, X, On Nonexistence of Splash Singularities for the α -SQG Patches,
Journal of Nonlinear Science, vol. 33 no. 2
(April, 2023) [doi] [abs]
- Kiselev, A; Yao, Y, Small Scale Formations in the Incompressible Porous Media Equation,
Archive for Rational Mechanics and Analysis, vol. 247 no. 1
(February, 2023) [doi] [abs]
- Kiselev, A; Nazarov, F; Ryzhik, L; Yao, Y, Chemotaxis and reactions in biology,
Journal of the European Mathematical Society, vol. 25 no. 7
(January, 2023),
pp. 2641-2696 [doi] [abs]
- Recent Grant Support
- Small Scale and Singularity Formation in Fluids, National Science Foundation, 2023/07-2026/06.
- RTG: Training Tomorrow's Workforce in Analysis and Applications, National Science Foundation, 2021/07-2026/06.
- Small Scale and Singularity Formation in Fluids, National Science Foundation, 2020/07-2023/06.
- Small Scale and Singularity Formation in Fluid Mechanics and Biology, Simons Foundation, 2020/06-2022/08.
- Regularity, blow up and mixing in fluids, National Science Foundation, 2018/07-2022/06.
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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