Alexander A. Kiselev

Alexander A. Kiselev
  • William T. Laprade Professor of Mathematics
  • Professor of Mathematics

Research Areas and Keywords

Analysis
Fourier analysis, functional analysis
Biological Modeling
Chemotaxis, enhancement of biological reactions
Mathematical Physics
Spectral theory, Schrodinger operators
PDE & Dynamical Systems
Fluid mechanics, Euler equation, surface quasi-geostrophic equation, singularity formation, small scale creation, mixing efficiency

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. 

Education & Training
  • Ph.D., California Institute of Technology 1997

Fellowships, Supported Research, & Other Grants

Regularity, Blow UP, and Mixing in Fluids awarded by NSF (2017 to 2020)

Topics in Applied PDE awarded by NSF (2014 to 2018)

Do, T, Kiselev, A, Ryzhik, L, and Tan, C. "Global Regularity for the Fractional Euler Alignment System." Archive for Rational Mechanics and Analysis 228.1 (April 2018): 1-37. Full Text Open Access Copy

Kiselev, A, and Tan, C. "Finite time blow up in the hyperbolic Boussinesq system." Advances in Mathematics 325 (February 5, 2018): 34-55. Full Text

Choi, K, Hou, TY, Kiselev, A, Luo, G, Sverak, V, and Yao, Y. "On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations." Communications on Pure and Applied Mathematics 70.11 (November 2017): 2218-2243. Full Text

Kiselev, A, Yao, Y, and Zlatoš, A. "Local Regularity for the Modified SQG Patch Equation." Communications on Pure and Applied Mathematics 70.7 (July 2017): 1253-1315. Full Text

Kiselev, A, Ryzhik, L, Yao, Y, and Zlatoš, A. "Finite time singularity for the modified SQG patch equation." Annals of Mathematics 184.3 (November 1, 2016): 909-948. Full Text

Kiselev, A, and Xu, X. "Suppression of Chemotactic Explosion by Mixing." Archive for Rational Mechanics and Analysis 222.2 (November 2016): 1077-1112. Full Text

Popov, I, Kurasov, P, Naboko, S, Kiselev, A, Ryzhkov, A, Yafyasov, A, Miroshnichenko, G, Karpeshina, Y, Kruglov, V, Pankratova, T, and Popov, A. "A distinguished mathematical physicist Boris S. Pavlov." Nanosystems: Physics, Chemistry, Mathematics (October 25, 2016): 782-788. Full Text

Kiselev, A, and Zlatoš, A. "Blow up for the 2D Euler equation on some bounded domains." Journal of Differential Equations 259.7 (October 2015): 3490-3494. Full Text

Choi, K, Kiselev, A, and Yao, Y. "Finite Time Blow Up for a 1D Model of 2D Boussinesq System." Communications in Mathematical Physics 334.3 (March 2015): 1667-1679. Full Text

Kiselev, A, and Šverák, V. "Small scale creation for solutions of the incompressible two-dimensional Euler equation." Annals of Mathematics (November 1, 2014): 1205-1220. Full Text

Pages

Kiselev Reed Tarokh

Only ten professors were named Distinguished Professors this year in the Trinity College of Arts and Sciences.  This distinction is given to professors for their outstanding research and teaching accomplishments.  We are proud to announce that three... read more »