Alexander A. Kiselev
- Professor of Mathematics
Research Areas and Keywords
PDE & Dynamical Systems
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.
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
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
Iyer, G, Kiselev, A, and Xu, X. "Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows." Nonlinearity 27.5 (May 1, 2014): 973-985. Full Text