Alexander A. Kiselev
- William T. Laprade Professor of Mathematics
- 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.
Regularity, blow up and mixing in fluids awarded by National Science Foundation (Principal Investigator). 2018 to 2020
Kiselev, A., and C. Li. “Global regularity and fast small-scale formation for Euler patch equation in a smooth domain.” Communications in Partial Differential Equations, vol. 44, no. 4, Apr. 2019, pp. 279–308. Scopus, doi:10.1080/03605302.2018.1546318. Full Text
Do, T., et al. “Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation.” Journal of Nonlinear Science, vol. 28, no. 6, Dec. 2018, pp. 2127–52. Scopus, doi:10.1007/s00332-016-9340-7. Full Text
Kiselev, A. “Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics.” Journal of Nonlinear Science, vol. 28, no. 6, Dec. 2018, pp. 2047–50. Scopus, doi:10.1007/s00332-018-9452-3. Full Text
Do, T., et al. “Global Regularity for the Fractional Euler Alignment System.” Archive for Rational Mechanics and Analysis, vol. 228, no. 1, Apr. 2018. Scopus, doi:10.1007/s00205-017-1184-2. Full Text Open Access Copy
Kiselev, A., and C. Tan. “Finite time blow up in the hyperbolic Boussinesq system.” Advances in Mathematics, vol. 325, Feb. 2018, pp. 34–55. Scopus, doi:10.1016/j.aim.2017.11.019. Full Text
Kiselev, A., and C. Tan. “Global regularity for 1D eulerian dynamics with singular interaction forces.” Siam Journal on Mathematical Analysis, vol. 50, no. 6, Jan. 2018, pp. 6208–29. Scopus, doi:10.1137/17M1141515. Full Text Open Access Copy
Choi, K., et al. “On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations.” Communications on Pure and Applied Mathematics, vol. 70, no. 11, Nov. 2017, pp. 2218–43. Scopus, doi:10.1002/cpa.21697. Full Text
Kiselev, A., et al. “Local Regularity for the Modified SQG Patch Equation.” Communications on Pure and Applied Mathematics, vol. 70, no. 7, July 2017, pp. 1253–315. Scopus, doi:10.1002/cpa.21677. Full Text
Kiselev, A., and X. Xu. “Suppression of Chemotactic Explosion by Mixing.” Archive for Rational Mechanics and Analysis, vol. 222, no. 2, Nov. 2016, pp. 1077–112. Scopus, doi:10.1007/s00205-016-1017-8. Full Text
Popov, I. Y., et al. “A distinguished mathematical physicist Boris S. Pavlov.” Nanosystems: Physics, Chemistry, Mathematics, ITMO University, Oct. 2016, pp. 782–88. Crossref, doi:10.17586/2220-8054-2016-7-5-782-788. Full Text
Kiselev, Alexander. “Some recent results on the critical surface quasi-geostrophic equation: A review.” Hyperbolic Problems: Theory, Numerics and Applications, Part 1, edited by E. Tadmor et al., vol. 67, AMER MATHEMATICAL SOC, 2009, pp. 105–22.
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