Alexander A. Kiselev
- William T. Laprade Distinguished Professor of Mathematics
- Professor of Mathematics
Research Areas and Keywords
Fourier analysis, functional analysis
Chemotaxis, enhancement of biological reactions
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.
Christ, M., et al. “The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials.” Mathematical Research Letters, vol. 4, no. 5, Jan. 1997, pp. 719–23. Scopus, doi:10.4310/MRL.1997.v4.n5.a9. Full Text
Kiselev, A. “Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials.” Communications in Mathematical Physics, vol. 179, no. 2, Jan. 1996, pp. 377–99.
Kiselev, A. A., and I. Y. Popov. “Indefinite metric and scattering by a domain with a small hole.” Mathematical Notes, vol. 58, no. 6, Jan. 1995, pp. 1276–85. Scopus, doi:10.1007/BF02304886. Full Text
Kiselev, A., and B. Simon. “Rank one perturbations with infinitesimal coupling.” Journal of Functional Analysis, vol. 130, no. 2, Jan. 1995, pp. 345–56. Scopus, doi:10.1006/jfan.1995.1074. Full Text
Kiselev, Alexander, and Lenya Ryzhik. A simple model for asset price bubble formation and collapse.
Choi, Kyudong, et al. On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations.
Kiselev, Alexander, and Hang Yang. “Analysis of a Singular Boussinesq Model.” Research in the Mathematical Sciences, vol. 6, Springer Verlag.
He, Siming, and Alexander Kiselev. Small scale creation for solutions of the SQG equation.