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.
Denisov, Sergey A., and Alexander Kiselev. “Spectral properties of schrodinger operators with decaying potentials.” Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’S 60th Birthday, edited by F. Gesztesy et al., vol. 76, AMER MATHEMATICAL SOC, Jan. 2007, pp. 565–89.
Andrzejewski, David, et al. “Enhancement of combustion by drift in a coupled reaction-diffusion model.” Communications in Mathematical Sciences, vol. 4, no. 1, International Press of Boston, 2006, pp. 213–25. Crossref, doi:10.4310/cms.2006.v4.n1.a8. Full Text
Berestycki, H., et al. “Quenching and propagation in KPP reaction-diffusion equations with a heat loss.” Archive for Rational Mechanics and Analysis, vol. 178, no. 1, Oct. 2005, pp. 57–80. Scopus, doi:10.1007/s00205-005-0367-4. Full Text
Kiselev, A., and A. Zlatoš. “On discrete models of the Euler equation.” International Mathematics Research Notices, no. 38, Aug. 2005, pp. 2315–39.
Kiselev, A. “Imbedded singular continuous spectrum for Schrödinger operators.” Journal of the American Mathematical Society, vol. 18, no. 3, July 2005, pp. 571–603. Scopus, doi:10.1090/S0894-0347-05-00489-3. Full Text
Germinet, François, et al. “Transfer matrices and transport for Schrödinger operators.” Annales De L’Institut Fourier, vol. 54, no. 3, Cellule MathDoc/CEDRAM, 2004, pp. 787–830. Crossref, doi:10.5802/aif.2034. Full Text
Constantin, P., et al. “Fronts in Reactive Convection: Bounds, Stability, and Instability.” Communications on Pure and Applied Mathematics, vol. 56, no. 12, Dec. 2003, pp. 1781–803. Scopus, doi:10.1002/cpa.10110. Full Text
Killip, R., et al. “Dynamical upper bounds on wavepacket spreading.” American Journal of Mathematics, vol. 125, no. 5, Oct. 2003, pp. 1165–98.