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I have finished my Ph.D. in Applied Mathematics
Under the supervision of Prof. Edriss S. Titi I'm interested in non-linear PDEs, and the mathematical theory of fluid dynamics and turbulence |
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| E-mail: | boris.levant AT weizmann.ac.il | |
| Office: | Ziskind, 301 (see the map, no. 24) | |
| Phone: | +972-8-9342761 (office) | |
| Fax: | +972-8-9342945 | |
A few things about me
Academic CVList of publications
Publications
B. Levant, "Analytical and Numerical Study of Certain Models of Turbulence", Ph.D. Thesis (2009).
B. Levant, F. Ramos, E. S. Titi, "On the effect of the inviscid regularization on the structure functions spectra of the Sabra shell models of turbulence", Comm. in Math. Sciences, to appear.
V. Kalantarov, B. Levant, E. S. Titi, "Gevrey regularity of the global attractor of the 3D
Navier-Stokes-Voight equations", J. Nonlin. Science, 19 (2) (2009), 133-152.
R. Benzi, B. Levant, I. Procaccia, E. S. Titi, "Statistical properties of nonlinear shell models of turbulence from linear advection models: rigorous results", Nonlinearity, 20 (2007), 1431-1441.
P. Constantin, B. Levant, E. S. Titi, "Sharp lower bounds for the dimension of the global attractor of the Sabra shell model of turbulence", J. Stat. Phys., 127 (2007), 1173-1192.
P. Constantin, B. Levant, E. S. Titi, "Regularity of inviscid shell models of turbulence", Phys. Rev. E. 75 (1) (2007).
P. Constantin, B. Levant, E. S. Titi, "Analytic study of shell models of turbulence", Physica D 219 (2006), 120-141.
B. Levant, "Euclidean sections of the cross-polytope", MSc Thesis under the supervision of Prof. Gideon Schechtman, March 2004.
Lectures and presentations
"Shell models as phenomenological models of turbulence", May 20, 2008, MAS Seminar, Centrum Wiskunde & Informatica (CWI), Amsterdam, Holland."On a new inviscid regularization of the 3D Navier-Stokes and Euler equations", July 22-28, 2007, The Darryl D. Holm Fest , Centre Bernoulli of the Ecole Polytechnique Federale de Lausanne, Switzerland.
"Shell models as phenomenological models of turbulence: theory and computations", June 14, 2007, The Seventh Israeli Applied and Computational Math Mini-Workshop, Weizmann Institute of Science, Rehovot, Israel.
"A short review of the study of the Sabra shell model of turbulence", Dec. 2006, Perspectives in fluid dynamics conference, Centre Bernoulli of the Ecole Polytechnique Federale de Lausanne, Switzerland.
"Periodic Wave Patterns of 2-dimensional Boussinesq Systems", Oct. 2005, Physbio 2005 project under supervision of prof. Gerard Iooss, St. Etienne de Tinee, France.
"Energy and Enstrophy Cascades in the Fully Developed Two-Dimensional Turbulence", Aug. 2005, Weizmann Institute of Science.
"Upper bounds for dimension of the global attractor for dissipative dynamical systems with applications to turbulence models", Feb. 2005, Dynamical Systems group meeting, Weizmann Institute of Science.
"Inertial Manifolds for Dissipative Non-Linear Equations", June 2004, Dynamical Systems group meeting, Weizmann Institute of Science
Lecture notes
Lecture notes of the course "Topics in the Local Theory of Normed Spaces" by prof. Gideon Schechtman
Other links
Links to lecture notes on different subjects.
Faculty of Computer Science and Applied Mathematics