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Leonid
Prigozhin Department of Solar
Energy and Environmental Physics and Department
of Mathematics, BGU E-mail: leonid@cs.bgu.ac.il |
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Research interests:
mathematical modeling,
variational and free boundary problems, numerical methods;
granular mechanics and
aeolian sand transport, applied superconductivity, optimal transportation.
Presentations:
2008 Partial L^1 Monge-Kantorovich problem
2007 Variational
model for sand surface dynamics
2005
Dual formulation for critical-state models and solution
of Monge-Kantorovich equations
Publications and preprints:
o
Sokolovsky
V., Prigozhin L., Dikovsky V. Meissner transport current in flat films of
arbitrary shape and magnetic trap for cold atoms. [pdf] submitted.
o
Barrett
J. W. and Prigozhin L. A
quasi-variational inequality problem in superconductivity. [pdf] Mathematical Models and Methods in Applied
Sciences (M3AS), to appear.
o
Manukyan
E. and Prigozhin L. Formation of aeolian ripples and sand sorting. [pdf]
Phys. Rev. E , 2009, v. 79, art.
no. 031303.
o
Barrett
J. W. and Prigozhin L. Partial L^1 Monge-Kantorovich problem: Variational
formulation and numerical approximation. [ps] Interfaces and Free
Boundaries, 2009, v. 11, pp. 201-238.
o
Barrett
J. W. and Prigozhin L. A mixed formulation of the Monge-Kantorovich equations. [pdf]
Mathematical Modelling and Numerical Analysis (M2AN), 2007, v. 41, pp.
1041-1060.
o
Barrett
J. W. and Prigozhin L. Dual formulations in critical-state problems. [pdf] Interfaces and Free Boundaries, 2006, v. 8, pp. 347-368.
o
Barrett
J. W. and Prigozhin L. Sandpiles and
superconductors: dual formulations for critical-state problems [pdf],
o
Meerovich
V., Sokolovsky V., Prigozhin L., Rozman D. Dynamic response of HTS composite
tapes to pulsed currents. [pdf]
Supercond. Science and Technology, 2006, v. 19, pp. 267-275.
o
Prigozhin
L. Solutions to Monge-Kantorovich equations as stationary points of a dynamical
system, 2005. arXiv:math.OC/0507330 [pdf].
o
Sokolovsky
V., Prigozhin L. and Meerovich V. Penetration of spatially nonuniform
alternating magnetic field into type-II superconductors. [pdf] Physica C,
2004, v. 408-410, pp. 645-646.
o
Prigozhin
L. and Sokolovsky V. AC losses in type-II superconductors induced by nonuniform
fluctuations of external magnetic field. [pdf] IEEE Trans. on
Applied Superconductivity, 2004, v. 14, pp. 69-81.
o
Prigozhin
L. Variational inequalities in critical-state problems. [pdf]. Physica D,
2004, v. 167, pp. 197-210.
o
Prigozhin
L. and Zaltzman B. On the approximation of the dynamics of sandpile surfaces. [pdf] Portugaliae Mathematica, 2003, v.60, n.2.
o
Prigozhin
L. and Zaltzman B. Two continuous models for the dynamics of sandpile surfaces.
[pdf] Phys. Rev. E., 2001, v. 63, art. no. 041505.
o
Barrett
J. W. and Prigozhin L. Bean's model as the p --> infinity limit of
evolutionary p-Laplacian equations. [ps] Nonlinear Analysis, 2000, v. 42, pp. 977-993.
o
Prigozhin
L. Nonlinear dynamics of Aeolian sand ripples. [pdf]
Phys. Rev. E, 1999, v. 60, pp. 729-733.
o
Prigozhin
L. Solution of thin film magnetization problems in superconductivity. [pdf] J. Comp. Phys., 1998, v. 144, pp. 180-193.
o
Prigozhin
L. and Kalman H. Radial mixing and segregation of a binary mixture in a
rotating drum: Model and experiment. [pdf] Phys. Rev. E, 1998, v. 57, pp. 2073-2080.
o
Prigozhin
L. Analysis of critical state problems in type-II superconductivity. [pdf] IEEE Trans. on Applied Superconductivity,
1997, v. 7, No. 4, pp. 3866-3873.
o
Prigozhin
L. The Bean model in superconductivity: Variational formulation and numerical
solution.[pdf] J. Comp. Phys., 1996, v. 129, 190-200.
o
Prigozhin
L. On the Bean critical-state model in superconductivity. [pdf] Euro. J.
Appl. Math., 1996, v. 7, pp. 237-248.
o
Prigozhin
L. Variational model of sandpile growth.
[pdf] Euro.
J. Appl. Math., 1996, v. 7, pp. 225-236.
o
Prigozhin
L. Sandpiles, river networks, and type-II superconductors. [pdf] Free Boundary Problems News, 1996, No. 10,
pp. 2-4.
o
Prigozhin
L. Sandpiles and river networks: extended systems with non-local interactions. [pdf] Phys. Rev. E, 1994, v. 49, pp. 1161-1167.
o
Prigozhin
L. A variational problem of bulk solids mechanics and free-surface segregation.
[pdf]
Chemical Engineering Science, 1993, v. 48, pp. 3647-3656.
o
Mochalov
I.A. and Prigozhin L. B. Variational problem of measurements optimization in
identification and control algorithms. Kibernetika, 1987, No. 9, pp. 498-514.
o
Kazakevich
V.V., Mochalov I.A., and Prigozhin L.B. Measurements optimization for
accelerated algorithms of extremum seeking in control systems. Avtomatika i
Telemekhanika, 1986, No.9, pp. 60-69.
o
Prigozhin
L.B. Quasivariational inequality describing the shape of a poured pile. Zhurnal
Vichislitel'noy Matematiki i Matematicheskoy Fiziki, 1986, No.7, pp. 1072-1080.
o
Prigozhin
L.B. and Zolotarev P.P. On non-stationary stage of binary solution evaporation
into vacuum. Zhurnal Fizicheskoy Khimii, 1986,
v.60, pp. 690-692.
o
Prigozhin
L.B. and Zolotarev P.P. Finite element solution of adsorbtion problem with a
singularity on the free boundary.
Chislenniye Metodi Mekhaniki Sploshnoy Sredi, 1984, v.15, No.3, pp.
125-136.
o
Prigozhin
L.B. Dispersion of solute in a pulsating fluid flow. Proceedings of Academia of
o
Prigozhin
L.B. and Bulgach A.A. Numerical solution of one-dimensional Stefan problems in
heat conduction and diffusion.
Chislenniye Metodi Mekhaniki Sploshnoy Sredi, 1981, v.12, No. 2, pp.
71-83.
o
Prigozhin
L.B. and Tolkachev V.M. Computation of glass sheet deformations at bending. -
Prikladniye Problemi Prochnosti i Plastichnosti, 1977, No.7, pp. 109-116.
o
Prigozhin
L.B. Solution of heat balance equations for multipass heat exchangers. -
Inzhenerno-Phizicheskiy Zhurnal, 1977, v. 32, No. 3, pp. 543-544.
o
Poltavtseva
L.L. and Prigozhin L.B. Computer simulation of heat exchangers. - Montazh i
Naladka Sredstv Avtomatizatsii i Sviazi, 1976, ser. 8, No. 2(88), pp. 15-20.