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Leonid Prigozhin Department of Solar
Energy and Environmental Physics and Department
of Mathematics, BGU E-mail: leonid@math.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.
Recent presentations:
2012 Electric field formulation for thin film
magnetization problems
2011 Computing AC losses in stacks of superconducting tapes
2008 Partial L1 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 Barrett J. W. and Prigozhin L. Electric field formulation for thin film
magnetization problems. [pdf]
Submitted
o Barrett J. W. and Prigozhin L. A quasi-variational inequality problem arising
in the modeling of growing sandpiles. [pdf] Submitted
o Spektor M., Meerovich V., Sokolovsky V. and Prigozhin L. AC
losses in thin coated conductors under non-sinusoidal conditions. [pdf] Supercond. Science and
Technology, 2012, v. 25, 025008.
o Prigozhin L. and Sokolovsky V.
Computing AC losses in stacks of high-temperature superconducting tapes. [pdf],
Supercond. Science and
Technology, 2011, v. 24, 075012.
o Sokolovsky V., Prigozhin L.,
Dikovsky V. Meissner
transport current in flat films of arbitrary shape and magnetic trap for cold
atoms. [pdf] Supercond. Science
and Technology, 2010, v. 23, 065003.
o Barrett J. W. and Prigozhin L. A
quasi-variational inequality problem in superconductivity. [pdf] Mathematical Models and
Methods in Applied Sciences (M3AS), 2010, v. 20, 679-706.
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 L1 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 Swartz J.P, McCulloch M.D., Pecher
R., Prigozhin L., Vanderbemden
Ph., Chapman S.J. Critical state modeling of crossed field demagnetization in
HTS materials. [pdf] in: Applied Superconductivity 2003
(Proceedings of 6th EUCAS, Eds. Adreone A.et
al., 2003), pp. 859-866.
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. [pdf] 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 adsorption 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.