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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 Lakes and rivers in
the landscape: A quasi-variational inequality approach
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., Prigozhin L. and Sokolovsky V. Transport current and magnetization problems for
thin type-II superconducting films. [pdf] Submitted
o Barrett J. W. and Prigozhin L.
Existence and approximation of a mixed formulation for thin film magnetization
problems in superconductivity. [pdf]
Submitted
o Barrett J. W. and Prigozhin L.
Electric field formulation for thin film magnetization problems. [pdf]
Supercond. Science and Technology, 2012, v. 25, 104002 (featured article).
o
Barrett J. W. and Prigozhin L. A quasi-variational inequality problem
arising in the modeling of growing sandpiles. [pdf]
ESAIM: Mathematical Modelling and Numerical Analysis
(M2AN), to appear.
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 a 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] ESAIM: 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], 2006, in: International
Federation for Information Processing, v. 202, "Systems, Control, Modeling
and Optimization", eds. Ceragioli, F., Dontchev, A., Furuta, H., Marti,
K, Pandolfi, L. (Boston: Springer), pp. 25-29.
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. Solute dispersion
in a pulsating fluid flow. [pdf] Proceedings
of Academia of Science, USSR, ser. Mekhanika Zhidkosti
i Gaza, 1982, No.5, pp. 24-30.
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.
