Leonid Prigozhin The Swiss
Institute for Dryland Environmental and Energy
Research
and Department of Mathematics,
BGU Email: leonid@math.bgu.ac.il 

Research interests:
mathematical modeling,
variational and free boundary problems, numerical methods;
granular mechanics and aeolian sand transport, applied superconductivity, optimal
transportation.
Recent presentations:
2013 Thin film problems in superconductivity
2013 Modeling the superconductorbased magnetic traps for
ultracold atoms
2012 Lakes and rivers in
the landscape: A quasivariational inequality approach
2012 Electric field
formulation for thin film magnetization problems
2011 Computing AC losses in
stacks of superconducting tapes
2008 Partial L_{1}
MongeKantorovich problem
2007 Variational model
for sand surface dynamics
2005 Dual formulation for
criticalstate models and solution of MongeKantorovich
equations
Publications and preprints:
o Sokolovsky V., Prigozhin L. and Barrett J. W. 3D modeling of
magnetic atom traps on typeII superconductor chips. [pdf]
submitted.
o Barrett J. W. and Prigozhin L. Sandpiles and superconductors: Nonconforming linear finite element
approximations for mixed formulations of quasivariational inequalities. [pdf] IMA J. of Numerical Analysis, accepted.
o Barrett J. W. and Prigozhin L.
Existence and approximation of a mixed formulation for thin film magnetization
problems in superconductivity. [pdf]
Mathematical Models and Methods in Applied Sciences (M3AS), 2014, v. 24, pp.
9911015.
o Barrett J. W. and Prigozhin L.
Lakes and rivers in the landscape: A quasivariational inequality approach. [pdf] Interfaces and Free Boundaries, 2014, v. 16,
269296.
o Barrett J. W., Prigozhin L. and Sokolovsky V. Transport current and magnetization problems
for thin typeII superconducting films. [pdf] Supercond. Science and
Technology, 2013, v. 26, 105009.
o
Barrett J. W. and Prigozhin L. A quasivariational inequality problem
arising in the modeling of growing sandpiles. [pdf] ESAIM:
Mathematical Modelling and Numerical Analysis (M2AN), 2013, v. 47, pp. 11331165.
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 Spektor M., Meerovich V., Sokolovsky
V. and Prigozhin L. AC losses in thin coated conductors under
nonsinusoidal conditions. [pdf] Supercond. Science and
Technology, 2012, v. 25, 025008.
o Prigozhin L. and Sokolovsky V. Computing AC losses in stacks of
hightemperature 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 quasivariational inequality
problem in superconductivity. [pdf] Mathematical
Models and Methods in Applied Sciences (M3AS), 2010, v. 20, 679706.
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} MongeKantorovich problem:
Variational formulation and numerical approximation. [ps] Interfaces and Free
Boundaries, 2009, v. 11, pp. 201238.
o Barrett J. W. and Prigozhin L. A
mixed formulation of the MongeKantorovich equations.
[pdf] ESAIM: Mathematical Modelling and Numerical
Analysis (M2AN), 2007, v. 41, pp. 10411060.
o Barrett J. W. and Prigozhin L.
Dual formulations in criticalstate problems. [pdf] Interfaces and Free Boundaries, 2006, v. 8, pp. 347368.
o Barrett J. W. and Prigozhin
L. Sandpiles
and superconductors: dual formulations for criticalstate 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. 2529.
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. 267275.
o Prigozhin L. Solutions to MongeKantorovich 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
typeII superconductors. [pdf] Physica C, 2004, v. 408410, pp. 645646.
o Prigozhin L. and Sokolovsky V. AC losses in typeII superconductors induced
by nonuniform fluctuations of external magnetic
field. [pdf] IEEE
Trans. on Applied Superconductivity, 2004, v. 14, pp. 6981.
o Prigozhin L. Variational
inequalities in criticalstate problems. [pdf].
Physica D, 2004, v. 167, pp. 197210.
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 6^{th} EUCAS, Eds. Adreone A.et
al., 2003), pp. 859866.
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 pLaplacian equations. [ps] Nonlinear Analysis, 2000, v. 42, pp. 977993.
o Prigozhin L. Nonlinear dynamics
of Aeolian sand ripples. [pdf]
Phys. Rev. E, 1999, v. 60, pp. 729733.
o Prigozhin L. Solution of thin
film magnetization problems in superconductivity. [pdf] J. Comp. Phys., 1998, v. 144, pp. 180193.
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. 20732080.
o Prigozhin L. Analysis of critical
state problems in typeII 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, 190200.
o Prigozhin L. On the Bean
criticalstate model in superconductivity.
[pdf] Euro.
J. Appl. Math., 1996, v. 7, pp. 237248.
o
Prigozhin L. Variational model of sandpile
growth. [pdf] Euro. J. Appl.
Math., 1996, v. 7, pp. 225236.
o Prigozhin L. Sandpiles,
river networks, and typeII superconductors. [pdf] Free Boundary Problems News, 1996, No. 10,
pp. 24.
o Prigozhin L. Sandpiles
and river networks: extended systems with nonlocal interactions. [pdf] Phys. Rev. E, 1994, v. 49, pp. 11611167.
o Prigozhin L. A variational
problem of bulk solids mechanics and freesurface 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. 498514.
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. 6069.
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. 10721080.
o Prigozhin L.B. and Zolotarev P.P. On nonstationary stage of binary solution
evaporation into vacuum. Zhurnal Fizicheskoy
Khimii, 1986,
v.60, pp. 690692.
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. 125136.
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. 2430.
o Prigozhin L.B. and Bulgach A.A. Numerical solution of onedimensional Stefan
problems in heat conduction and diffusion.
Chislenniye Metodi Mekhaniki Sploshnoy Sredi, 1981, v.12, No. 2, pp. 7183.
o Prigozhin L.B. and Tolkachev V.M. Computation of glass sheet deformations at
bending.  Prikladniye Problemi
Prochnosti i Plastichnosti, 1977, No.7, pp. 109116.
o Prigozhin L.B. Solution of heat
balance equations for multipass heat exchangers.  InzhenernoPhizicheskiy Zhurnal,
1977, v. 32, No. 3, pp. 543544.
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. 1520.