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, ferromagnetism, optimal
transportation.
Recent presentations:
2017 Scaling in
modeling sand surface evolution
2016 Four lectures at Lanzhou University:
Intro
to variational inequalities Two
models for sand surface evolution Thin
film problems in superconductivity
Energybased
variational model for vector magnetic hysteresis
2013 Thin film problems
in superconductivity Modeling the
superconductorbased magnetic traps for ultracold atoms
2012 Lakes and rivers in
the landscape: A quasivariational inequality approach 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 Prigozhin L. and Sokolovsky V. 3D
simulation of superconducting magnetic shields and lenses using the fast
Fourier transform [pdf]
arXiv:1803.01346 (2018).
o Prigozhin L. and Sokolovsky
V. FFTbased solution of 2D and 3D
magnetization problems in typeII superconductivity. [pdf] Supercond.
Science and Technology, 31 (2018)
055018.
o AbuRjal R, Prigozhin L.,
Rubinstein I. and Zaltzman B. Equilibrium electroconvective instability in
concentration polarization: The effect of nonequal ionic diffusivities and
longitudinal flow [pdf] Russian
Journal of Electrochemistry, 53 (2017) No. 9, pp. 903–918.
o Prigozhin L., Sokolovsky V.,
Barrett J.W. and Zirka S.E. On the energybased variational model for vector
magnetic hysteresis [pdf] IEEE
Trans. Magnetics 52 (2016) 7301211.
o Sokolovsky V. and Prigozhin L.,
Lattices of ultracold atom traps over arrays of nano and mesoscopic
superconducting disks [pdf] J. Phys.
D: Appl. Phys. 49 (2016) 165006.
o AbuRjal R, Prigozhin L.,
Rubinstein I. and Zaltzman B. Teorell instability in concentration
polarization. [pdf]
Phys. Rev. E, 2015, v. 92, 022305.
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, 2015, v. 35, pp. 138.
o Sokolovsky V., Prigozhin L. and
Barrett J. W. 3D modeling of magnetic atom traps on typeII superconductor
chips. [pdf]
Supercond. Science and Technology, 2014,
v. 27, 124004.
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. [pdf] 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
Pecher, R., McCulloch, M.D., Chapman, S.J.,
Prigozhin, L. and Elliott, C.M. 3Dmodelling of bulk typeII superconductors
using unconstrained Hformulation.
2003
(Proceedings of 6^{th} EUCAS, Eds. Adreone A.et al., 2003)
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.