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:
2023 Thin shell model of a coated conductor with
a ferromagnetic substrate
2022 Spectral
method for inhomogeneous strip problems and magnetic flux pump modeling
2021 3D
stack magnetization problems
2018 FFTbased solution
of 3D problems in typeII superconductivity
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. Magnetization of flat superconducting films
on ferromagnetic substrates [pdf] IEEE Trans. Magnetics, 60 (2024)
9000310.
o Sokolovsky V. and Prigozhin L.,
HTS dynamo flux pump: The impact of a ferromagnetic stator substrate [pdf] IEEE
Trans. Applied Superconductivity, 34 (2024)
6602206.
o Prigozhin L. and Sokolovsky V. Thin shell model of a coated conductor with a
ferromagnetic substrate [pdf] IEEE Trans. Applied
Superconductivity 33 (2023) 6601310.
o Sokolovsky V. and Prigozhin L.,
HermiteChebyshev pseudospectral method for
inhomogeneous superconducting strip problems and magnetic flux pump modeling [pdf] Supercond. Sci. Technol. 35 (2022) 024002.
o Prigozhin L. and Sokolovsky V. Twodimensional
model of a highTc superconducting dynamo [pdf] IEEE
Trans. Applied Superconductivity 31 (2021) 065006.
o Prigozhin L. and Sokolovsky V. Fast solution of
the superconducting dynamo benchmark problem [pdf] Supercond. Science and Technology 34 (2021) 085008.
o Sokolovsky V., Prigozhin L., Kozyrev A.B.
Chebyshev spectral method for superconductivity problems [pdf] Supercond. Science and Technology 33 (2020) 085008.
o Prigozhin L. and Sokolovsky V.
3D magnetization problems in superconductivity:
Solution by the FFTbased method [pdf] WSEAS Trans. on
Circuits and Systems 18, art. 32 (2019), a conference paper.
o F. Tosto, P.B. Swe, N.T. Nguyen, C. Hufnagel,
M.M. Valado, L. Prigozhin, V. Sokolovsky, R. Dumke. Optically tailored trapping
geometries for ultracold atoms on a typeII superconducting chip [pdf]
Applied Phys. Lett. 114, 222601 (2019).
o Prigozhin L. and Sokolovsky
V. Solution of 3D magnetization problems
for superconducting film stacks [pdf] Supercond. Science and Technology 31 (2018) 125001.
o Prigozhin L. and Sokolovsky V. 3D
simulation of superconducting magnetic shields and lenses using the fast
Fourier transform [pdf] J.
Applied Phys. 123 (2018) 233901.
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.
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.