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] 2023,
submitted
o Sokolovsky V. and Prigozhin L., HTS
dynamo flux pump: The impact of a ferromagnetic stator substrate [pdf] 2023, submitted
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.