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Leonid Prigozhin The Swiss
Institute for Dryland Environmental and Energy Research
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, 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
FFT-based
solution of 3D problems in type-II 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
Energy-based
variational model for vector magnetic hysteresis
2013
Thin
film problems in superconductivity
Modeling
the superconductor-based magnetic traps for ultra-cold atoms
2012
Lakes and
rivers in the landscape: A quasi-variational inequality approach 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
Prigozhin L. and Sokolovsky V. T-E formulation-based modeling of thin
HTS shell magnetization [pdf] (submitted) 2026.
o Prigozhin L. and
Sokolovsky V. Spectral solution of axisymmetric magnetization
problems for thin superconducting shells [pdf] IEEE Trans. Applied Superconductivity (to
appear) 2026.
o Sokolovsky
V. and Prigozhin L., Electromagnetic analysis of coated
conductors with ferromagnetic substrates: Novel insights [pdf] Physica C: Superconductivity
and its applications 635 (2025) 1354765.
o
Prigozhin L. and Sokolovsky V. Magnetization of flat superconducting films
on ferromagnetic substrates [pdf] IEEE
Trans. Magn., 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., Hermite-Chebyshev 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. Two-dimensional model
of a high-Tc 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 FFT-based 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 type-II 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. FFT-based solution of 2D and 3D
magnetization problems in type-II superconductivity. [pdf] Supercond. Science and
Technology, 31 (2018) 055018.
o
Abu-Rjal
R, Prigozhin L., Rubinstein I. and Zaltzman B. Equilibrium electro-convective instability in
concentration polarization: The effect of non-equal 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 energy-based 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
Abu-Rjal
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 quasi-variational inequalities. [pdf] IMA J. of
Numerical Analysis, 2015, v. 35, pp. 1-38.
o
Sokolovsky V., Prigozhin L.
and Barrett J. W. 3D modeling of magnetic atom traps on type-II 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.
991-1015.
o
Barrett J. W. and Prigozhin L.
Lakes and rivers in the landscape: A quasi-variational inequality approach. [pdf] Interfaces
and Free Boundaries, 2014, v. 16, 269-296.
o
Barrett J. W., Prigozhin L.
and Sokolovsky V. Transport current and magnetization problems for thin type-II
superconducting films. [pdf] Supercond. Science and Technology, 2013, v. 26, 105009.
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), 2013, v. 47, pp.
1133-1165.
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
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. [pdf] 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 Pecher, R., McCulloch, M.D., Chapman, S.J., Prigozhin, L. and Elliott,
C.M. 3D-modelling of bulk type-II superconductors using unconstrained
H-formulation.
2003 (Proceedings of 6th 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 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.
