Leonid Prigozhin
 

 The Swiss Institute for Dryland Environmental and Energy Research
Jacob Blaustein Institutes for Desert Research
Ben Gurion University of the Negev
Sede Boqer Campus, 84990 Israel                     

              and

Department of Mathematics, BGU

E-mail: leonid@math.bgu.ac.il

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Teaching 

 

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 superconductor-based magnetic traps for ultra-cold atoms

2012  Lakes and rivers in the landscape: A quasi-variational inequality approach

2012  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    Barrett J. W. and Prigozhin L. Lakes and rivers in the landscape: A quasi-variational inequality approach. [pdf] Interfaces and Free Boundaries, accepted.

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, accepted.

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. 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. 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 (featured article).

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. [ps]  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    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.

 

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