Prof. Pavel Belik

Mathematics, Statistics & Computer Science Department

Augsburg University, USA

Professor

Email: belik@augsburg.edu

Qualifications

Ph.D., University of Minnesota

M.Sc., Charles University

Publications (selected)

1. "On the axisymmetric steady incompressible Beltrami flows", Open Journal of Fluid Dynamics, 10(3), 208-238, 2020 (with X. Su, Augsburg University; D. P. Dokken, K. Scholz, M. M. Shvartsman, all University of St. Thomas).
2. "Possible implications of self-similarity for tornadogenesis and maintenance", AIMS Mathe￾matics, special topic "Mathematical Analysis in Fluid Dynamics", 3(3):365-390, 2018 (with D. P. Dokken, K. Scholz, M. M. Shvartsman, all University of St. Thomas; C. K. Potvin, CIMMS/NOAA/OAR/NSSL, Norman, OK; B. A. Dahl, CIMAS/NOAA/AOML/HRD, Miami, FL).
3. "MMS, Van Allen Probes, GOES 13, and Ground Based Magnetometer Observations of EMIC Wave Events Before, During, and After a Modest Interplanetary Shock", Journal of Geophysical Research-Space Physics, 2018 (with M. Engebretson, J. L. Posch, N. S. S. Capman, N. G. Campuzano, R. C. Allen, S. K. Vines, B. J. Anderson, S. Tian, C. A. Cattell, J. R. Wygant, S. A. Fuselier, M. R. Argall, M. R. Lessard, R. B. Torbert, M. D. Hartinger, H. Kim, C. T. Russell, C. A. Kletzing, G. D. Reeves, and H. J. Singer).
4. "Applications of vortex gas models to tornadogenesis and maintenance", Open Journal of Fluid Dynamics, 7(4), 596-622, 2017 (with D. P. Dokken, K. Scholz, M. M. Shvartsman, all University of St. Thomas; C. K. Potvin, CIMMS/NOAA/OAR/NSSL, Norman, OK).
5. "On the Dynamics of Laguerre’s Iteration Method for Finding the nth Roots of Unity", Inter￾national Journal of Computational Mathematics (also arXiv.org/abs/1405.0780), vol. 2014, Article ID 321585, 16 pages, 2014 (with H.C. Kang, A. Walsh, and E. Winegar, Augsburg College students).
6. "Fractal powers in Serrin’s swirling vortex solutions", Asymptotic Analysis, 90(1-2):53-82, 2014, arXiv:1204.0835v1 [math-ph](with D. P. Dokken, K. Scholz, M. M. Shvartsman, all University of St. Thomas)
7. "Analysis of the quasi-nonlocal approximation on linear and circular chains in the plane", Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 9(4):1495-1527, 2011, arXiv:1008.3716v1 [math.NA] (with M. Luskin, University of Minnesota)
8. "Modeling the behavior of heat-shrinkable thin films", Journal of Elasticity, 95(1-2):57-77, 2009 (with M. M. Shvartsman, Univesity of St. Thomas; C. U. Thomas, and B. Jennings, both 3M)
9. "A stochastic model for PSA levels: behavior of solutions and population statistics", Journal of Mathematical Biology, 53(3):437-463, 2006 (with P. W. Dayananda, J. T. Kemper, and M. M. Shvartsman, all University of St. Thomas)
10. "A finite element model for martensitic thin films", Calcolo, 43(3):197-215, 2006 (with M. Luskin, University of Minnesota)
11. "The Γ-convergence of a sharp interface thin film model with non-convex elastic energy", SIAM Journal on Mathematical Analysis, 38(2):414-433, 2006 (with M. Luskin, University of Minnesota)
12. "Computational modeling of softening in a structural phase transformation", Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 3(4):764-781, 2005 (with M. Luskin, University of Minnesota)
13. "Resistivity Modeling of Array Laterolog Tools: An Application in an Offshore Norway Clastic Reservoir", SPE Reservoir Evaluation and Engineering, 8(1):77-87, 2005 (with M. T. Galli, M. Gonfalini, M. Mele, ENI-Agip; O. Faivre, L. Jammes, A. Litman, all Schlumberger)
14. "A computational model for martensitic thin films with compositional fluctuation", Mathematical Models and Methods in Applied Sciences (M3AS), 14(11):1585-1598, 2004 (with M. Luskin, University of Minnesota)
15. "Approximation by piecewise constant functions in a BV metric", Mathematical Models and Methods in Applied Sciences (M3AS), 13(3):373-393, 2003 (with M. Luskin, University of Minnesota)
16. "A computational model for the indentation and phase transformation of a martensitic thin film", Journal of the Mechanics and Physics of Solids, 50(9):1789-1815, 2002 (with M. Luskin, University of Minnesota)
17. "A total-variation surface energy model for thin films of martensitic crystals", Interfaces and Free Boundaries, 4(1):71-88, 2002 (with M. Luskin, University of Minnesota)
18. "On the numerical modeling of deformations of pressurized martensitic thin films", M2AN Mathematical Modelling and Numerical Analysis, 35(3):525-548, 2001 (with T. Brule and M. Luskin, both University of Minnesota)
19. "Stability of microstructure for tetragonal to monoclinic martensitic transformations", M2AN Mathematical Modelling and Numerical Analysis, 34(3):663-685, 2000 (with M. Luskin, University of Minnesota)
20. "The State of Pure Shear", Journal of Elasticity, 52(1):91-98, 1998 (with R. Fosdick, University of Minnesota)