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. Inclusive Calculus: Active, Applied, and Inquiry-based Learning with Linked Workshop and First-Year Seminar, Justice Through the Lens of Calculus: Framing New Possibilities for Diversity, Equity, and Inclusion, MAA Notes (book chapter), to appear. arXiv.org
2. Titration, Engaging Students in Introductory Mathematics Courses Through Interdisciplinary Partnerships: the SUMMIT-P Model, MAA Notes, Volume 93, 2022. E-book
3. Equilibrium Energy and Entropy of Vortex Filaments in the Context of Tornadogenesis and Tornadic Flows, Open Journal of Fluid Dynamics, volume 13, number 3, June 2023. DOI: 10.4236/ojfd.2023.133012
4. Repellers for the Laguerre Iteration Function, Nonlinear Dynamics and Complexity (book chapter), 2022. DOI: 10.1007/978-3-031-06632-0_10
5. Vortex Gas Models for Tornadogenesis and Maintenance, New Trends in Physical Science Research Vol. 2 (book chapter), 2022. DOI: 10.9734/bpi/ntpsr/v2/2138B
6. Empirical Fitting of Periodically Repeating Environmental Data, Spora: A Journal of Biomathematics, 2021. DOI:10.30707/SPORA7.1.1647885542.965997
7. On the axisymmetric steady incompressible Beltrami flows, Open Journal of Fluid Dynamics, 2020. DOI:10.4236/ojfd.2020.103014
8. "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).
9. "Possible implications of self-similarity for tornadogenesis and maintenance", AIMS Mathematics, 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).
10. "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).
11. "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).
12. "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).
13. "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)
14. "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)
15. "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)
16. "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)
17. "A finite element model for martensitic thin films", Calcolo, 43(3):197-215, 2006 (with M. Luskin, University of Minnesota)
18. "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)
19. "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)
20. "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)

Profile Details

https://www.augsburg.edu/faculty/belik/

https://web.augsburg.edu/~belik/

https://www.researchgate.net/profile/Pavel-Belik-2