Professor of Mathematics Marina Chugunova joined the Institute of Mathematical Sciences at Claremont Graduate University in 2012.
Chugunova’s research interests include thin liquid films with applications to coating flows, biofluids, microfluidic engineering, and medicine; analysis of nonlinear parabolic PDEs; applied operator theory with applications to spectral stability problems in fluid dynamics; scientific computations; and Sturm-Liouville problems with spectral parameter dependent boundary conditions. Her current project examines interface dynamics for surfactant-driven thin films.
Before joining CGU in 2012, Chugunova held multiple positions in mathematics and computing. She was a postdoctoral fellow and course coordinator in mathematics at University of Toronto as well as a tutorial instructor and teaching assistant at McMaster University. Prior to that, Chugunova was a research associate and lecturer at the Ulyanovsk Teacher’s Training State University in her homeland of Russia, where she delivered lectures on topics in numerical methods and conducted research on topics of parameter-dependent eigenvalue problems. She worked previously as a software developer for Uliyanovsk Center of Microelectronics. A Microsoft Certified Data Base Administrator (MCDBA) and Microsoft Certified Programmer (MCP), Chugunova is fluent in C/C++, MATLAB, Maple, MPI, and Open MP, among other programming languages.
Chugunova is the recipient of numerous awards and grants, including a Simons Foundation Collaboration Grant, Atkinson Teaching Award for Excellence in Undergraduate Teaching at University of Toronto, and a Summer Research Grant for MACSI (Mathematics Applications Consortium for Science and Industry) at the University of Limerick.
Co-authored with C. Johnson, et al. “Existence and Stability Analysis of Solutions for an Ultradian Glucocorticoid Rhythmicity and Acute Stress Model.” In Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics. Understanding Complex Systems, edited by Victor A. Sadovnichiy and Michael Z. Zgurovsky, 165-94. Springer, 2021.
Co-authored with Y. Ruan and R. Taranets. “On Qualitative Behaviour of Solutions to a Thin Film Equation with a Source Term.” Journal of Nonlinear Science 31, no. 1 (2021): 1-23.
Co-authored with Y. Ruan and A. Nadim. “Thin liquid film resulting from a distributed source on a vertical wall.” Physical Review Fluids 5, no. 6 (2020): 064004.
Co-authored with M.G. Doyle, et al. “Use of mathematical modeling to study pressure regimes in normal and Fontan blood flow circulations.” Mathematics-in-Industry Case Studies 10, no. 1 (2019): 1-28.
Co-authored with D. Kang, et al. “Modeling coating flow and surfactant dynamics inside the alveolar compartment.” Journal of Engineering Mathematics 113, no. 1 (2018): 23-43.
Mathematics of Machine Learning
Advanced Matrix Analysis
Numerical Methods for Differential Equations