Curriculum Vitae
Research Interests
My research activities lie in fields of Asymptotic Analysis for Partial Differential Equations, Homogenization Theory for Composite Materials, Multiscale Analysis and Computation, and Nonlinear Solid Mechanics
University of Houston  2015current  
Associate Professor  
University of Houston  20092015  
Assistant Professor  
Texas A&M University  20062009  
Visiting Assistant Professor  
The Pennsylvania State University  August 2006  
Ph.D. in Mathematics  
Kharkiv National University, Ukraine  June 1996  
Bachelor (Specialist) Degree in Applied Mathematics 
Grants
 NSF, DMS1350248, ''CAREER: Multiscale Modeling, Analysis and Simulation for HighContrast Media'', PI, 20142019, $420,001.00
 NSF, DMS1016531, ''Multiscale Simulations for Heterogeneous Particulate Flows'', PI, 20102014, $297,587.00
 NSF, DMS0811180, ''Iterative Upscaling of Fluid Flows in Nonlinear Deformable Porous Media'', CoPI (with PI Y. Efendiev and CoPIs P. Popov, D. Lagoudas), 20072010, $154,505.00
 Association for Women in Mathematics Travel Grant, Fall 2008, $2,000.00
Publications
 "Singularities of Hydrodynamic Forces Acting on Particles in the NearContact Regime", Journal of Computational and Applied Mathematics, accepted, April 2016 (DOI: 10.1016/j.cam.2016.04.015)
 "Singular Behavior of Electric Field of High Contrast Concentrated Composites", SIAM Multiscale Modeling and Simulations, Vol 13, No 4, 2015, pp. 13121326.
 "Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media", (with L. Borcea, Y. Wang), SIAM Multiscale Modeling and Simulations, Vol 12, No 4, 2014, pp. 14941532
 "Homogenization for Rigid Suspensions with Random VelocityDependent Interfacial Forces", (with R. F. Maris, B. Vernescu), Journal of Mathematical Analysis and Applications, Vol 420, No 1, 2014, pp. 632668
 "Finite Element Simulation of Threedimensional Particulate Flows Using Mixture Models", (with O. Mierka, L. Rivkind, D. Kuzmin), Journal of Computational and Applied Mathematics, Vol 270, 2014, pp. 443450
 "Blowup of Solutions to a pLaplace Equation", (with A. Novikov), SIAM Multiscale Modeling and Simulations, Vol 10, No 3, 2012, pp. 727743
 "A FluxCorrected Transport Algorithm for Handling the ClosePacking Limit in Dense Suspensions", (with D. Kuzmin), Journal of Computational and Applied Mathematics, Vol 236, No 18, 2012, pp. 49444951
 "Multiscale Finite Element Methods for FluidStructure Interaction Problems", (with P. Popov, Y. Efendiev), accepted at Computer Methods in Applied Mechanics and Engineering, 41 pages
 "Numerical Simulations of Diffusion in Cellular Flows at High Peclet Numbers", (with D. Nam, A. Novikov), Discrete and Continuous Dynamical Systems  B, Vol 15, No 1, 2011, pp. 7592
 "Dependence of the Vibrational Frequency Spectrum of a Nonlinear, Inhomogeneous Residually Stressed Elastic Body on Residual Stress", (with J. R. Walton), International Journal of Engineering Science, Vol 48, 2010, pp. 12891312
 "Multiscale Modeling and Simulation of Fluid Flows in Highly Deformable Porous Media", (with P. Popov, Y. Efendiev), Lecture Notes in Computer Science, Vol 5910, 2010, pp. 148156
 "A Boundary Integral Method for a Dynamic, Transient Mode I Crack Problem with Viscoelastic Cohesive Zone", (with T. L. Leise, J. R. Walton), International Journal of Fracture, Vol 5162, No 12, 2010, pp. 6976
 "Fictitious Fluid Approach and Anomalous Blowup of the Dissipation Rate in a 2D Model of Concentrated Suspensions", (with L. Berlyand, A. Novikov), Archive for Rational Mechanics and Analysis, Vol 193, No 3, 2009, pp. 585622
 "Reconsidering the Boundary Conditions for a Dynamic, Transient, Mode I Crack Problem", (with T. L. Leise, J. R. Walton), Journal of Mechanics of Materials and Structures, Vol 3, No 9, 2008, pp. 17971807
 "Dynamic, Transient Mode I Crack Propagation with a Nonlinear Viscoelastic Cohesive Zone", (with T. L. Leise, J. R. Walton), Proceedings of the 6th International Conference on Mechanics of TimeDependent Materials, (R. B. Hall, H. Lu, H. J. Qi, eds.), Curran Associates, 57 Morehouse Lane, Red Hook, NY 12571, 2008, pp. 265268
 "Asymptotic Analysis of an Array of Closely Spaced Absolutely Conductive Inclusions", (with L. Berlyand, G. Cardone, G. Panasenko), Networks and Heterogeneous Media, Vol 1, No 3, 2006, pp. 353377
 "Discrete Network Approximation for HighlyPacked Composites with Irregular Geometry in Three Dimensions", (with L. Berlyand, A. Novikov), Lecture Notes in Computational Science and Engineering, (B. Engquist, P. Lotstedt, O. Runborg, eds.) Vol 44, 2005, pp. 2158
 "Asymptotics of the Effective Conductivity of Composites with Closely Spaced Inclusions of Optimal Shape", (with L. Berlyand), The Quarterly Journal of Mechanics and Applied Mathematics , Vol 58, 2005, pp. 83106
 "The Effective Conductivity of Densely Packed High Contrast Composites with Inclusions of Optimal Shape", (with L. Berlyand), Continuum Models and Discrete Systems, (D. Bergman et. al. eds.) Vol 158, 2004, pp. 6374
 Minisymposium Organizer, ''Mesoscale and Nonlocal Models of Materials with Microstructure'', 2014 SIAM Annual Meeting, Chicago, IL, July 2014
 Minisymposium Organizer, ''Asymptotic Methods for Heterogeneous Media'', SIAM Conference on Analysis for PDEs, Orlando, FL, December 2013
 Minisymposium Organizer, ''Multiscale Modeling, Microstructure, and Local Field Properties of Heterogeneous Media'', SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, PA, June 2013
 Minisymposium Organizer, ''Homogenization and Model Reduction Methods for Multiscale Phenomena'', 2012 SIAM Annual Meeting, Minneapolis, MN, July 2012
 International Workshop ''Modeling and Simulation of Transport Phenomena'' Organizer (with D. Kuzmin, C. Basting, University of ErlangenNuremberg, and P. Solin, University of Nevada, Reno), The Moselle Valley, Germany, JulyAugust 2012
 Minisymposium Organizer, ''Asymptotic Methods for Heterogeneous Media'', SIAM Conference on Analysis for PDEs, San Diego, CA, November 2011
 Session Organizer, ''Multiscale Modeling in Biological Problems'' at 45th Annual Technical Meeting Society of Engineering Science, University of Illinois, Urbana Champaign, IL, October 2008
 Session Organizer, ''Mathematical and Computational Aspects of Multiscale and Multiphysics Modeling'' at 44th Annual Technical Meeting Society of Engineering Science, Texas A&M University, College Station, TX, October, 2007
 Grant Reviewer for the Research Council of Norway (2011)
 NSF Panelist (2008, 2009, 2011)

Computing, Applicable Analysis: An International Journal, The IMA Journal of Applied Mathematics, Physics Letters A, SIAM Journal on Mathematical Analysis, SIAM Multiscale Modeling and Simulation, Proceedings of Royal Society A, Networks and Heterogeneous Media