Curriculum Vitae

Research Interests

My research activities lie in the fields of Asymptotic Analysis for Partial Differential Equations, Homogenization Theory for Composite Materials, Multiscale Analysis and Computation, Fracture Mechanics, and Mathematical Biology.

Current Position

Visiting Assistant Professor, Mathematics Department, Texas A&M University

Education

Current Support

NSF, DMS 0811180, “Iterative Upscaling of Fluid Flows in Nonlinear Deformable Porous Media”, Co-PI, with Y.Efendiev, P.Popov, D.Lagoudas.

Publications (Published/Submitted/In preparation)

• “Anomalous blow-up of the Effective Viscous Dissipation Rate in 2D Model of Concentrated Suspensions”, (with L. Berlyand, A. Novikov), accepted in The Archive for Rational Mechanics and Analysis, published OnLineFirstTM at lnk
• “Reconsidering the Boundary Conditions for a Dynamic, Transient, Mode I Crack Problem”, (with T. Leise, J. Walton), Journal of Mechanics of Materials and Structures Vol. 3, No. 9, (2008), pp. 1797-1807.
• “Iterative Upscaling of Flow Past Deformable Elastic Obstacles”, (with P. Popov, Y. Efendiev), in preparation. Abstract
• “Dependence of the Vibrational Frequency Spectrum of a Nonlinear Residually Stressed Elastic Body on Material Properties, Geometry and Residual Stress”, (with J.Walton), in preparation. Abstract
  
• “Dynamic, Transient Mode I Crack Propagation with a Nonlinear Viscoelastic Cohesive”, (with T. L. Leise, J.R. Walton), Proceedings of the 6th International Conference on Mechanics of Time-Dependent Materials, R. B. Hall, H. Lu, H. J. Qi, eds., Curran Associates, 57 Morehouse Lane, Red Hook, NY 12571.
• “Efficient numerical techniques for turbulent diffusion transport governed by cellular flows”, (with D. Nam, A. Novikov), in preparation. Abstract
• “Asymptotic analysis of an array of closely spaced absolutely conductive inclusions”, (with L. Berlyand, G. Cardone, G. Panasenko) in Networks and Heterogeneous Media, 1:3, 2006, pp. 353-377.
• “Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions”, (with L. Berlyand, A. Novikov) in Multiscale Methods in Science and Engineering, B. Engquist, P. Lotstedt, O. Runborg, eds., Lecture Notes in Computational Science and Engineering 44, Springer, 2005, pp 21-58.
• “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, 58, 2005, pp.83-106.
• “The Effective Conductivity of Densely Packed High Contrast Composites with Inclusions of Optimal Shape”, (with L. Berlyand) in Continuum Models and Discrete Systems, Kluwer Academic Publishers, eds. D. Bergman et. al. 2004, pp.63-74.

Conferences & Workshops

• 45th Annual Technical Meeting Society of Engineering Science (SES 2008), October 2008, University of Illinois, Urbana Champaign
• SIAM Conference on Analysis for PDEs (PD07), December, 2007 Mesa, Arizona
• 44th Annual Technical Meeting Society of Engineering Science (SES 2007) October, 2007 Texas A&M University
• Workshop for Young Researchers in Mathematical Biology (WYRMB) September, 2007 Mathematical Biosciences Institute, Ohio State University
• 11th Annual Science, Technology, Engineering, and Mathematics Education Scholars (STEMES) Program, Howard University, June 2007
• Workshop on "Modeling, Analysis and Simulation of Multiscale Nonlinear Systems", Oregon State University, June 2007
• 43rd Annual Technical Meeting Society of Engineering Science, Pennsylvania State University, August 2006
• 8th US National Congress on Computational Mechanics, University of Texas, Austin, July 2005
• Career Opportunities Workshop, University of Minnesota, February 2005
• Computational Methods in Multiscale Analysis and Applications. Student Workshop, University of Florida, March 2004
• NSF Meeting on Applications of Modern Tools of Math and Physics to Subsurface Hydrology, Purdue University, West Lafayette IN, August 2003
• The 9th Jyväskylä Summer School “Genetic Algorithms”,Jyväskylä University, Finland, August 1999

Reviewing:

• NSF.  Panelist. Spring, 2008

Refereeing for:

• Networks and Heterogeneous Media