PUBLICATIONS
1. Zigzag Patterns in Martensite Phase Transitions: Global and Local Energy Scaling Laws, with R.Kohn
and S.Muller. Preprint.
2. Approximation of the optimal control problem on an interval with a family of optimization problems on
time scales, with O. Lavrova, V. Mogylova and O.Stanzhytskyi, Nonlinear Dynamics and Systems Theory,
Vol. 17, No 3, pp. 303 - 315, 2017.
3. Asymptotic Behavior and Homogenization of Invariant Measures, with O.Stanzhytskyi and N.K.Yip.
To appear in Stochastics and Dynamics.
4. Ito's Formula in Infinite Dimension and its Application to the Existence of Invariant Measures, with
O. Stanzhytskyi and N.K.Yip, Submitted.
5. Electrical Control of Effective Mass, Damping, and Stiffness of MEMS, with J. Clark and S.Sayed.
IEEE Sensors Journal, Vol. 5, pp. 1363 - 1372, 2017.
6. Convergence of Space-Time Discrete Threshold Dynamics to Motion by Mean Curvature, with
N.K. Yip. Discrete and Continuous Dynamical Systems, Series A 36, No. 11, 2016
7. Existence and Uniqueness of Invariant Measures for Stochastic Reaction-Diffusion Equations in
Unbounded Domains, with O.Stanzhytskyi and N.K. Yip. Journal of Theoretical Probability, 29, 3, 996-1026,
2016
8. Necessary Conditions for the Existence of Local Ginzburg-Landau Minimizers with Prescribed Degrees
on the Boundary, Asymptotic Analysis 89, 37-61, 2014.
9. Second-order Accurate Monotone Finite Volume Scheme for Richards Equation, with K. Lipnikov.
Journal of Computational Physics 239, 123-137, 2013.
10. Minimizers of the Magnetic Ginzburg-Landau Functional in Simply Connected Domain with Prescribed
Degree on the Boundary, with L. Berlyand and V. Rybalko. Communications in Contemporary
Mathematics 13, 53-66, 2011.
11. The Ginzburg-Landau Functional with a Discontinuous and Rapidly Oscillating Pinning Term. Part I:
the Zero Degree Case, with P. Mironescu and M. Dos Santos. Communications in Contemporary
Mathematics 13, 885-914, 2011.
12. Ginzburg-Landau Model with Small Pinning Domains, with M. Dos Santos. Networks and
Heterogeneous Media 6, 715-753, 2011.
13. Near Boundary Vortices in a Magnetic Ginzburg-Landau Model: Their Locations via Tight Lower
Bounds, with L. Berlyand and V. Rybalko. Journal of Functional Analysis 258, 1728-1762, 2010.
14. Asymptotic Equivalence of Impulsive Systems, with O.M. Stanzhytskyi. Ukrainian Math Journal
59, 577-587, 2007.
15. On Global Solutions of Linear Difference Equations with Deviating Argument, with L. Klopotyuk and
V. Mogilova. Nonlinear Oscillations 8, 26-43, 2005.
