PUBLICATIONS
1. Zigzag Patterns in Martensite Phase Transitions: Global and Local Energy Scaling Laws, with R.Kohn
and S.Muller. Preprint.
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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.
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4. Ito's Formula in Infinite Dimension and its Application to the Existence of Invariant Measures, with
O. Stanzhytskyi and N.K.Yip, Submitted.
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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.
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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
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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
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8. Necessary Conditions for the Existence of Local Ginzburg-Landau Minimizers with Prescribed Degrees
on the Boundary, Asymptotic Analysis 89, 37-61, 2014.
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9. Second-order Accurate Monotone Finite Volume Scheme for Richards Equation, with K. Lipnikov.
Journal of Computational Physics 239, 123-137, 2013.
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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.
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12. Ginzburg-Landau Model with Small Pinning Domains, with M. Dos Santos. Networks and
Heterogeneous Media 6, 715-753, 2011.
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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.
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14. Asymptotic Equivalence of Impulsive Systems, with O.M. Stanzhytskyi. Ukrainian Math Journal
59, 577-587, 2007.
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15. On Global Solutions of Linear Difference Equations with Deviating Argument, with L. Klopotyuk and
V. Mogilova. Nonlinear Oscillations 8, 26-43, 2005.
