RESEARCH INTERESTS:

Mathematical problems in physics and materials science: asymptotic limits of nonlinear PDE, geometric evolution problems, variational problems.

General research areas:

• Partial Differential Equations.
• Calculus of variations.

EDUCATION:

• Carnegie Mellon University, Pittsburgh, PA - Ph.D., Mathematics, May 1995.
• Institute of Steel and Alloys, Moscow, Russia - M.S., Physical Metallurgy, June 1985.

EXPERIENCE:

• 09/05-          The University of Akron, Akron, OH, Associate Professor.
• 08/00-08/05 The University of Akron, Akron, OH, Assistant Professor.
• 08/98-06/00 Penn State University, University Park, PA, Postdoc.
• 08/97-05/98 The University of Akron, Akron, OH, Visiting Assistant Professor.
• 09/96-07/97 Carnegie Mellon University, Pittsburgh, PA, Visiting Assistant Professor.
• 06/95-08/96 Pennsylvania State Univarsity, Monaca, PA, Lecturer.
• 06/95-06/96 Carnegie Mellon University, Pittsburgh, PA, Visiting Scholar.
• 01/89-05/95 Carnegie Mellon University, Pittsburgh, PA, Teaching Assistant.
• 09/85-03/88 Central Institute of Ferrous Metallurgy, Moscow, Russia, Engineer-Researcher.

PUBLICATIONS:

[1]  D. Golovaty and S. Talbott, Continuum model of polygonization of carbon nanotubes, Phys. Rev. B 77, 081406(R) (2008).

[2]  J. Pojman, V. Viner, B. Binici, S. Lavergne, M. Winsper, D. Golovaty, and L.K. Gross, Snell's law of refraction observed in thermal frontal polymerization, Chaos, 17, 033125-033125-7 (2007)

[3]  L. Berlyand, D. Golovaty, and V. Rybalko, Nonexistence of Ginzburg-Landau minimizers with prescribed degree on the boundary of a doubly connected domain, Comptes rendus - Mathematiques, 343, 63-68 (2006) (long version).

[4]  L. Berlyand, D. Golovaty, A. Movchan, and J. Phillips, Transport properties of densely packed composites. Effect of shapes and spacings of inclusions, The Quarterly Journal of Mechanics and Applied Mathematics, 57, 495-528 (2004).

[5]  L. Berlyand, D. Cioranescu, and D. Golovaty, Homogenization of a Ginzburg-Landau model with a surface term for a liquid crystalline medium with inclusions, Journal des Mathematiques Pures et Appliquees, 84, 97-136 (2005).

[6]  L. Berlyand, D. Cioranescu, and D. Golovaty, Homogenization of a Ginzburg-Landau Functional, Comptes rendus - Mathematiques, 340, 87-92 (2005).

[7]  S. Jurcovic, C.B. Clemons, D. Golovaty, and G.W. Young, Effects of the electric field shape on nano-scale oxidation, Surface Science, 601, 5340-5358 (2007).

[8]  K. Kupchella, C. B. Clemons, D. Golovaty, and G. W. Young, An asymptotic analysis for directional solidification of a binary system, Journal of Crystal Growth, 292, 111-124 (2006).

[9]  J. Bonfiglio, J. McHood, C. B. Clemons, D. Golovaty, and G. W. Young, Asymptotic solutions for a time-dependent, axysimmetric directional solidification system, Journal of Crystal Growth, 285 415-426, (2005).

[10]  S. A. Cardarelli, D. Golovaty, L. K. Gross, V. T. Gyrya, and J. Zhu, A numerical study of single-step models of polymerization: frontal vs. bulk mode, Physica D: Nonlinear Phenomena, 206, 145-165 (2005)

[11]  D. Golovaty, On step-function reaction kinetics model in the absence of material diffusion, SIAM J. Appl. Math., 67 792-809 (2007)

[12]  C. B. Clemons, D. Golovaty, and G. W. Young, Asymptotic solutions for an axisymmetric, stagnant film model of directional solidification, Journal of Crystal Growth, 289, 715-726 (2006).

[13]  D. Golovaty and L. Berlyand, On radial minimizers of the Ginzburg-Landau functional , Calc. Var. Partial Differential Equations, 14, 213-232 (2002).

[14]  M. C. Calderer, D. Golovaty, F.-H. Lin, and C. Liu, Time evolution of nematic liquid crystals with variable degree of orientation, SIAM J. Math. Anal., 33, 1033-1047 (2002).

[15]  D. Golovaty, L. K. Gross, S. I. Hariharan, and E. C. Gartland, On instability of a bend Freedericksz configuration in nematic liquid crystals, Journal of Math. Anal. and Appl. 255, 391-403 (2001).

[16]  C. Batur, A. Srinivasan, W. M. B. Duval, D. Golovaty, N. B. Singh: On-line control of solid-liquid interface by state feedback, Journal of Crystal Growth, 205, 395-409 (1999).

[17]  E.C. Gartland, D. Golovaty, L.K. Gross, S.I. Hariharan: On a stability of a uniform bend-Freedericksz configuration in nematic liquid crystals, in Proceedeings of the Second International Conference on Nonlinear Problems in Aviation and Aerospace, Embry-Riddle Aeronautical University (1998).

[18]  D. Golovaty: On a  - limit of a family of anisotropic singular perturbations, Manuscripta Mathematica, 92, 515-524 (1997).

[19]  D. Golovaty: The volume preserving motion by mean curvature as an asymptotic limit of reaction-diffusion equations. Q. of Appl. Math., LV, 243-298 (1997).

OTHER PUBLICATIONS:

[1]  D. Golovaty, On uniaxial anisotropic ferromagnet magnetization dynamics, preprint, Moscow, Russia (1984).