51社区

Tatiana Savin

Tatiana Savin, portrait
Professor
Morton 525
Mathematics
Nanoscale Quantum Phenomena Institute (NQPI)
savin@ohio.edu
740-593-1268

Education

Ph.D., Lomonosov Moscow State University

About Tatiana Savin

Tatiana Savin is a professor of mathematics and an NQPI member at 51社区.

She joined 51社区 in 2006 as an assistant professor of mathematics. She was promoted to associate professor in 2012 and to professor in 2019. Throughout her time at 51社区, she served in multiple different positions including Graduate Chair of Math. Department (2016-2022) and NSF review panelist in the Division of Mathematical Sciences (2008).

Dr. Savin enjoys teaching, research, and other scientific communications with students. Due to her dedication to her students, she won the 2017-18 Jeanette Grasselli Brown Faculty Teaching Award in Natural Sciences/Mathematics.

Prior to coming to 51社区, Dr. Savin also served in several other positions related to mathematics, physics, and engineering. Dr. Savin was a J. Ford fellow in the School of Physics at Georgia Institute of Technology and a visiting scholar in the Department of Engineering Sciences and Applied Mathematics at Northwestern University. While at Northwestern, Dr. Savin worked on an NSF Nanoscale Interdisciplinary Research Team. 

Research Interests

  • Applied analysis
  • Analytic continuation of solutions to elliptic differential equations
  • Partial differential equations
  • Mathematical modeling in materials science

Thesis Directed

  • Khaled Qaraman, ``On inversion in higher dimensions鈥, Ph.D., Spring 2024.
  • Murdhy Aldawsari, ``On Non-homogeneous Reflections via Dirichlet-to-Neumann and Robin-to-Neumann Operators鈥, Ph.D., Fall 2022.
  • Sierra Knavel, ``The high-order Cahn-Hilliard type model for the solid-state dewetting of a thin film'', HTC, B.S., Spring 2020.
  • Suman Gautam, ``On the geometric properties of the Schwarz function鈥, M.S., Fall 2019.
  • Lanre Akinyemi, ``The interface dynamics in the Hele-Shaw cell鈥, Ph.D., Spring 2018.
  • Khalid Malaikah, ``Laplacian growth: interface evolution in a Hele-Shaw cell'', Ph.D., Spring 2013.

Teaching

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Publications

  • M. Aldawsari and T. Savina ``On non-homogeneous Robin reflection for harmonic functions鈥, Applicable Analysis, 101, Issue 5, (2022), 1699-1714.
  • T.V. Savina, ``On a two-fluid Hele-Shaw problem with an elliptical interface鈥, J. Differential Equations, 270 (2021), 787-808.
  • S.A. Knavel, T.V.  Savina, M.V. Mroz, M.E. Kordesch, C.N Eads, J.T. Sadowski, and S.A. Tenney, ``'',  Math. Model. Nat. Phenom., 15 (2020) 12.
  • T. Savina,   Journal of Mathematical Analysis and Applications, 447 (2019), issue 2, 1419-1433.
  • M. Aldawsari and T. Savina, ""  Analysis and Mathematical Physics, 9,  (2019), no. 2, 729-745.
  • M.V. Mroz, T. Savina, M.E. Kordesch, J.T. Sadowski, and S.A. Tenney, "Solid-solid dewetting of scandium thin films on the W(100) surface observed using emission microscopy", JVST B,  37, (2019), 012903; 
  • M. Mroz, S. Tenney, T. Savina, and M.E. Kordesch, "Thermionic emission microscopy of scandium thin film dewetting on W(100)", AIP Advances,  8, (2018), 065114; .
  • T. Savina, L. Akinyemi, and A. Savin,  Journal of Physics A: Mathematical and Theoretical, 51 (2018), no. 4, 045501 (16pp).
  • L. Akinyemi, T. V. Savina and A.A. Nepomnyashchy,  Contemporary Math., 699 (2017), 19-33.
  • K. Malaikah, T. V. Savina and A.A. Nepomnyashchy, "Hele-Shaw flow with a time-dependent gap: the Schwarz function approach to the interior problem", Contemporary Math., 2 (2016), to appear.
  • T. V. Savina and A.A. Nepomnyashchy,", SIAM J. Appl. Math., 75 (2015), no. 3, 1261鈥1274.
  • T. V. Savina and A.A. Nepomnyashchy,", Journal of Physics A: Mathematical and Theoretical, 48 (2015), no. 12, 125501 (13pp).
  • T. Savina, ", Transactions of the American Mathematical Society, 364 (2012), no. 5, 2443-2460.
  • T. V. Savina and A.A. Nepomnyashchy,", Physica D, 240 (2011), 1156-1163.
  • T.V. Savina, ", Journal of Mathematical Analysis and Applications, 370 (2010), 716-725.
  • T.V. Savina, "On the structure of the reflection formula for the biharmonic equation", in: 7th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, S. Sivasundaram, editor, Cambridge Scientific Publishers, (2009).
  • B.P. Belinskiy and T.V. Savina, ", Journal of Mathematical Analysis and Applications, 348 (2008), 685-691.
  • T.V.Savina,", Central European Journal of Mathematics, 5 4 (2007) 733-740.
  • T. V. Savina, A.A.Nepomnyashchy, and A.A.Golovin,", J. Crystal Growth, 307 2 (2007), 490-499.
  • T.V. Savina, B.Yu.Sternin and V.E.Shatalov, , Applicable Analysis 84, (2005), no. 7, 649-668.
  • A.A.Golovin, M.S.Levine, T.V.Savina and S.H.Davis, , Phys. Rev. B 70, (2004), no. 23, 235342, 11 p.
  • T.V.Savina, P.W.Voorhees and S.H.Davis, " J. Appl. Phys. 96, (2004), no. 6, 3127-3133.
  • T.V.Savina, A.A.Golovin, S.H.Davis, A.A.Nepomnyashchy and P.W.Voorhees, , Physical Review E 67, 021606, (2003), 1-16.
  • T.V.Savina, A.A.Nepomnyashchy, S.Brandon, D.R.Lewin and A.A.Golovin,, Journal of Crystal Growth, 240 (2002), 292-304.
  • T.Savina, A.A.Nepomnyashchy, S.Brandon, A.A.Golovin and D.R.Lewin, "Feedback control of morphological instability", J. Crystal Growth 237-239 (2002), 178-180.
  • D.Aberra and T.Savina, , Complex Variables Theory Appl. 41 (2000), no 1, 27-44.
  • T.V.Savina, , Comput. Math. Math. Phys. 39 (1999), no. 4, 652-660.
  • T.V.Savina, "On a reflection formula for higher-order elliptic equations'' , Math. Notes 57 (1995), no. 5-6, 511-521.
  • T.V.Savina, B.Yu.Sternin and V.E.Shatalov, "On the continuation of solutions in domains with a piecewise-analytic boundary", (Russian), Dokl. Akad. Nauk 341 (1995), no. 1, 24-27.
  • T.V.Savina, , Russian Acad. Sci. Dokl. Math. 48 (1994), no. 2, 380-383.
  • T.V.Savina, B.Yu.Sternin and V.E.Shatalov, "On the reflection formula for the Helmholtz equation" (Russian), Radiotekh. i Electron. 38 (1993), no. 2, 229--240.
  • T.V.Savina, B.Yu.Sternin and V.E.Shatalov, , Soviet Math. Dokl. 45 (1992), no.1, 42-45.
  • N.A.Kudryashov and T.V.Savina, "Invariant solutions of an equation of gas filtration in a porous medium for large Reynolds numbers" (Russian), Mat. Model. 2 (1990), no. 12, 122-126.

Book Chapter

  • T.V.Savina, B.Yu.Sternin and V.E.Shatalov, "Reflection Formulas and Continuation of Solutions to Boundary Value Problems", Section in the book: Boris Sternin and Victor Shatalov, Differential Equations on Complex Manifolds, Kluwer Academic Publishers, Dordeht-Boston-London, 1994.

Preprints

  • T.V.Savina, B.Yu.Sternin and V.E.Shatalov, "Notes on mother body in geophysics'" Preprint Max-Plank Institut fur Mathematik, Bonn, MPI/95-90, 23 p.