Tatiana Savina

Assistant Professor Contact Information Address: Department of Mathematics Ohio University Athens, OH 45701 Office: 550 Morton Hall Phone: 1-(740)-593-1279 E-mail: tanya at math.ohiou.edu Ph.D. in Mathematics, Moscow University. RESEARCH INTERESTS: analysis, partial differential equations, asymptotic methods, continuation of wave fields, wave propagation, mathematical modeling in materials science.

TEACHING:

• Spring 2010: Math 4/570 (Complex Variables)
• Winter 2010: Math 263B (Calculus II) and Math 263C (Calculus III)
• Fall 2009: Math 4/540 (Vector Analysis) and Math 263C (Calculus III)
• Spring 2009: Math 4/510 (Matrix Theory)
• Winter 2009: Math 340 (Differential Equations) and Math 266A (Calculus with Applications to Biology I)
• Fall 2008: Math 263A (Calculus I) and Math 263B (Calculus II)
• Spring 2008: Math 4/510 (Matrix Theory)
• Winter 2008: Math 340 (Differential Equations) and Math 266A (Calculus with Applications to Biology I)
• Fall 2007: Math 340 (Differential Equations) and Math 263D (Calculus IV)
• Spring 2007: Math 4/570 (Complex Variables) and Math 266B (Calculus with Applications to Biology II)
• Winter 2007: Math 263A (Calculus I) and Math 266A (Calculus with Applications to Biology I)
• Fall 2006: Math 4/540 (Vector Analysis)

PUBLICATIONS:

• T.V. Savina, ``On the structure of the reflection formula for the biharmonic equation'', Proceedings of 7th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Genoa, Italy, June 25-27, 2008, Cambridge Scientific Publishers, (2009), 602-607.
• B.P. Belinskiy and T.V. Savina, ``The Schwarz reflection principle for harmonic functions in R^2 subject to the Robin condition'', Journal of Mathematical Analysis and Applications, 348 (2008), 685-691.
• T.V.Savina, ``On splitting up singularities of fundamental solutions to elliptic equations in C^2'', Central European Journal of Mathematics, 5 4 (2007) 733-740.
• T. V. Savina, A.A.Nepomnyashchy, and A.A.Golovin, ``Delayed feedback control of rapid directional solidification'', J. Crystal Growth, 307 2 (2007), 490-499.
• T.V. Savina, B.Yu.Sternin and V.E.Shatalov, ``On a minimal element for a family of bodies producing the same external gravitational field'', Applicable Analysis 84, (2005), no. 7, 649-668.
• A.A.Golovin, M.S.Levine, T.V.Savina and S.H.Davis, ``Faceting instability in the presence of wetting interactions: a mechanism for the formation of quantum dots'', Phys. Rev. B 70, (2004), no. 23, 235342, 11 p.
• T.V.Savina, P.W.Voorhees and S.H.Davis, ``The effect of surface stress and wetting layers on morphological instability in epitaxially strained films'', 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, ``On faceting of a growing crystal surface by surface diffusion'', Physical Review E 67, 021606, (2003), 1-16.
• T.V.Savina, A.A.Nepomnyashchy, S.Brandon, D.R.Lewin and A.A.Golovin, ``Suppressing morphological instability via feedback control'', 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, ``The Schwarz reflection principle for polyharmonic functions in R^2'', Complex Variables Theory Appl. 41 (2000), no 1, 27-44.
• T.V.Savina, ``A reflection formula for the Helmholtz equation with the Neumann condition'', 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, ``On the law of reflection for higher-order elliptic equations'', 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, ``On the reflection law for the Helmholtz equation'', 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.

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Last Modified:  February 05, 2010

Tatiana Savin