Research:
My research in applied mathematics explores elasticity, fluid mechanics,
and applied complex analysis. I focus on fracture modeling, nano-composites, objects
with inclusions and imperfections, surface phenomena, supercavitation,
bubble dynamics, conformal mapping of multiply-connected domains, and
solving Riemann-Hilbert problems and integral equations.
Education:
- Ph.D. in Mathematics, 2010, Louisiana State University,
Baton Rouge, LA.
- M.S. in Operations Research, 2022, Kansas State University, Manhattan, KS
- Graduate Certificate in Applied Statistics, 2022, Kansas State University, Manhattan, KS
Work experience:
- Kansas State University, Manhattan, Kansas, Professor, August 2022 - on.
- Kansas State University, Manhattan, Kansas, Associate
Professor, August 2018 - August 2022.
- Kansas State University, Manhattan, Kansas, tenure-track
Assistant Professor, August 2013 - August 2018.
- Texas A&M University, College Station, Texas,
Visiting Assistant Professor, August 2010 - August 2013 (on leave at MSRI for Fall 2010).
Editorial boards:
- Associate Editor, IMA Journal of Applied Mathematics, Oxford University Press.
- Guest Editor of the Special Issue of the Journal of
Computational and Applied Mathematics (JCAM).
Scientific Visits:
- MFO, Oberwolfach Research Institute for Mathematics, Research in Pairs, research visit, March 2022.
- Isaac Newton Institute for Mathematical Sciences,
Cambridge, UK, Academic Visitor, August 2019 - December 2019.
- Mathematical Sciences Research Institute, Berkeley,
California, Postdoctoral Fellow, August 2010 - December 2010.
Grants:
- Simons Foundation Collaboration Grant, 2020-2025, 42,000$.
- Simons Foundation Collaboration Grant, 2014-2020, 35,000$.
Linear
algebra book:
- I authored a book of linear algebra applied projects. The
book is available here
and the supplementary
materials are here.
Teaching:
- Past and current
classes are
available here.
Conferences
and workshops organized:
- BIRS-IASM workshop, Cross-Fertilisation
of ideas from the Riemann-Hilbert Technique and the Wiener-Hopf Method (24w5506), Hangzhou, China, October 27 - November 1, 2024.
- Complex
analysis
in mathematical physics and applications
workshop, INI, Cambridge, UK, October 28 -November 1, 2019.
- Fourth
Annual
Meeting of SIAM Central States Section, University of
Oklahoma, Norman, OK, October
5-7, 2018.
- Third Annual
Meeting of SIAM Central States Section, Colorado State
University, Fort Collins, CO,
September 29-October 1, 2017.
Leadership:
Publications:
- Z. Han, S.G. Mogilevskaya, A.Y. Zemlyanova, On the problem of a Gurtin-Murdoch cylindrical material surface embedded in an infinite matrix, submitted, 20p, 2023.
- A. Y. Zemlyanova,
A problem for a material surface attached to the boundary of an elastic
semi-plane, accepted, Mathematics and Mechanics of Solids, 20p, 2023.
- A. Y. Zemlyanova, L.M. White*, An axisymmetric
problem for a patch loaded membrane attached to the surface of an
elastic semi-space, SIAM Journal on Applied Mathematics, SIAM Journal
on Applied Mathematics, 83(2), pp. 603-624, 2023.
- A.Y. Zemlyanova, S.G. Mogilevskaya, D. Schillinger, Numerical solution of the two-dimensional Steigmann-Ogden model of material surface with a boundary, Physica D, 443, 133531, 2023.
- A.Y. Zemlyanova, Y.A. Godin, S.G. Mogilevskaya, Analytical solution for doubly-periodic harmonic problems with circular inhomogeneities and superconducting or membrane-type interfaces, European Journal of Mechanics/A Solids, 104556, 2022.
- S.G. Mogilevskaya, A.Y. Zemlyanova, V.I. Kushch, Fiber- and
particle-reinforced composite materials with the
Gurtin-Murdoch and Steigmann-Ogden surface energy endowed
interfaces, ASME
Applied Mechanics Reviews, 73(5), 050801, 2021.
- A. Y. Zemlyanova. L.M. White*,
Axisymmetric frictionless indentation of a rigid stamp
into a semi-space with a
surface energetic
boundary, Mathematics and Mechanics of Solids, in press, 2021.
- S.G. Mogilevskaya, A.Y. Zemlyanova and Vladislav Mantič,
The use of the Gurtin-Murdoch theory for modeling mechanical
processes in composites with two-dimensional reinforcements,Composites
Science and Technology,
V. 210, 108751, 2021.
- A.Y.
Zemlyanova, An axisymmetric
problem for a penny-shaped crack under influence of the Steigmann-Ogden
surface energy, Proceedings of the Royal Society A, V. 477, 20200998, 2021.
- Y.A.
Antipov, A.Y. Zemlyanova, Riemann-Hilbert
problem on a torus and a vortex patch in a wedge, Complex Variables and
Elliptic Equations, in press, 2021.
- A.Y.
Zemlyanova, Interaction of multiple straight fractures in the presence
of the Steigmann-Ogden surface energy, accepted, SIAM Journal on Applied
Mathematics, 80(5),
2098-2119, 2020.
- A.Y.
Zemlyanova, A. Machina*, A
new B-spline collocation
method for singular integro-differential equations of
higher orders, submitted, Journal of Computational and
Applied Mathematics,V.
380, 112949, 2020.
- S.
Jimenez-Bolanos, AY. Zemlyanova,
Relative bending energy
for weakly prestrained shells, Rocky Mountains
Journal of Mathematics, V. 50(3), pp. 1001-1020, 2020.
- S.G.
Mogilevskaya, V.I. Kushch, A.Y. Zemlyanova Displacement representations
for the problems with sperical and circular material surfaces, the Quarterly Journal of
Mechanics and Applied Mathematics, V. 72(4), pp. 449-471, 2019.
- A.Y. Zemlyanova, An
adhesive contact problem
for a semi-plane with a surface elasticity in the Steigmann-Ogden
form, Journal of
Elasticity,
136(1),
pp
103–121, 2019, https://doi.org/10.1007/s10659-018-9694-1.
- A.Y.
Zemlyanova, S. Mogilevskaya, On
spherical inhomogeneity with Steigmann-Ogden
interface, ASME Journal
of Applied Mechanics, 85(12):
121009 (10 pages),
2018, doi:10.1115/1.4041499.
- A.Y.
Zemlyanova and S.G. Mogilevskaya, Circular inhomogeneity with
Steigmann-Ogden interface: Local fields and Maxwell's type
approximation formula, published
online in the
International Journal of Solids and Structures, V. 135,
pp. 85-98, 2018.
- A.Y.
Zemlyanova, Frictionless contact of a rigid stamp with a semi-plane in
the presence of Steigmann-Ogden elasticity, Mathematics and Mechanics
of Solids, V.
23(8), pp. 1140-1155, 2018.
- S.G.
Mogilevskaya, A.Y. Zemlyanova, M. Zammarchi*, On
replacement procedure
for a coated inhomogeneity: A far field approach, submitted, International
Journal of Solids
and Structures, V. 130-131, pp. 199-210, 2018.
- A.Y.
Zemlyanova, I. Manly*, D. Handley+,
Vortex generated fluid flows in
multiply connected domains, Complex Variables
and Elliptic Equations, Complex
Variables and Elliptic
Equations, V. 63(2), pp. 151-170, 2018.
- A.Y.
Zemlyanova, A
straight mixed mode
fracture with the Steigmann-Ogden
boundary condition, the
Quarterly Journal of Mechanics and Applied Mathematics, V. 70(1), pp.
65-86, 2017.
- J.R.
Walton, A.Y. Zemlyanova,
A rigid stamp indentation into a semi-plane with a curvature-dependent
surface tension on the boundary, SIAM Journal on Applied Mathematics,
V.
76(2),
pp. 618–640, 2016.
- A.Y.
Zemlyanova, Curvilinear
Mode-I/Mode-II
interface fracture with a curvature-dependent surface tension on the
boundary, IMA Journal of Applied Mathematics, V. 81(6), pp. 1112-1136, 2016.
- A.Y.
Zemlyanova, Reinforcement of a
plate
weakened by multiple holes with several patches for dierent types of a
plate-patch attachment, Mathematics and Mechanics of Solids, V. 21(3)
281-294, 2016.
- A.Y.
Zemlyanova,
The effect of a curvature-dependent surface tension on the
singularities
at the tips of a straight interface crack, the Quarterly Journal of
Mechanics and Applied Mathematics, V. 66(2), pp. 199-219, 2013.
- A.Y.
Zemlyanova, J.R. Walton, Modeling of a curvilinear planar crack with a
curvature-dependent surface tension, SIAM Journal on Applied
Mathematics, V. 72, pp. 1474-1492, 2012.
- Y.A.
Antipov, A.Y.
Zemlyanova, Single-spiral-vortex model for a cavitating elastic
curvilinear foil, SIAM Journal on Applied Mathematics, V. 72, pp.
280-298, 2012.
- Y.A.
Antipov, A.Y. Zemlyanova,
Single- and
double-spiral-vortex models for a supercavitating nonsymmetric wedge in
a jet, Proceedings of the Royal Society A, V. 465, pp. 3817-3837, 2009.
- Y.A.
Antipov, A.Y. Zemlyanova, Supercavitating motion of a wedge in a jet,
CAV2009, 7th International Symposium on Cavitation, Ann Arbor, MI,
Conference Proceedings, paper 21, pp. 1-15, 2009.
- Y.A.
Antipov,
A.Y. Zemlyanova, Supercavitating motion of a yawed wedge under a free
surface, SIAM Journal on Applied Mathematics, V.70, pp. 923-948, 2009.
- A.Y.
Zemlyanova, V.V. Silvestrov, Interaction of elastic plate weakened by
multiple holes with a set of patches, Quarterly Journal of Mechanics
and Applied Mathematics, V. 62(2), pp. 201-220, 2009.
- A.Y.
Zemlyanova, V.V. Silvestrov, Reinforcement of a plate with a circular
hole by an excentrically placed circular patch, Proceedings of Russian
Academy of Sciences, Mechanics of Solids, N 1, pp. 73-86, 2008.
- A.Y.
Zemlyanova, Singular integral equations for a patch repair problem,
International Journal of Solids and Structures, V. 44, pp. 6860-6877,
2007.
- A.Y.
Zemlyanova, V.V. Silvestrov, The
problem of the
reinforcement of a plate with a cutout by a two-dimensional patch,
Journal of Applied Mathematics and Mechanics, V. 71, N. 1, pp. 40-51,
2007.
- V.V.
Silvestrov, A.Y. Zemlyanova, The
problem on the
reinforcement of a plate with elliptical hole by a patch, Problems of
Mechanics of Deformable Solids and Rocks, Fizmatlit, Moscow, pp.
666-683, 2006.
- A.Y.
Zemlyanova, V.V. Silvestrov, The
problem on
circular patch, Journal of Applied Mathematics and Mechanics, V. 69, N.
4, pp. 676-683, 2005.
- V.V.
Silvestrov, A.Y. Zemlyanova,
Reinforcement of a plate with a circular hole by an excentric circular
patch attached to the plate along the boundary circumferences of the
patch and the hole, Theoretical and Applied Mechanics, Minsk (Republic
of Belarus), N. 19, pp. 128-141, 2005.
- V.V.
Silvestrov, A.Y.
Zemlyanova, Repair of a plate with a circular hole by applying a patch,
Journal of Applied Mechanics and Technical Physics, V. 45, N. 4, pp.
605-611, 2004.
- V.V.
Silvestrov, A.Y. Zemlyanova,
Tension of a
plate with an elliptic hole reinforced by confocal elliptic patch,
Mechanics of Composite Materials and Constructions, V. 10, N 4, pp.
577-595, 2004.
- V.V.
Silvestrov, A.Y. Zemlyanova,
Reinforcement
of a plate with a circular hole by a patch joined along a concentric
circle, Transactions of the National Academy of Sciences and Arts of
the Chuvash Republic, No. 3, pp. 57-71, 2003.
- V.V.Silvestrov,
A.Y. Zemlyanova, The stressed state of a set of elastic plates joined
along arcs of a boundary circumference, Transactions of the National
Academy of Sciences and Arts of the Chuvash Republic, pp. 28-43, No. 5,
2001, No. 2, 2002.
- V.V.
Silvestrov, A.Y. Zemlyanova, The
stressed state of a system of elastic plates joined along a
circumference, Transactions of the National Academy of Sciences and
Arts of the Chuvash Republic, No. 4, pp. 54-60, 2000.
Papers with graduate students are
denoted by *, with undergraduate students by +.
Students
advised:
- Lauren White, PhD student, 2018-2022, currently at NASA.
- Alexia Machina, PhD student, 2017-2020, currently at Haskell Indian Nations University.
- Demond Handley, undergraduate student, 2015-2016.
- Phillip Brooks, undergraduate student, 2014.