# Students Publications

**2022:**

Bao, Yanyu, Jianing Chen, Lijun Zhang, and Mingji Zhang. "HIGHER ORDER EXPANSIONS IN FINITE ION SIZE VIA POISSON-NERNST-PLANCK SYSTEMS WITH
BIKERMAN'S LOCAL HARD-SPHERE POTENTIAL."*Journal of Applied Analysis & Computation* 12, no. 3 (2022): 907-931.

Chen, Jianing, and Bixiang Wang. "Random attractors of supercritical wave equations driven by infinite-dimensional
additive noise on\begin {document} $\mathbb {R}^ n $\end {document}." *Discrete and Continuous Dynamical Systems-B* (2022).

Chen, Jianing, and Mingji Zhang. "Boundary layer effects on ionic flows via Poisson-Nernst-Planck
systems with nonuniform ion sizes." *Discrete and Continuous Dynamical Systems-B* (2022).

Chen, Jianing, and Mingji Zhang. "Geometric Singular Perturbation Approach to Poisson-Nernst-Planck
Systems with Local Hard-Sphere Potential: Studies on Zero-Current Ionic Flows with
Boundary Layers." *Qualitative Theory of Dynamical Systems* 21, no. 4 (2022): 1-33.

Chilleri, John, Poppy Siddiqua, Michael S. Shur, and Stephen K. O'Leary. "Cubic boron nitride as
a material for future electron device applications: A comparative analysis." *Applied Physics Letters* 120, no. 12 (2022): 122105.

Chilleri, John, Yana Wang, Michael S. Shur, and Stephen K. O’Leary. "A low-field electron mobility
analysis of cubic boron nitride." *Solid State Communications* 352 (2022): 114776.

Chilleri, John, Yana Wang, and Stephen K. O’Leary. "Threading dislocation lines and their impact
on bulk cubic boron nitride’s low-field electron transport response." *Solid State Communications* 356 (2022): 114925.

**2021:**

Chen, Jianing, Yiwei Wang, Lijun Zhang, and Mingji Zhang. "Mathematical analysis of Poisson–Nernst–Planck
models with permanent charges and boundary layers: studies on individual fluxes." *Nonlinearity* 34, no. 6 (2021): 3879.

Chilleri, John, Yanyan He, Dmitry Bedrov, and Robert M. Kirby. "Optimal allocation of computational
resources based on Gaussian process: Application to molecular dynamics simulations." *Computational Materials Science* 188 (2021): 110178.

Chilleri, John, Yana Wang, Michael S. Shur, and Stephen K. O’Leary. "An improved empirical model
for a semiconductor’s velocity-field characteristic applied to gallium arsenide." *Solid State Communications* 330 (2021): 114240.

Kropf, Gabriel, Chloë Bonamici, and Brian Borchers. "Updating the Fast Grain Boundary program: Temperature-time
paths from intragrain oxygen isotope zoning." *Computers & Geosciences* 151 (2021): 104753.

**2020:**

Bates, Peter W., Jianing Chen, and Mingji Zhang. "Dynamics of ionic flows via Poisson-Nernst-Planck systems with
local hard-sphere potentials: Competition between cations." *Mathematical Biosciences and Engineering* 17, no. 4 (2020): 3736-3766.

He, Yanyan, John Chilleri, Stephen K. O’Leary, Michael S. Shur, and Robert M. Kirby. "Sensitivity analysis
for an electron transport system: application to the case of wurtzite gallium nitride." *Journal of Computational Electronics* 19, no. 1 (2020): 103-110.

**2019:**

Bonamici, Chloe E., Gabriel Kropf, Brian Borchers, and Gabriel Parrish. "Time-temperature paths from intragrain oxygen
isotope zoning." In*AGU 2019 Fall** Meeting*. 2019.

Hart, David, J. Santiago Rodriguez, Jonathan Burkhardt, Brian Borchers, Carl Laird, Regan Murray,
Katherine Klise, and Terranna Haxton. "Quantifying hydraulic and water quality uncertainty
to inform sampling of drinking water distribution systems." *Journal of Water Resources Planning and Management* 145, no. 1 (2019): 04018084.

**2018:**

Duncan-Miller, Gabrielle C., and William D. Stone. "Off-center blast in a shocked medium." *Shock Waves* 28, no. 4 (2018): 631-640.

**2017:**

Sameh A. Eisa, William Stone and Kevin Wedeward. *Mathematical analysis of wind turbines dynamics under control limits: boundedness,
existence, uniqueness, and multi time scale simulations*. International Journal of Dynamics and Control (2017).

Jianbao Zhang, D. Acheampong and M. Zhang. *Geometric singular approach to Poisson-Nernst-Planck models with excess chemical potentials:
Ion size effects on individual fluxes*. Molecular Based Mathematical Biology, 5(1) (2017), 58-77.

Sameh A. Eisa, and Waleed Lotfy. *Image Compression Using Two Dimensional DCT and Least Squares Interpolation*. Wireless Personal Communications, 1-15.

Sameh A. Eisa, William Stone and Kevin Wedeward. *Mathematical Modeling, Stability, Bifurcation Analysis, and Simulations of a Type-3
DFIG Wind Turbine's Dynamics with Pitch Control*. 2017 Ninth Annual IEEE Green Technologies Conference (GreenTech), 2017, pp. 334-341.
doi:10.1109/GreenTech.2017.55.

Sameh A. Eisa, Kevin Wedeward, and William Stone. *Time Domain Study of a Type-3 DFIG Wind Turbine's Dynamics: Q Drop Function Effect
and Attraction VS Control Limits Analysis*. 2017 Ninth Annual IEEE Green Technologies Conference (GreenTech), 2017, pp. 350-357.
doi:10.1109/GreenTech.2017.57.

**2016:**

Sameh A. Eisa, Kevin Wedeward, and William Stone. *Sensitivity Analysis of a type-3 DFAG Wind Turbine's Dynamics with Pitch Control*. 2016 IEEE Green Energy and Systems Conference (IGESC), Pages1-6.

I. G. Avramidi and B. J. Buckman. *Heat Determinant on Manifolds*. Journal of Geometry and Physics, 104 (2016) 64-88, DOI:10.1016/j.geomphys.2016.02.004

S. M. Marrero, F. M. Phillips, B. Borchers, N. Lifton, R. Aumer, and G. Balco. *Cosmogenic Nuclide Systematics and the CRONUScalc Program*. Quaternary Geochronology, Vol. 31 (2016) 160-187. Elsevier.

Sung-ho Hong, Kathryn Lenth, Robert Aumer, Brian Borchers, and Jan MH Hendrickx. *Spatial variability of SEBAL estimated root-zone soil moisture across scales*. International Journal of Remote Sensing, 37.20, (2016) 4838--4853. Taylor and Francis.

**2014:**

S. Eisa, *Numerical Curve Length Calculation Using Polynomial Interpolation*, Journal of mathematical imaging and vision, 49.2 (2014): 377-383.

S. Eisa, *Three audio CODECs using the LSM interpolation and comparison with PCM*, British Journal of Mathematics & Computer Science 4.10 (2014): 1365-1380.

S. Eisa, *Algorithms for solving linear, non-linear differential and differential-difference
equations by approximating the solution to polynomials*, International Journal of Computing Science and Mathematics 5.3 (2014): 236-251.

Margaret Snell, Anwar M. Hossain, Oleg Makhnin, and Snezna Rogelj. *Inverse associations between parabens and obesity/diabetes in adults*. Global Journal of Quantitative Science Vol. 1. No.4. December 2014 Issue, pp.1-7.

A. Krause, M. Lewis, B. Wang, *Dynamics of the non-autonomous stochastic p-Laplace equation driven by multiplicative
noise*, Applied Mathematics and Computation, 246 (2014), 365-376.

B. J. Buckman and I. G. Avramidi, *Heat Determinant on Manifolds*, arXiv:1408.2265, 41 pages, Communications in Mathematical Physics (2014), submitted.

A. Krause and B. Wang, *Pullback Attractors of Non-autonomous Stochastic Degenerate Parabolic Equations on
Unbounded Domains*, J. Mathematical Analysis and Applications, 417 (2014), 1018-1038.

**2013:**

A. Adili and B. Wang, *Random attractors for stochastic FitzHugh-Nagumo systems driven by deterministic non-autonomous
forcing*, Continuous and Discrete Dynamical Systems Series B, 18 (2013), 643-666.

A. Adili and B. Wang, *Random attractors for non-autonomous stochastic FitzHugh-Nagumo systems with multiplicative
noise*, Continuous and Discrete Dynamical Systems, Supplement (2013), 1-10.

R. Jones and B. Wang, *Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive
and dissipative terms*, Nonlinear Analysis, Real World Applications, 14 (2013), 1308-1322.

U. Herzfeld, B. McDonald, B. Wallin, T. Neumann, T. Marcus, A. Brenner, and C. Field, *An Algorithm for Detection of Ground and Canopy Cover in Micropulse Photon-Counting
Lidar Altimeter Data in Preparation of the ICESat-2 Mission*, IEEE Transactions on Geoscience and Remote Sensing, (2013).

B. Wallin, J. Mcleod, and R. Reiss, *Bayesian hidden Markov modelling of local structure in RNA sequencing data* (Poster), NMINBRE Genome Dynamics conference, 21-22 Mar, Santa Fe, New Mexico, (2013).

S. Eisa, *Mathematical Modeling and Algorithms to Simulate The Economy's Behavior*, Proceedings of the World Congress on Engineering 2013 Vol I, WCE 2013, July 3 -
5, 2013, London, U.K.

Gunter Leguy, Xylar Asay-Davis, William Lipscomb, *Basal sliding parametrization in marine ice-sheet models* (Poster), CESM (Climate Earth System Model) workshop, Breckenridge (CO), June 2013.

Gunter Leguy, Xylar Asay-Davis, William Lipscomb, *Uncertainty quantification in ice-sheet models* (Poster), Conference: MAA (Mathematical American Association), NMT, Socorro (NM),
April 2013.

T. Sueyoshi, M. Goto, M. A. Snell, *DEA environmental assessment: Measurement of damages to scale with unified efficiency
under managerial disposability or environmental efficiency*, Applied Mathematical Modelling, Volume 37, Issues 12-13, 1 July 2013, Pages 7300-7314.

**2012:**

I. G. Avramidi and S. Collopy, *Thermal Yang-Mills theory in Einstein Universe*, Journal of Physics A: Mathematical and Theoretical, 45 (2012) 374009

I. G. Avramidi and S. Collopy, *Effective action and phase transitions in thermal Yang-Mills theory on spheres*, Communications in Mathematical Physics 311 (2012) 713-753

**2011:**

U. Herzfeld, B. Wallin, C. Leuschen, and J. Plummer, *An algorithm for generalizing topography to grids while preserving subscale morphologic
characteristics-creating a glacier bed DEM for Jakobshavn trough as low-resolution
input for dynamic ice-sheet models*, Computers & Geosciences 37, no. 11 (2011): 1793-1801.

U. Herzfeld, B. Wallin, and M. Stachura, *Applications of Geostatistics in Optimal Design of Satellite Altimetry Orbits and
Measurement Configurations*, The Journal of the Astronautical Sciences 58, no. 3 (2011): 495-511.

**2010:**

G. Fucci and I. G. Avramidi, *On the gravitationally induced Schwinger mechanism*, In: Proceedings of the International Conference "Quantum Field Theory under the
Influence of External Conditions" (QFEXT09). Eds. K. A. Milton and M. Bordag (Singapore:
World Scientific, 2010), pp. 485-491

B. Wang and R. Jones, *Asymptotic behavior of a class of non-autonomous degenerate parabolic equations*, Nonlinear Analysis TMA, 72 (2010), 3887-3902.

Kasimir Gabert and Bixiang Wang, *Non-autonomous attractors for singularly perturbed parabolic equations on R^n*, Nonlinear Analysis TMA, 73 (2010), 3336-3347.

K. Gabert and B. Wang, *Non-autonomous attractors for singularly perturbed parabolic equations on R^n*, Nonlinear Analysis TMA, 73 (2010), 3336-3347.

Jonathan R. Brown, John D. McCoy and Brian Borchers. *Theory and simulation of the dynamic heat capacity of the east Ising model*. The Journal of Chemical Physics, 133.6, p. 064508, 2010. AIP.

**2009:**

I. G. Avramidi and G. Fucci, *Low-energy effective action in non-perturbative electrodynamics in curved spacetime*, Journal of Mathematical Physics 50 (2009) 102302 .

I. G. Avramidi and G. Fucci, A model for the Pioneer anomaly, Canadian Journal of Physics 87 (2009) 1089-1093.

I. G. Avramidi and G. Fucci, *Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles*, Communications in Mathematical Physics 291 (2009) 543-577.

I. G. Avramidi and G. Fucci, *Kinematics in matrix gravity*, General Relativity and Gravitation, 41 (2009) 1407-1435.

G. Fucci and I. G. Avramidi, *Non-commutative corrections in spectral matrix gravity*, Classical and Quantum Gravity 26 (2009) 045019.

G. Fucci, B. Wang and P. Singh, *Asymptotic behavior of the Newton-Boussinesq equation in a two-dimensional channel*, Nonlinear Analysis TMA, 70 (2009), 2000-2013.

B. Wang and X. Gao, *Random attractors for wave equations on unbounded domains*, Discrete and Continuous Dynamical Systems, Special(2009), 800-809.

**2008:**

G. Fucci and I. G. Avramidi, *Non-commutative Einstein equations*, Classical and Quantum Gravity, 25 (2008) 025005.

T. Trujillo and B. Wang, *Continuity of strong solutions of the Reaction-Diffusion equation in initial data*, Nonlinear Analysis TMA, 69 (2008), 2525-2532.

Bixiang Wang and Siyu Lin, *Existence of global attractors for the three-dimensional Brinkman-Forchheimer equation*, Mathematical Methods in the Applied Sciences, 31 (2008), 1479-1495.

B. Wang and S. Lin, *Existence of global attractors for the three-dimensional Brinkman-Forchheimer equation*, Mathematical Methods in the Applied Sciences, 31 (2008), 1479-1495.

**2007:**

B. Wang, D. W. Fussner and Ch. Bi. *Existence of global attractors for the Benjamin-Bona-Mahony equation in unbounded
domains*, J. Phys. A, 40 (2007), 10491-10504.

Brian Borchers and Joseph G. Young. *Implementation of a primal-dual method for SDP on a shared memory parallel architecture*. Computational Optimization and Applications, 37.3, (2007) 355-369. Springer.

If you would like to view a postscript (.ps) file, but don't yet have a viewer, click here.