Dr. Mikhail Khenner

Mikhail Khenner

Professor
Department of Mathematics
Western Kentucky University
Bowling Green, KY 42101

Member, WKU Applied Physics Institute
Graduate Director, Mathematics MS Program (Fall 2022 - )

Office:	4113 COHH
Phone:	270-745-2797
Email:	mikhail.khenner AT wku dot edu
Home Page:	http://people.wku.edu/mikhail.khenner/
ResearchGate:	https://www.researchgate.net/profile/Mikhail_Khenner/

PhD : Université de la Mediterranée, Aix-Marseille II, France PhD Thesis in French    Figures    Journal article
Perm State University, Russia

Advisors: Prof. Dmitrii V. Lyubimov
Dr. Bernard Roux

CV    (last update: November 2024)

My research centers around PDE-based modeling and computation in nanoscience and materials science.
Models that I develop usually result in a highly nonlinear, high-order parabolic PDE(s).
For their analysis I employ methods of the stability theory, perturbation theory, nonlinear dynamics, and the numerical simulations.
Analyses range from more theoretical to more applied (where a quantitative matching of a model to an experiment is desired).

Recent publications:

Moiré-regulated composition evolution kinetics of bicomponent nanoclusters , Journal of Nanoparticle Research 26, 255 (2024) View only version from the publisher ArXiv

On Nanowire Morphological Instability and Pinch-Off by Surface Electromigration (2024) ArXiv

Nanowire breakup via a morphological instability enhanced by surface electromigration , Modelling and Simulation in Materials Science and Engineering 32, 015003 (2024) ArXiv

Synthesis and Characterization of a Zirconium (Zr) Thin Film on Si(100) via Pulsed Laser Deposition , with Z. Khuzhakulov, S. Kylychbekov, Y. Allamyradov, I. Majidov, J. Terzic, D. Gurgew, and A.O. Er, Coatings 13, 1748 (2023)

Effect of electromigration on onset of morphological instability of a nanowire , Journal of Engineering Mathematics 140, 6 (2023) ArXiv

Kinetic models of Quantum Size Effect-directed nanocluster self-assembly in atomic corrals , Journal of Physics: Condensed Matter 34, 485002 (2022) ArXiv

Vacancy-mediated suppression of phase separation in a model two-dimensional surface alloy by the difference of the atomic jump rates , Surface Science 722, 122100 (2022) ArXiv

A mesoscopic model of nanoclusters self-assembly on a graphene Moiré, with Lars Hebenstiel, Journal of Applied Physics 130, 124301 (2021) ArXiv

Directed long-range transport of a nearly pure component atom clusters by the electromigration of a binary surface alloy, Physical Review Materials 5, 024001 (2021) ArXiv

Modeling evolution of composition patterns in a binary surface alloy, with Victor Henner, Modelling and Simulation in Materials Science and Engineering 29, 015002 (2020) ArXiv

Electromigration-guided composition patterns in thin alloy films: a computational study, Surface Science 698, 121611 (2020) ArXiv

Morphology and structure of Pb thin films grown on Si(111) by pulsed laser deposition, with Bektur Abdisatarov, Saidjafarzoda Ilhom, Khomidkhodzha Kholikov_,Devon Loomis, Vladimir Dobrokhotov, and Ali Oguz Er, Applied Physics A 126, 237 (2020)

Morphologies, metastability and coarsening of quantum nanoislands on the surfaces of the annealed Ag(110) and Pb(111) thin films, with Donald Price and Victor Henner, Journal of Applied Physics 124, 174302 (2018) ArXiv

Kinetics of nanorings formation on surfaces of stressed thin films , with Lin Du and Dimitrios Maroudas, Physical Review Materials 2, 083403 (2018) (Lin and Dimitrios take most credit for this insightful work)

Modeling solid-state dewetting of a single-crystal binary alloy thin films, Journal of Applied Physics 123, 034302 (2018) ArXiv

Height transitions, shape evolution, and coarsening of equilibrating quantum nanoislands, Modelling and Simulation in Materials Science and Engineering 25, 085003 (2017) ArXiv

Interplay of quantum size effect, anisotropy and surface stress shapes the instability of thin metal films, Journal of Engineering Mathematics 104(1), 77-92 (2017) ArXiv

Model for computing kinetics of the graphene edge epitaxial growth on copper , Physical Review E 93, 062806 (2016) ArXiv

More published research (1998-2020)