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Mathematics Faculty & Staff

Dr. Özkan Özer
Dr. Özkan Özer
- Associate Professor
Academic Bio

2021-Present: Associate Professor, Western Kentucky University, KY, USA
2016-2021: Assistant Professor of Mathematics, Western Kentucky University, KY, USA
2013-2016: Postdoctoral fellow, University of Nevada, Reno, NV, USA
2011-2013: Postdoctoral fellow, Department of Applied Mathematics, University of Waterloo, ON, Canada
2006-2011: Ph.D. in Applied Mathematics, Iowa State University, IA, USA
2006: M.Sc. in Pure Mathematics, ICTP, Trieste, Italy
2004: M.Sc. in Engineering Mechanics, Istanbul Technical University, Turkey
2001: B.Sc. in Mathematical Engineering, Istanbul Technical University

Research and Selected Publications

Dr. Özer's research projects use mathematics, engineering, material science, control theory, and computer simulations to better understand controlled physical phenomena ranging from purely elastic to smart material systems. The problems my research group approaches have applications such as MEMs, space robotics, energy harvesters, and other structurally-embedded smart material systems being used in industry.

  • A.Ö. Özer, A.K. Aydin, (2022) Uniform boundary observability of filtered finite difference approximations of a Mead-Marcus sandwich beam equation with only one boundary observation, Proceedings of the 61st IEEE Conf. on Decision and Control, accepted.
  • M. Poynter, L. Stewart, A.K. Aydin, A.Ö. Özer, (2022) Boundary-Feedback Control of Vibrations on a String with and without Filtering, Wolfram Demonstrations Project, Published: June 30, 2022. https://demonstrations.wolfram.com/BoundaryFeedbackControlOfVibrationsOnAStringWithAndWithoutFi/
  • G. Liu, A.Ö. Özer, M. Wang (2022), Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects, Nonlinear Analysis: Real World Applications, vol. 68, 103666. DOI: 10.1016/j.nonrwa.2022.103666
  • M.J. Dos Santos, A.Ö. Özer, M.M. Freitas, A.J.A Ramos, D.S. Almeida Junior (2022), On global attractors for a novel nonlinear piezoelectric beam model with magnetic effects and long-range memory, Zeitschrift für angewandte Mathematik und Physik (ZAMP), 73, Article Number: 136. DOI: 10.1007/s00033-022-01779-9
  • M.M. Freitas, A.Ö. Özer, A.J.A Ramos, (2022) Long time dynamics and upper semi-continuity with respect to magnetic permeability of attractors to electrostatic piezoelectric beams with nonlinear boundary dissipation, ESAIM: Control, Optimisation and Calculus of Variations, Volume 27, Article Number 39, 26 pages. DOI: 10.1051/cocv/2022036
  • B. Feng, A.Ö. Özer, (2022) Exponential stability results for the boundary-controlled fully-dynamic piezoelectric beams with various distributed and boundary delays, Journal of Mathematical Analysis and Applications, 508-1, 125845. DOI: 10.1016/j.jmaa.2021.125845
  • A.Ö. Özer, W. Horner, (2021) Uniform boundary observability of Finite Difference approximations of non-compactly-coupled piezoelectric beam equations, Applicable Analysis, (101-5), 1571-1592. DOI: 10.1080/00036811.2021.1936508.
  • M. M. Freitas, A.J.A. Ramos, A.Ö. Özer, D. S. Almeida Jr., D, (2021) Long time dynamics for fractional piezoelectric system with magnetic and thermal effects, Journal of Differential Equations (280), 891-927, DOI:10.1016/j.jde.2021.01.030.
  • A.J.A. Ramos, A.Ö. Özer, M. M. Freitas,, D. S. Almeida Jr., D. Martins, (2021) Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback, Zeitschrift für angewandte Mathematik und Physik (ZAMP), (72-26) pp. 1-15. DOI: 10.1007/s00033-020-01457-8.
  • A.Ö. Özer, (2021) Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations, Applied Mathematics and Optimization, 84, 877–914, DOI: 10.1007/s00245-020-09665-4.
  • A.Ö. Özer, K.A. Morris, (2019) Modeling and stabilization of current-controlled piezoelectric beams with dynamic electromagnetic field, ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), (26-8), 1-24.
  • A.Ö. Özer, (2018) Potential formulation for charge or current-controlled piezoelectric smart composites and stabilization results: electrostatic vs. quasi-static vs. fully-dynamic approaches, IEEE Transactions on Automatic Control, (64-3), 989-1002.
  • A.Ö. Özer, (2017) Modeling and controlling an active constrained layered (ACL) beam actuated by two voltage sources with/without magnetic effects, IEEE Transactions on Automatic Control, (62-12), 6445-6450.
  • K. Morris, A.Ö. Özer, (2014) "Modeling and stabilizability of voltage-actuated piezoelectric beams with magnetic effects," SIAM Journal on Control and Optimization, (52-4), 2371-2398.
  • A.Ö. Ozer, S. W. Hansen, (2014) "Exact controllability result for a multi-layer Rao-Nakra sandwich beam," SIAM Journal on Control and Optimization, (52-2), 1314-1337.
  • A.Ö. Ozer, S. W. Hansen, (2013) "Uniform stabilization of a multi-layer Rao-Nakra sandwich beam," Evolution Equations and Control Theory, (2-4), 695-710.
Sponsored Projects

TOTAL: $133,709

Awarded amount: $21,272 (September 2022-July 2023) (KY NSF EPSCoR-URE) Developing a Novel Computational Framework of Piezoelectric Transducers for Contactless Energy Harvesting

Awarded amount: $68,403 (August 2021-July 2022) (KY NSF EPSCoR-RIA) Robust-filtering of sensor data to optimize feedback-controlled software on structurally-embedded smart-material systems.

Awarded amount: $19,705 (November 2019-June 2020) (KY NSF EPSCoR-URE) Developing a novel computational toolbox for the structurally-embedded smart material systems by feedback controllers.

Awarded amount: $15,718 (June 2019-December 2020 ) (Western Kentucky University-RCAP) Developing a novel approximation toolbox for the control of a large class of vibrating smart material systems.

Awarded amount: $2,622 (Spring 2020) (Western Kentucky University-QTAG) Investigation of Student Learning with Short Instructional Calculus Videos enriched by Wolfram Mathematica.

Awarded amount: $3,000 (January 2020-April 2021) (Western Kentucky University-FUSE) Stable approximations of the PDE model for controlling unwanted vibrations on a layered piezoelectric laminate.

Awarded amount: $3,000 (January 2019-April 2020) (Western Kentucky University-FUSE) A numerical investigation for the vibration control of piezoelectric devices.

Teaching Calculus and Differential Equations

Calculus is not hard yet fun if it is taught right. Calculus can be enriched for active and problem oriented-teaching and for fostering mathematical experiments and discoveries both in classroom and at home. Illustrations with interactive and real-world demonstrations help students better comprehend calculus concepts. This way students better appreciate Calculus. I have been developing my own Wolfram’s Demonstration Projects, in addition to the (recently popularized) Desmos and Geogebra simulations. With its rules, formulas and derivations, calculus and differential equations can be overwhelming for some students. Without simulations it is so dry. Someone should show them the good side of calculus with visuals and make it more fun. I have produced over 850 short instructional videos for calculus and differential equations. Some of them are free-access and have been watched over 750,000 times at my YouTube Channel: http://www.youtube.com/c/mathbydrozz

For more info, check out: Calculus I Videos and Calculus II Videos.

Cengage, a textbook publisher, has recently acquired the rights of around 100 videos I recorded only for them. These videos are blended in their e-book, A First Course in Differential Equations with Modeling Applications by D. Zill, via the platform called WebAssign, a student assessment system, and accessed by approximately 165 countries and territories around the world.

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 Last Modified 1/24/22