Research

Publications

  1. D. R. Adhikari and E. Stachura, A general p-curl system and duality mappings on Sobolev spaces for the Maxwell equations. Submitted. 
  2. C. Mayer and E. Stachura, Traveling Wave Solutions for a Cancer Stem Cell Invasion Model of Melanoma. Submitted
  3. E. Stachura, Acoustic wave propagation in anisotropic media with applications to piezoelectric materials. To appear in Applicable Analysis
  4. A. Benyi, J. M. Martell, K. Moen, E. Stachura, and R. Torres, Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach. Mathematische Annalen, 376 (1), 61-102, 2020.
  5. E. Stachura, Existence of Propagators for time dependent Coulomb-like PotentialsRocky Mountain Journal of Mathematics, Vol. 49 (7), 2347-2374, 2019. 
  6. A. Hunter and E. Stachura, A quantitative method for choosing optimal Daubechies wavelets. Advances in Inequalities and Applications, Vol. 2018, 12: 2018.
  7. C. E. Gutierrez, L. Pallucchini, and E. Stachura, General Refraction Problems with Phase Discontinuity on non flat Metasurfaces. Journal of the Optical Society of America A, Vol. 34(7): 1160-1172, 2017.
  8. E. Stachura, Existence of Weak Solutions to Refraction Problems in Negative Refractive Index Materials. Nonlinear Analysis, Vol. 157, 76-103, 2017.
  9. E. Stachura, The Time Dependent Maxwell System with Measurable Coefficients in Lipschitz Domains. Journal of Mathematical Analysis and Applications, Vol. 452 (2), 941-956, 2017.
  10. C. E. Gutierrez and E. Stachura, Metamaterial Lens Design. Journal of the Optical Society of America A, Vol. 33(10), 2020-2026, 2016.
  11. E. Stachura, On Generalized Solutions to Some Problems in Electromagnetism and Geometric Optics. Ph.D Thesis, 2016.
  12. C. E. Gutierrez and E. Stachura, Uniform Refraction in Negative Refractive Index Materials. Journal of the Optical Society of America A, Vol. 32(11), pp. 2110-2122, 2015.
  13. I. Mitrea, K. Ott, and E. Stachura, Spectral Properties of the Reflection Operator in Two Dimensions. Contemporary Mathematics, Vol. 581, pp. 199-215, 2012.

 

Mathematical Modeling Scenarios

  1. E. Stachura and T. Lozano (2019), "3-061-S-ChemEng," https://www.simiode.org/resources/6481.
  2. R. Krueger and E. Stachura (2019), "10-001-S-TilingHallway," https://www.simiode.org/resources/6417
  3. E. Stachura (2019), "9-010-S-TravelingWaves," https://www.simiode.org/resources/6296.
  4. E. Stachura (2019), "9-005-S-InvasiveSpeciesModel," https://www.simiode.org/resources/6200.
  5. E. Stachura and R. Krueger (2018), "6-024-S-DronePackageDelivery", https://www.simiode.org/resources/5422

 

Undergraduate

  1. C. E. Gerber, R. Horisberger, and E. Stachura, General Purpose Silicon Trigger Board for the CMS Pixel Read Out ChipsJournal of Undergraduate Research at the University of Illinois at Chicago, 4.1, 2010. 
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