Olga Trichtchenko, Assistant Professor

Olga TrichtchenkoContact Information

Office: PAB 112
E-mail: otrichtc@uwo.ca

Personal web page

Research Areas

Mathematical and computational methods for nonlinear differential equations, dispersive equations, fluid mechanics with a focus on water waves and waves under ice, mathematical modelling, perturbation theory and asymptotics, stability analysis

Research Interests

Fluid dynamics, a field of study as ancient as our earliest civilizations, remains a critical area of research given that over 70% of our planet is water. From the waves cresting onto the shore to the wakes left by boats, from the deformation of ice under the weight of transport trucks to the complex flow of blood - these captivating phenomena are ones we strive to understand. In our group, we harness advanced computing techniques, including machine learning, to decode these intricate patterns. Our interdisciplinary approach encompasses the development of mathematical models that capture all relevant physical aspects of diverse fluid conditions, the creation of computational methods to solve these resulting equations, and stability analyses to assess the real-world potential of our findings. However, the reach of these methods goes beyond just fluid dynamics, with applicability in a broad range of other scientific fields.

Publications

  1. Ţugulan, C., Trichtchenko, O., Părău, E. “Three-dimensional waves under ice computed with novel preconditioning methods” (2022) Journal of Computational Physics, 459, art. no. 111129 DOI:10.1016/j.jcp.2022.111129
  2. Creedon, R., Deconinck, B., Trichtchenko, O. “High-frequency instabilities of Stokes waves”, (2022) Journal of Fluid Mechanics, 937, art. no. A24 DOI:10.1017/jfm.2021.1119
  3. Creedon, R., Deconinck, B., Trichtchenko, O. “High-frequency instabilities of a Boussinesq-Whitham system: A perturbative approach” (2021) Fluids, 6 (4), art. no. 136 DOI:10.3390/fluids6040136
  4. Creedon, R., Deconinck, B., Trichtchenko, O. “High-frequency instabilities of the Kawahara equation: A perturbative approach” (2021) SIAM Journal on Applied Dynamical Systems, 20 (3), pp. 1571-1595. DOI:10.1137/21M1393376

[Complete Publication Listing (Scopus)]

Teaching

Undergraduate:
IS1001X: Exploring Science
Physics 2110: Oscillations & Waves

Graduate:
Physics 9610: Fundamentals of Physics

Professional Activities

  • Committee Member and Activity Group leader for Fluid Dynamics - Canadian Applied and Industrial Mathematics Society
  • Committee Member - Society for Industrial and Applied Mathematics nonlinear waves and coherent structures interest group