| Anastassiya Semenova | |
| Department of Applied Mathematics, University of Washington. | |
| Acting Instructor | |
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| Contacts: | |
| Office: | LEW 230 E |
| E-mail: | asemenov@uw.edu |
| Address: |
Anastassiya Semenova Department of Applied Mathematics, Lewis Hall 201, Box 353925, University of Washington, Seattle, WA 98195-3925, USA |
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| Research interests: | |
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Fluid dynamics. Stability of water waves. Formation of rogue and Stokes waves in ocean. Wave turbulence. Nonlinear Schroedinger equation and solitons. Metamaterials. Numerical methods for nonlinear PDEs. Scientific computing. Discontinuous Galerkin methods. |
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| Education: | |
| PhD in Mathematics |
University of New Mexico, December 2020 Advisors: Alexander O. Korotkevich, Pavel M. Lushnikov Topic: Numerical Simulations of Nonlinear Waves and Their Stability: Stokes Waves and Nonlinear Schroedinger Equation |
| Higher education |
University of New Mexico, BS in Applied Mathematics with minor in Physics, May 2013, Suma Cum Laude Honors Diploma Advisor: Alexander O. Korotkevich MS in Mathematics, December 2016 Advisor: Alexander O. Korotkevich |
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| Publications: | |
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A. Semenova, S.A. Dyachenko, A.O. Korotkevich, and P.M. Lushnikov, Comparison of Split-Step and Hamiltonian Integration Methods for Simulation of the Nonlinear Schrödinger Equation, Journal of Computational Physics, 427: 110061 (2021). arXiv:2008.03938 DOI: 10.1016/j.jcp.2020.110061 |
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A.O. Korotkevich, P.M. Lushnikov, A. Semenova and S.A. Dyachenko, Superharmonic Instability of Stokes Waves, Studies in Applied Mathematics, 150(1):119-34 (2023). DOI: 10.1111/sapm.12535 arXiv:2206.00725 PDF) |
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S.A. Dyachenko and A. Semenova, Canonical conformal variables based method for stability of Stokes waves, Studies in Applied Mathematics , 150(3):705-15 (2023). DOI: 10.1111/sapm.12554 |
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B. Deconinck, S. A. Dyachenko, P. M. Lushnikov, A. Semenova, The instability of near-extreme Stokes waves, Proceedings of the National Academy of Sciences, 120(32):p.e2308935120 (2023) DOI: pnas.2308935120 |
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S. A. Dyachenko and A. Semenova, Quasiperiodic perturbations of Stokes waves: Secondary bifurcations and stability, Journal of Computational Physics, 112411 (2023) DOI: j.jcp.2023.112411 |
6. | Bhavna, A. Kumar Pandey, A. Semenova, Transverse spectral instability in rotation-modified Kadomtsev-Petviashvili equation and related models, Archive for Rational Mechanics and Analysis submitted 2023. | 7. | A. Semenova, S. A. Dyachenko, B. Deconinck, Recurrence of Benjamin-Feir and localized instabilities in almost limiting Stokes waves, in preparation |
| 8. | A. Semenova, Steady Water Waves in Finite Depth Ideal Fluid, in preparation |
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| Teaching: | Winter Quarter 2023: | AMATH402, AMATH502 Introduction to Dynamical Systems and Chaos |
| Spring Quarter 2023: | AMATH403, AMATH503 Methods for Partial Differential Equations |
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| Media: | Phys.org News: |
B. Deconinck, S. A. Dyachenko, P. M. Lushnikov, A. Semenova, The instability of near-extreme Stokes waves, Proceedings of the National Academy of Sciences (2023): phys.org/news/2023-08-oceanic-fundamental-nonlinear-science-mathematicians.html |
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