Projects per year
Personal profile
Research interests
Partial differential equations: singular limits of symmetric hyperbolic systems, geometric PDEs. General relativity: Newtonian limit, post-Newtonian expansions, Einstein-Yang-Mills, gravitating perfect fluids and elastic bodies. Geometric flows: Ricci flow, renormalization group flow.
Biography
External website: https://sites.google.com/site/toddoliynyk/
Collaborations and top research areas from the last five years
Recent external collaboration on country/territory level. Dive into details by clicking on the dots or
Projects
- 3 Finished
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Gravitating relativistic material bodies: a mathematical analysis
Australian Research Council (ARC), Monash University
1/01/17 → 22/12/20
Project: Research
Research output
- 43 Article
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A polyhedral discrete de Rham numerical scheme for the Yang–Mills equations
Droniou, J., Oliynyk, T. A. & Qian, J. J., 1 Apr 2023, In: Journal of Computational Physics. 478, 20 p., 111955.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
Future instability of FLRW fluid solutions for linear equations of state p=Kρ with 1/3<K<1
Beyer, F., Marshall, E. & Oliynyk, T. A., 15 May 2023, In: Physical Review D. 107, 10, 14 p., 104030.Research output: Contribution to journal › Article › Research › peer-review
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Stability of asymptotic behaviour within polarized T2-symmetric vacuum solutions with cosmological constant
Ames, E., Beyer, F., Isenberg, J. & Oliynyk, T. A., 2 May 2022, In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 380, 2222, 25 p., 20210173.Research output: Contribution to journal › Article › Research › peer-review
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Stability of AVTD Behavior Within the Polarized T2 -Symmetric Vacuum Spacetimes
Ames, E., Beyer, F., Isenberg, J. & Oliynyk, T. A., 23 Jan 2022, In: Annales Henri Poincare. 23, 7, p. 2299–2343 45 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
A Fuchsian viewpoint on the weak null condition
Oliynyk, T. A. & Olvera-Santamaría, J. A., 25 Sept 2021, In: Journal of Differential Equations. 296, p. 107-147 41 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access2 Citations (Scopus)
Prizes
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Australian Research Council Future Fellowship
Oliynyk, Todd (Recipient), 2012
Prize: Competitive Fellowships
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Fellow of the Australian Mathematical Society
Oliynyk, Todd (Recipient), 2012
Prize: Election to learned society
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The Australian Mathematical Society Medal
Oliynyk, Todd (Recipient), 2011
Prize: National/international honour