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/
Network
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
- 37 Article
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Stabilizing Relativistic Fluids on Spacetimes with Non-Accelerated Expansion
Fajman, D., Oliynyk, T. A. & Wyatt, Z., 7 Jan 2021, In: Communications in Mathematical Physics. 383, p. 401–426 26 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access8 Citations (Scopus) -
The Fuchsian approach to global existence for hyperbolic equations
Beyer, F., Oliynyk, T. A. & Olvera-Santamaría, J. A., 2021, In: Communications in Partial Differential Equations. 46, 5, p. 864-934 71 p.Research output: Contribution to journal › Article › Research › peer-review
5 Citations (Scopus) -
Cosmological Newtonian Limits on Large Spacetime Scales
Liu, C. & Oliynyk, T., 1 Dec 2018, In: Communications in Mathematical Physics. 364, 3, p. 1195-1304 110 p.Research output: Contribution to journal › Article › Research › peer-review
9 Citations (Scopus) -
Newtonian Limits of Isolated Cosmological Systems on Long Time Scales
Liu, C. & Oliynyk, T., 1 Jul 2018, In: Annales Henri Poincare. 19, 7, p. 2157-2243 87 p.Research output: Contribution to journal › Article › Research › peer-review
9 Citations (Scopus) -
A priori estimates for relativistic liquid bodies
Oliynyk, T. A., 1 May 2017, In: Bulletin des Sciences Mathematiques. 141, 3, p. 105-222 118 p.Research output: Contribution to journal › Article › Research › peer-review
8 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