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 level. Dive into details by clicking on the dots.
Projects
- 3 Finished
Gravitating relativistic material bodies: a mathematical analysis
Australian Research Council (ARC), Monash University
1/01/17 → 31/12/19
Project: Research
Research Output
- 35 Article
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
1
Citation
(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
1
Citation
(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
5
Citations
(Scopus)
Classical-quantum limits
Oliynyk, T. A., Dec 2016, In : Foundations of Physics. 46, 12, p. 1551-1572 22 p.Research output: Contribution to journal › Article › Research › peer-review
1
Citation
(Scopus)
Dynamical compact elastic bodies in general relativity
Andersson, L., Oliynyk, T. A. & Schmidt, B. G., 2016, In : Archive for Rational Mechanics and Analysis. 220, 2, p. 849-887 39 p.Research output: Contribution to journal › Article › Research › peer-review
3
Citations
(Scopus)
Prizes
Australian Research Council Future Fellowship
Oliynyk, Todd (Recipient), 2012
Prize: Competitive Fellowships
Fellow of the Australian Mathematical Society
Oliynyk, Todd (Recipient), 2012
Prize: Election to learned society
The Australian Mathematical Society Medal
Oliynyk, Todd (Recipient), 2011
Prize: National/international honour