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 2010 2019
Gravitating relativistic material bodies: a mathematical analysis
Australian Research Council (ARC), Monash University
1/01/17 → 31/12/19
Project: Research
Research Output 2002 2017
- 33 Article
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
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
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
Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
Oliynyk, T. A. 1 Aug 2016 In : Communications in Mathematical Physics. 346, 1, p. 293-312 20 p.Research output: Contribution to journal › Article › Research › peer-review
The Newtonian limit on cosmological scales
Oliynyk, T. 2015 In : Communications in Mathematical Physics. 339, 2, p. 455-512 58 p.Research output: Contribution to journal › Article › Research › peer-review
Prizes
Australian Research Council Future Fellowship
Todd Oliynyk (Recipient), 2012
Prize: Competitive Fellowships
Fellow of the Australian Mathematical Society
Todd Oliynyk (Recipient), 2012
Prize: Election to learned society
The Australian Mathematical Society Medal
Todd Oliynyk (Recipient), 2011
Prize: National/international honour