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/**

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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

## 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

## 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

## 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

## 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

## 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