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

## 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

## 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

## 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