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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

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Projects 2010 2019

Research Output 2002 2018

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 journalArticleResearchpeer-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 journalArticleResearchpeer-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 journalArticleResearchpeer-review

Classical-quantum limits

Oliynyk, T. A., Dec 2016, In : Foundations of Physics. 46, 12, p. 1551-1572 22 p.

Research output: Contribution to journalArticleResearchpeer-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 journalArticleResearchpeer-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

Fulbright Senior Scholarship

Todd Oliynyk (Recipient), 2017

Prize: Competitive Fellowships

The Australian Mathematical Society Medal

Todd Oliynyk (Recipient), 2011

Prize: National/international honour