Elliot Marshall

I am a PhD candidate working with Todd Oliynyk on mathematical and numerical relativity at the School of Mathematics at Monash University. A copy of my CV can be found here.

Physical Address:
School of Mathematics
Monash University
9 Rainforest Walk, VIC 3800, Australia

E-mail: elliot.marshall@monash.edu
Hanging Rock
At Hanging Rock, Victoria

Research Interests

General Relativity, Partial Differential Equations, Numerical Methods, Analysis. My current work uses a combination of analytical and numerical methods to study the global stability properties of cosmological perfect fluid models in Einstein's general theory of relativity.

Preprints and Publications

  1. (with Grigorios Fournodavlos and Todd Oliynyk) Future stability of perfect fluids with extreme tilt and linear equation of state p=c2sρ for the Einstein-Euler system with positive cosmological constant: The range 1/3 < c2s < 3/7 arXiv:2404.06789
  2. (with Florian Beyer and Todd Oliynyk) Future instability of FLRW fluid solutions for linear equations of state p=Kρ with 1/3 < K < 1, Phys. Rev. D, 107, (2023), 104030, pdf
  3. (with Todd Oliynyk) On the stability of relativistic perfect fluids with linear equations of state p=Kρ where 1/3 < K < 1, Lett. Math. Phys. 113 (2023), 102, pdf

Education

  • PhD in Mathematics (2022 - Present), Monash University, Main Supervisor: Todd Oliynyk, External Co-Supervisor: Florian Beyer
  • BSc (Hons), 1st Class in Mathematics (2021), University of Otago, Supervisor: Jörg Frauendiener
  • BSc in Mathematics (2020), University of Otago.

    • Past and Upcoming Talks

  • Future Instability of Relativistic Perfect Fluids at the 12th Australasian Conference on General Relativity and Gravitation (ACGRG), Hobart, Tasmania, November 27 - December 1, 2023.
  • Future Instability of Relativistic Perfect Fluids at the MATRIX conference on Hyperbolic PDEs and Non-Linear Evolution Problems, Creswick, Australia, September 18-29, 2023
  • Future Instability of Relativistic Perfect Fluids at the Australia-New Zealand Student Conference on Relativity, Cosmology, and Astrophysics (Online), May 8-10, 2023.
  • The Future Stability of Relativistic Perfect Fluids at the Interdisciplinary junior scientist workshop: Mathematical General Relativity, Wildberg, Germany, February 26 - March 10, 2023.

    • Professional Activities

  • I was the main organiser of the first Australia-New Zealand Student Conference on Relativity, Cosmology, and Astrophysics, May 8-10, 2023.