Dr Christopher Lustri
People_

Dr Christopher Lustri

Phone
9351 3879
Fax
9351 4534
Address
F07 - Carslaw Building
The University of Sydney
Dr Christopher Lustri

I am an expert in using asymptotic methods to find solutions to continuous and discrete problems arising within applied mathematics.

In particular, I am interested in using exponential asymptotic techniques to explore behaviour that is invisible to classical asymptotic methods. I spend a lot of time looking at a special class of behaviour known as the Stokes Phenomenon, that only appears at exponentially small orders in an asymptotic expression. Understanding this behaviour can be an important way to describe effects that normally lie beyond the reach of common asymptotic methods.

I studied a BEng (Hons)/BAppSci (Hons) at the Queensland University of Technology in Brisbane, writing an Honours and Masters project with Prof. Scott McCue. I moved to the University of Oxford in 2009 to study for my DPhil., under the supervision of Prof. Jon Chapman, studying exponential asymptotics in unsteady and three-dimensional flows. I was awarded my doctorate in 2013.
I moved back to Australia, and worked at The University of Sydney as a postdoc with Prof. Nalini Joshi on the asymptotics of discrete integrable systems. In 2016, I was appointed as a Lecturer in Applied Mathematics at Macquarie University where I worked until 2023, after which I returned to The University of Sydney in my current role as a Senior Lecturer in Mathematics.

My research largely falls into three themes:

Asymptotic Methods

  • Exponential asymptoticsin differential and difference equations
  • Ordinary and higher-order Stokes Phenomenon
  • Multiple scales techniques on discrete domains

Fluid Dynamics

  • Free-surface flows and water waves
  • Formation of air bubbles in viscous fluid

Discrete Systems

  • Approximating solutions to discrete special functions
  • Solitary wave behaviour in particle chains and lattices
  • Collective motion of insects or other agents

Publications

Journals

  • Entwistle, H., Lustri, C., Sofronov, G. (2024). Asymptotic Duration for Optimal Multiple Stopping Problems. Mathematics, 12 (Open Access)(5), Article 652 - 1-Article 652 - 12. [More Information]
  • Andersen, C., Lustri, C., McCue, S., Trinh, P. (2024). On the selection of Saffman-Taylor viscous fingers for divergent flow in a wedge. Journal of Fluid Mechanics, 987(May 2024), A42-1-A42-31. [More Information]
  • Carlesso, D., McNab, J., Lustri, C., Garnier, S., Reid, C. (2023). A simple mechanism for collective decision-making in the absence of payoff information. Proceedings of the National Academy of Sciences of the United States of America, 120(29), e2216217120-1-e2216217120-11. [More Information]

Conferences

  • Vogt, R., Lustri, C., Sridharan, S. (2008). Factor Analysis Modelling for Speaker Verification with Short Utterances. Odyssey 2008: The Speaker and Language Recognition Workshop, Africa: International Speech Communication Association (ISCA).

2024

  • Entwistle, H., Lustri, C., Sofronov, G. (2024). Asymptotic Duration for Optimal Multiple Stopping Problems. Mathematics, 12 (Open Access)(5), Article 652 - 1-Article 652 - 12. [More Information]
  • Andersen, C., Lustri, C., McCue, S., Trinh, P. (2024). On the selection of Saffman-Taylor viscous fingers for divergent flow in a wedge. Journal of Fluid Mechanics, 987(May 2024), A42-1-A42-31. [More Information]

2023

  • Carlesso, D., McNab, J., Lustri, C., Garnier, S., Reid, C. (2023). A simple mechanism for collective decision-making in the absence of payoff information. Proceedings of the National Academy of Sciences of the United States of America, 120(29), e2216217120-1-e2216217120-11. [More Information]
  • VandenHeuvel, D., Lustri, C., King, J., Turner, I., McCue, S. (2023). Burgers’ equation in the complex plane. Physica D: Nonlinear Phenomena, 448(June 2023), 133686-1-133686-19. [More Information]
  • Lustri, C., Aniceto, I., Vandenheuvel, D., McCue, S. (2023). Locating complex singularities of Burgers' equation using exponential asymptotics and transseries. Proceedings of the Royal Society A, 479(2278). [More Information]

2022

  • Lustri, C. (2022). Exponential asymptotics for elastic and elastic-gravity waves on flow past submerged obstacles. Journal of Fluid Mechanics, 950, A6-1-A6-39. [More Information]
  • Deng, G., Lustri, C. (2022). Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation. Studies in Applied Mathematics, 150, 520-557. [More Information]
  • Entwistle, H., Lustri, C., Sofronov, G. (2022). On asymptotics of optimal stopping times. Mathematics, 10(2), 194-1-194-18. [More Information]

2021

  • Aniceto, I., Hasenbichler, D., Howls, C., Lustri, C. (2021). Capturing the cascade: a transseries approach to delayed bifurcations. Nonlinearity, 34, 8248-8282.
  • Aniceto, I., Hasenbichler, D., Howls, C., Lustri, C. (2021). Capturing the cascade: A transseries approach to delayed bifurcations. Nonlinearity, 34(12), 8248-8282. [More Information]
  • Lutz, M., Reid, C., Lustri, C., Kao, A., Garnier, S., Couzin, I. (2021). Individual error correction drives responsive self-assembly of army ant scaffolds. Proceedings of the National Academy of Sciences of the United States of America, 118(17), e2013741118-1-e2013741118-8. [More Information]

2020

  • Lustri, C., Koens, L., Pethiyagoda, R. (2020). A note on the Stokes phenomenon in flow under an elastic sheet. Philosophical Transactions of the Royal Society A, 378(2179), 20190530-1-20190530-16. [More Information]
  • Lustri, C. (2020). Nanoptera and Stokes curves in the 2-periodic Fermi–Pasta–Ulam–Tsingou equation. Physica D: Nonlinear Phenomena, 402, 132239-1-132239-13. [More Information]
  • Lustri, C., Green, C., McCue, S. (2020). Selection of a Hele-Shaw Bubble via Exponential Asymptotics. SIAM Journal on Applied Mathematics, 80(1), 289-311. [More Information]

2019

  • Joshi, N., Lustri, C. (2019). Generalized solitary waves in a finite-difference Korteweg-de Vries equation. Studies in Applied Mathematics, 142(3), 359-384. [More Information]
  • Joshi, N., Lustri, C., Luu, S. (2019). Nonlinear q-Stokes phenomena for q-Painleve I. Journal of Physics A: Mathematical and Theoretical, 52(6), 1-30. [More Information]
  • Alfimov, G., Korobeinikov, A., Lustri, C., Pelinovsky, D. (2019). Standing lattice solitons in the discrete NLS equation with saturation. Nonlinearity, 32(9), 3445-3484. [More Information]

2018

  • Lustri, C., Porter, M. (2018). Nanoptera in a Period-2 Toda Chain. SIAM Journal on Applied Dynamical Systems, 17(2), 1182-1212. [More Information]

2017

  • Joshi, N., Lustri, C., Luu, S. (2017). Stokes phenomena in discrete Painleve II. Proceedings of the Royal Society A, 473(2198), 1-20. [More Information]
  • Green, C., Lustri, C., McCue, S. (2017). TThe effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cel. Proceedings of the Royal Society A, 473(2201), 20170050-1-20170050-20. [More Information]

2016

  • Hall, C., Lustri, C. (2016). Multiple scales and matched asymptotic expansions for the discrete logistic equation. Nonlinear Dynamics, 85(2), 1345-1362. [More Information]

2015

  • Joshi, N., Lustri, C. (2015). Stokes phenomena in discrete Painlevé I. Proceedings of the Royal Society A, 471(2177), 1-22. [More Information]

2014

  • Lustri, C., Chapman, J. (2014). Unsteady flow over a submerged source with low Froude number. European Journal of Applied Mathematics, 25(5), 655-680. [More Information]

2013

  • Lustri, C., McCue, S., Chapman, S. (2013). Exponential asymptotics of free surface flow due to a line source. IMA Journal of Applied Mathematics, 78(4), 697-713. [More Information]
  • Lustri, C., Chapman, J. (2013). Steady gravity waves due to a submerged source. Journal of Fluid Mechanics, 732, 660-686. [More Information]

2012

  • Lustri, C., McCue, S., Binder, B. (2012). Free surface flow past topography: A beyond-all-orders approach. European Journal of Applied Mathematics, 23(4), 441-467. [More Information]

2008

  • Vogt, R., Lustri, C., Sridharan, S. (2008). Factor Analysis Modelling for Speaker Verification with Short Utterances. Odyssey 2008: The Speaker and Language Recognition Workshop, Africa: International Speech Communication Association (ISCA).

Selected Grants

2024

  • Research Travel Support, Lustri C, Faculty of Science/Faculty Startup Scheme