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