Associate Professor Sanjeeva Balasuriya

• Journals

  Year	Citation
  2024	Blachut, C., & Balasuriya, S. (2024). Convective modes reveal the incoherence of the Southern Polar Vortex. Scientific Reports, 14(1), 966. DOI
  2022	Priyankara, K. G. D. S., Balasuriya, S., & Bollt, E. M. (2022). Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows.. SIAM J. Appl. Dyn. Syst., 21, 2642-2696.
  2022	Tam, A. K. Y., Harding, B., Green, J. E. F., Balasuriya, S., & Binder, B. J. (2022). Thin-film lubrication model for biofilm expansion under strong adhesion. Physical Review E, 105(1), 1-15. DOI Scopus3 Europe PMC1
  2022	Badza, A., Mattner, T. W., & Balasuriya, S. (2022). How sensitive are Lagrangian coherent structures to uncertainties in data?. Physica D: Nonlinear Phenomena, 444, 133580. DOI Scopus3
  2022	Priyankara, K. G. D. S., Balasuriya, S., & Bollt, E. M. (2022). Melnikov Theory for Two-Dimensional Manifolds in Three-Dimensional Flows. SIAM Journal on Applied Dynamical Systems, 21(4), 2642-2696. DOI
  2021	Balasuriya, S., & Bollt, E. (2021). Globally optimal stretching foliations of dynamical systems reveal the organizing skeleton of intensive instabilities.
  2021	Balasuriya, S. (2021). Stochastic approaches to Lagrangian coherent structures. Advanced Studies in Pure Mathematics, 85, 95-104.
  2020	Balasuriya, S. (2020). Stochastic sensitivity: a computable Lagrangian uncertainty measure for unsteady flows. SIAM Review, 62(4), 781-816. DOI Scopus4 WoS4
  2020	Balasuriya, S. (2020). Uncertainties in Lagrangian prediction. Dynamical Systems Magazine, Jan.
  2020	Zhang, L., & Balasuriya, S. (2020). Controlling trajectories globally via spatiotemporal finite-time optimal control. SIAM Journal on Applied Dynamical Systems, 19(3), 1609-1632. DOI
  2020	Balasuriya, S. (2020). Uncertainty in finite-time Lyapunov exponent computations. Journal of Computational Dynamics, 7(2), 313-337. DOI Scopus4 WoS3
  2020	Fang, L., Balasuriya, S., & Ouellette, N. (2020). Disentangling resolution, precision, and inherent stochasticity in nonlinear systems. Physical Review Research, 2(2), 023343-1-023343-9. DOI Scopus3 WoS2
  2019	Fang, L., Balasuriya, S., & Ouellette, N. T. (2019). Local linearity, coherent structures, and scale-to-scale coupling in turbulent flow. Physical Review Fluids, 4(1), 13 pages. DOI Scopus7 WoS7
  2019	Tam, A., Green, J. E. F., Balasuriya, S., Tek, E. L., Gardner, J. M., Sundstrom, J. F., . . . Binder, B. J. (2019). A thin-film extensional flow model for biofilm expansion by sliding motility. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2229), 20190175-1-20190175-21. DOI Scopus10 WoS5 Europe PMC1
  2018	Balasuriya, S., Ouellette, N., & Rypina, I. (2018). Generalized Lagrangian coherent structures. Physica D: Nonlinear Phenomena, 372, 31-51. DOI Scopus53 WoS47
  2018	Tam, A., Green, J., Balasuriya, S., Tek, E., Gardner, J., Sundstrom, J., . . . Binder, B. (2018). Nutrient-limited growth with non-linear cell diffusion as a mechanism for floral pattern formation in yeast biofilms. Journal of Theoretical Biology, 448, 122-141. DOI Scopus13 WoS11 Europe PMC4
  2018	Tronnolone, H., Tam, A., Szenczi, Z., Green, J., Balasuriya, S., Tek, E., . . . Binder, B. (2018). Diffusion-limited growth of microbial colonies. Scientific Reports, 8(1), 5992-1-5992-11. DOI Scopus24 WoS21 Europe PMC8
  2018	Balasuriya, S., & Gottwald, G. (2018). Estimating stable and unstable sets and their role as transport barriers in stochastic flows. Physical Review E, 98(1), 013106-1-013106-17. DOI Scopus4 WoS3
  2017	Sulalitha Priyankara, K., Balasuriya, S., & Bollt, E. (2017). Quantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre. International Journal of Bifurcation and Chaos, 27(10), 1750156-1-1750156-19. DOI Scopus8 WoS5
  2017	Balasuriya, S. (2017). Unsteadily manipulating internal flow barriers. Journal of Fluid Mechanics, 818, 382-406. DOI Scopus2 WoS3
  2017	Balasuriya, S. (2017). Stochastic uncertainty of advected curves in finite-time unsteady flows. Physical Review E, 95(6), 062201-1-062201-12. DOI Scopus3 WoS3
  2017	Balasuriya, S. (2017). Transport between two fluids across their mutual flow interface: the streakline approach. SIAM Journal on Applied Dynamical Systems, 16(2), 1015-1044. DOI Scopus6 WoS6
  2016	Balasuriya, S. (2016). Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux. Nonlinearity, 29(12), 3897-3933. DOI Scopus5 WoS3
  2016	Balasuriya, S., Kalampattel, R., & Ouellette, N. (2016). Hyperbolic neighbourhoods as organizers of finite-time exponential stretching. Journal of Fluid Mechanics, 807, 509-545. DOI Scopus21 WoS18
  2016	Balasuriya, S. (2016). Meridional and zonal wavenumber dependence in tracer flux in Rossby waves. Fluids, 1(3), 1-34. DOI Scopus4 WoS4
  2016	Balasuriya, S. (2016). Local stable and unstable manifolds and their control in nonautonomous finite-time flows. Journal of Nonlinear Science, 26(4), 895-927. DOI Scopus9 WoS7
  2016	Sewalt, L., Harley, K., van Heijster, P., & Balasuriya, S. (2016). Influences of Allee effects in the spreading of malignant tumours. Journal of Theoretical Biology, 394, 77-92. DOI Scopus23 WoS22 Europe PMC10
  2016	Balasuriya, S. (2016). A numerical scheme for computing stable and unstable manifolds in nonautonomous flows. International Journal of Bifurcation and Chaos, 26(14), 1630041-1-1630041-22. DOI Scopus4 WoS3
  2015	Balasuriya, S. (2015). Quantifying transport within a two-cell microdroplet induced by circular and sharp channel bends. Physics of Fluids, 27(5), 052005-1-052005-20. DOI Scopus5 WoS5
  2015	Balasuriya, S. (2015). Dynamical systems techniques for enhancing microfluidic mixing. Journal of Micromechanics and Microengineering, 25(9), 094005-1-094005-16. DOI Scopus21 WoS21
  2015	Binder, B., Blyth, M., & Balasuriya, S. (2015). Steady free-surface flow over spatially periodic topography. Journal of Fluid Mechanics, 781, R3-1-R3-14. DOI Scopus4 WoS5
  2014	Balasuriya, S., Froyland, G., & Santitissadeekorn, N. (2014). Absolute flux optimising curves of flows on a surface. Journal of Mathematical Analysis and Applications, 409(1), 119-139. DOI Scopus8 WoS9
  2014	Binder, B., Blyth, M., & Balasuriya, S. (2014). Non-uniqueness of steady free-surface flow at critical Froude number. EPL, 105(4), 44003-1-44003-6. DOI Scopus18 WoS18
  2014	Balasuriya, S., & Binder, B. (2014). Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing. Physica D: Nonlinear Phenomena, 285, 28-41. DOI Scopus7 WoS8
  2014	Balasuriya, S., & Padberg-Gehle, K. (2014). Nonautonomous control of stable and unstable manifolds in two-dimensional flows. Physica D, 276, 48-60. DOI Scopus10 WoS11
  2014	Balasuriya, S., & Padberg-Gehle, K. (2014). Accurate control of hyperbolic trajectories in any dimension. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 90(3), 032903-1-032903-9. DOI Scopus11 WoS13 Europe PMC1
  2013	Balasuriya, S., & Padberg-Gehle, K. (2013). Controlling the unsteady analogue of saddle stagnation points. Siam Journal on Applied Mathematics, 73(2), 1038-1057. DOI Scopus12 WoS14
  2012	Balasuriya, S. (2012). Explicit invariant manifolds and specialised trajectories in a class of unsteady flows. Physics of Fluids, 24(12), 1-27. DOI Scopus18 WoS18
  2012	Balasuriya, S., & Finn, M. (2012). Energy constrained transport maximization across a fluid interface. Physical Review Letters, 108(24), 1-4. DOI Scopus15 WoS16
  2011	Balasuriya, S. (2011). A tangential displacement theory for locating perturbed saddles and their manifolds. SIAM Journal on Applied Dynamical Systems, 10(3), 1100-1126. DOI Scopus20 WoS20
  2010	Balasuriya, S. (2010). Species spreading due to environmental hostility, dispersal adaptation and Allee effects. Proceedings of World Academy of Science, Engineering & Technology, 65, 833-839.
  2010	Balasuriya, S. (2010). Optimal frequency for microfluidic mixing across a fluid interface. Physical Review Letters, 105(6), 064501-1-064501-4. DOI Scopus22 WoS22 Europe PMC3
  2010	Balasuriya, S. (2010). Invasions with density-dependent ecological parameters. Journal of Theoretical Biology, 266(4), 657-666. DOI Scopus7 WoS7 Europe PMC2
  2010	Balasuriya, S., & Gottwald, G. (2010). Wavespeed in reaction–diffusion systems, with applications to chemotaxis and population pressure. Journal of Mathematical Biology, 61(3), 377-399. DOI Scopus10 WoS9 Europe PMC3
  2008	Balasuriya, S., & Volpert, V. (2008). Wavespeed analysis: approximating Arrhenius kinetics with step-function kinetics. Combustion Theory and Modelling, 12(4), 643-670. DOI Scopus11 WoS7
  2007	Balasuriya, S., Gottwald, G., Hornibrook, J., & Lafortune, S. (2007). High Lewis number combustion wavefronts: a perturbative Melnikove analysis. Siam Journal on Applied Mathematics, 67(2), 464-486. DOI Scopus18 WoS18
  2007	Balasuriya, S. (2007). Separatrix splitting through high-frequency non-smooth perturbations. Dynamics of Continuous Discrete and Impulsive Systems-Series A-Mathematical Analysis, 14(3), 333-343. WoS1
  2007	Balasuriya, S. S., Bandara, K. M. K., Ekanayake, S. D., & Jayasinghe, M. T. R. (2007). The Influence of Transfer Plates on the Lateral Behaviour of Apartment Buildings. ENGINEER-JOURNAL OF THE INSTITUTION OF ENGINEERS SRI LANKA, 40(4), 22-30. DOI
  2006	Balasuriya, S. (2006). Cross-separatrix flux in time-aperiodic and time-impulsive flows. Nonlinearity, 19(12), 2775-2795. DOI Scopus19 WoS19
  2005	Balasuriya, S. (2005). Direct chaotic flux quantification in perturbed planar flows: general time-periodicity. SIAM Journal on Applied Dynamical Systems, 4(2), 282-311. DOI Scopus17 WoS16
  2005	Balasuriya, S. (2005). Optimal perturbation for enhanced chaotic transport. Physica D, 202(3-4), 155-176. DOI Scopus32 WoS29
  2005	Balasuriya, S. (2005). Approach for maximizing chaotic mixing in microfluidic devices. Physics of Fluids, 17(11), 118103-1-118103-4. DOI Scopus21 WoS22
  2004	Balasuriya, S. (2004). An analytical study of general hyper-diffusivity and barotropic eddies. Geophysical and Astrophysical Fluid Dynamics, 98(1), 39-62. DOI Scopus1 WoS2
  2003	Balasuriya, S., Mezić, I., & Jones, C. K. R. T. (2003). Weak finite-time Melnikov theory and 3D viscous perturbations of Euler flows. Physica D: Nonlinear Phenomena, 176(1-2), 82-106. DOI Scopus18 WoS17
  2001	Balasuriya, S., & Jones, C. K. R. T. (2001). Diffusive draining and growth of eddies. Nonlinear Processes in Geophysics, 8(4-5), 241-251. DOI Scopus16 WoS16
  2001	Balasuriya, S. (2001). Gradient evolution for potential vorticity flows. Nonlinear Processes in Geophysics, 8(4-5), 253-263. DOI Scopus9 WoS8
  2000	Sandstede, B., Balasuriya, S., Jones, C. K. R. T., & Miller, P. (2000). Melnikov theory for finite-time vector fields. Nonlinearity, 13(4), 1357-1377. DOI Scopus32 WoS28
  1999	Balasuriya, S. (1999). Lifetime and Illness in Almost Deterministic Maps. Journal of Mathematical Analysis and Applications, 235(1), 274-294. DOI
  1998	Balasuriya, S., Jones, C. K. R. T., & Sandstede, B. (1998). Viscous perturbations of vorticity-conserving flows and separatrix splitting. Nonlinearity, 11(1), 47-77. DOI Scopus26 WoS26
  1997	Balasuriya, S. (1997). Vanishing viscosity in the barotropic β-plane. Journal of Mathematical Analysis and Applications, 214(1), 128-150. DOI Scopus18 WoS16
  -	Tam, A., Binder, B., Green, E., Balasuriya, S., Tek, E. L., Gardner, J., . . . Jiranek, V. (n.d.). A thin-film extensional flow model for biofilm expansion by sliding motility. DOI

• Books

  Year	Citation
  2016	Balasuriya, S. (2016). Barriers and Transport in Unsteady Flows: A Melnikov Approach (Vol. 21). Philadelphia: Society for Industrial and Applied Mathematics Press (SIAM).

• Book Chapters

  Year	Citation
  2014	Balasuriya, S. (2014). Nonautonomous flows as open dynamical systems: characterising escape rates and time-varying boundaries. In W. Bahsoun, C. Bose, & G. Froyland (Eds.), Ergodic Theory, Open Dynamics, and Coherent Structures (Vol. 70, 1 ed., pp. 1-30). New York, USA: Springer. DOI Scopus9 WoS7
  2014	Balasuriya, S. (2014). Nonautonomous Flows as Open Dynamical Systems: Characterising Escape Rates and Time-Varying Boundaries. In Springer Proceedings in Mathematics & Statistics (pp. 1-30). Springer New York. DOI

• Conference Items

  Year	Citation
  2014	Balasuriya, S. (2014). Flow barriers in realistic flows, and their relationship to invariant manifolds. Poster session presented at the meeting of Oberwolfach Reports. Zurich: European Mathematical Society.
  -	Tam, A., Balasuriya, S., Green, E., & Binder, B. (n.d.). Understanding floral pattern formation in yeast biofilms. Poster session presented at the meeting of Unknown Conference. DOI

• Software

  Year	Citation
  -	Tam, A., Green, E., Balasuriya, S., Tek, E. L., Gardner, J., Sundstrom, J., . . . Binder, B. (n.d.). Code and Data [Computer Software]. DOI

• Preprint

  Year	Citation
  2024	Blake, L., Maclean, J., & Balasuriya, S. (2024). Unifying Lyapunov exponents with probabilistic uncertainty quantification.
  2023	Blake, L., Maclean, J., & Balasuriya, S. (2023). The convergence of stochastic differential equations to their linearisation in small noise limits.

Please visit https://sanji-balasuriya.github.io

• Current Higher Degree by Research Supervision (University of Adelaide)

  Date	Role	Research Topic	Program	Degree Type	Student Load	Student Name
  2024	Co-Supervisor	Open channel flow past a topographic disturbance: generalised model for short and long length bumps	Doctor of Philosophy	Doctorate	Full Time	Mr Hugh Clarke Michalski
  2021	Principal Supervisor	Optimal control of global flow trajectories	Doctor of Philosophy	Doctorate	Full Time	Mr Sean McGowan
  2021	Co-Supervisor	Analysis of the Inverse Free Surface Potential Flow Problem in Three Dimensions	Doctor of Philosophy	Doctorate	Full Time	Miss Elizabeth Marilyn Auke Jagersma

• Past Higher Degree by Research Supervision (University of Adelaide)

  Date	Role	Research Topic	Program	Degree Type	Student Load	Student Name
  2022 - 2024	Principal Supervisor	Computable Characterisations of Uncertainty in Differential Equations	Master of Philosophy	Master	Full Time	Mr Liam Andrew Alex Blake
  2019 - 2021	Principal Supervisor	Lagrangian Coherent Data Assimilation for Chaotic Geophysical Systems	Master of Philosophy	Master	Full Time	Ms Rose Joy Crocker
  2018 - 2022	Principal Supervisor	A Quantitative Evaluation of Lagrangian Coherent Structure Detection Methods Based on Computational and Experimental Limitations	Doctor of Philosophy	Doctorate	Full Time	Mr Aleksandar Badza
  2016 - 2019	Co-Supervisor	Mathematical Modelling of Pattern Formation in Yeast Biofilms	Doctor of Philosophy	Doctorate	Full Time	Mr Alexander Tam

• Other Supervision Activities

  Date	Role	Research Topic	Location	Program	Supervision Type	Student Load	Student Name
  2016 - ongoing	External Supervisor	Stretching and folding in data-driven and chaotic systems	Clarkson University, USA	Clarkson does not have official external supervisors; this is an unofficial capacity. The student has joint publications with me already.	Doctorate	-	K.G. Sulalitha Priyankara
  2015 - 2016	External Supervisor	Patterns in natural systems	Leiden University (Netherlands)	This was an unoffical external supervision; a joint publication resulted from this, and the student graduated in 2016.	Doctorate	-	Lotte Sewalt

• Position: Associate Professor
• Phone: 83133026
• Email: sanjeeva.balasuriya@adelaide.edu.au
• Fax: 83133696
• Campus: North Terrace
• Building: Ingkarni Wardli, floor 6
• Org Unit: Mathematical Sciences