Publications: Sanjeeva Balasuriya
In progress
Balasuriya, S. and Finn, M.D. Energy constrained mixing maximization across a fluid interface, submitted.
Balasuriya, S. Explicit invariant manifolds and hyperbolic trajectories in a class of unsteady flows, submitted.
Balasuriya, S. and Padberg-Gehle, K. Controlling the unsteady analogue of saddle stagnation points, in preparation.
Balasuriya, S., Froyland, G. and Santitissadeekorn, N. Absolute flux optimising curves on a surface, submitted.
Balasuriya, S. Non-autonomous control of stable and unstable manifolds, in preparation.
Balasuriya, S. Effect of time-lagged biological effects on invasion speeds, in preparation.
Published research articles
Balasuriya, S. A tangential displacement theory for locating perturbed saddles and their manifolds, SIAM Journal on Applied Dynamical Systems 10, 1100-1126 (2011).
Balasuriya, S. Invasions with density-dependent ecological parameters, Journal of Theoretical Biology 266, 657-666 (2010). pdf
Balasuriya, S. Optimal frequency for microfluidic mixing across a fluid interface, Physical Review Letters 105, 064501 (2010). pdf
Balasuriya, S. and Gottwald, G.A. Wavespeed in reaction-diffusion systems, with applications to chemotaxis and population pressure, Journal of Mathematical Biology 61, 377-399 (2010). pdf
Balasuriya, S. Species spreading due to environmental hostility, dispersal adaptation and Allee effects, Proceedings of the International Conference on Mathematical Biology and Ecology (World Academy of Science, Engineering and Technology) 65, 833-839 (Tokyo, Japan, 2010). online journal
Balasuriya, S. and Volpert, V.A. Wavespeed analysis: approximating Arrhenius kinetics with step-function kinetics, Combustion Theory and Modelling 12, 643-670 (2008). pdf
Balasuriya, S. Separatrix splitting under high-frequency non-smooth perturbations, Dynamics of Continuous, Discrete and Impulsive Systems, Series A -- Mathematical Analysis 14, 333-343 (2007).
Balasuriya, S., Gottwald, G.A., Hornibrook, J. and Lafortune, S. High Lewis number combustion wavefronts: a perturbative Melnikov analysis, SIAM Journal on Applied Mathematics 67, 464-486 (2007). pdf
Balasuriya, S. Cross-separatrix flux in time-aperiodic and time-impulsive flows, Nonlinearity 19, 2775-2795 (2006). pdf
Balasuriya, S.
Approach for maximizing chaotic mixing in micro-fluidic devices,
Physics of Fluids 17, Art. 118103 (2005).
pdf
[Also selected for compilation in
Virtual Journal of Nanoscale Science and Technology
12, Issue 22 (November 28, 2005)]
Balasuriya, S. Direct chaotic flux quantification in perturbed planar flows: general time-periodicity, SIAM Journal on Applied Dynamical Systems 4, 282-311 (2005). pdf
Balasuriya, S. Optimal perturbation for enhanced chaotic transport, Physica D 202, 155-176 (2005).
Balasuriya, S. An analytical study of general hyper-diffusivity and barotropic eddies, Geophysical and Astrophysical Fluid Dynamics 98, 39-62 (2004). pdf [Top 10 Downloads from GAFD ]
Balasuriya, S., Mezic, I. and Jones, C.K.R.T. Weak finite-time Melnikov theory and 3-D viscous perturbations of Euler flows, Physica D 176, 82-106 (2003).
Balasuriya, S. Gradient evolution for potential vorticity flows, Nonlinear Processes in Geophysics 8, 253-263 (2001). pdf
Balasuriya, S. and Jones, C.K.R.T. Diffusive draining and growth of eddies, Nonlinear Processes in Geophysics 8, 241-251 (2001). pdf
Sandstede, B., Balasuriya, S., Jones, C.K.R.T. and Miller, P.D. Melnikov theory for finite-time vector fields, Nonlinearity 13, 1357-1377 (2000). pdf
Balasuriya, S. Lifetime and illness in almost deterministic maps, Journal of Mathematical Analysis and Applications 235, 274-294 (1999). pdf
Balasuriya, S., Jones, C.K.R.T. and Sandstede, B. Viscous perturbations of vorticity-conserving flows and separatrix splitting, Nonlinearity 11, 47-77 (1998). pdf
Balasuriya, S. Vanishing viscosity in the barotropic beta-plane, Journal of Mathematical Analysis and Applications 214, 128-150 (1997). pdf
Education-related
Balasuriya, S. Teaching time-savers: reacting to analysis, MAA Focus (newsmagazine of the Mathematical Association of America) 28, 4: 8--9 (April 2008). [Link to magazine ]
Balasuriya, S. Planar Coordinate Geometry, iv+143pp, 209 problems, ISBN 955-96996-0-X (Sampath Printing Industries, Kadugannawa, Sri Lanka, 1998).
For request of preprints or reprints which are not available for downloading from this page, please email Sanjeeva Balasuriya.