Publications and Preprints

Google Scholar Citation Report

Published in refereed journals

J.-L. Thiffeault, Using multiscale norms to quantify mixing and transport, Nonlinearity 84 (3), R1–R44, February 2012. Review article
M. R. Allshouse and J.-L. Thiffeault, Detecting coherent structures using braids, Physica D 241 (2), 95–105, January 2012.
M. D. Finn and J.-L. Thiffeault, Topological optimization of rod-stirring devices, SIAM Review 53 (4), 723–743, December 2011.
B. Thomases, M. Shelley, and J.-L. Thiffeault, A Stokesian viscoelastic flow: Transition to oscillations and mixing, Physica D 240 (20), 1602–1614, October 2011.
J.-L. Thiffeault, E. Gouillart, and O. Dauchot, Moving walls accelerate mixing, Physical Review E 84 (3), 036113, September 2011.
E. Lanneau and J.-L. Thiffeault, On the minimum dilatation of braids on the punctured disc, Geometriae Dedicata 152 (1), 165–182, June 2011.
Z. Lin, J.-L. Thiffeault, and C. R. Doering, Optimal stirring strategies for passive scalar mixing, Journal of Fluid Mechanics 675, 465–476, May 2011.
E. Lanneau and J.-L. Thiffeault, On the minimum dilatation of pseudo-Anosov homeomorphisms on surfaces of small genus, Annales de l'Institut Fourier 61 (1), 105–144, 2011.
Z. Lin, J.-L. Thiffeault, and S. Childress, Stirring by squirmers, Journal of Fluid Mechanics 669, 167–177, February 2011.
E. Gouillart, O. Dauchot, and J.-L. Thiffeault, Measures of mixing quality in open flows with chaotic advection, Physics of Fluids 23 (1), 013604, January 2011.
J.-L. Thiffeault and C. R. Doering, The Mixing efficiency of open flows, Physica D 240 (2), 180–186, January 2011.
J.-L. Thiffeault and S. Childress, Stirring by swimming bodies, Physics Letters A 374 (34), 3487–3490, July 2010.
L. Ó Náraigh and J.-L. Thiffeault, Nonlinear dynamics of phase separation in thin films, Nonlinearity 23, 1559–1583, July 2010.
E. Gouillart, J.-L. Thiffeault, and O. Dauchot, Rotation shields chaotic mixing regions from no-slip walls, Physical Review Letters 104, 204502, May 2010.
J.-L. Thiffeault, Braids of entangled particle trajectories, Chaos 20, 017516, January 2010. Featured as a Research Highlight in Chaos; Most downloaded article from February to June 2010.
E. Gouillart, O. Dauchot, J.-L. Thiffeault, and S. Roux, Open-flow Mixing: Experimental Evidence for Strange Eigenmodes, Physics of Fluids 21 (2), 023603, 2009.
L. Ó Náraigh and J.-L. Thiffeault, Bounds on the Mixing Enhancement for a Stirred Binary Fluid, Physica D 237, 2673–2684, 2008.
E. Gouillart, O. Dauchot, B. Dubrulle, S. Roux, and J.-L. Thiffeault, Slow Decay of Concentration Variance Due to No-slip Walls in Chaotic Mixing, Physical Review E 78, 026211, August 2008. Featured in PRE's kaleidoscope.
J.-L. Thiffeault, M. D. Finn, E. Gouillart, and T. Hall, Topology of Chaotic Mixing Patterns, Chaos 18, 033123, September 2008.
T. Okabe, B. Eckhardt, J.-L. Thiffeault, and C. R. Doering, Mixing Effectiveness Depends on the Source Distribution: Simulation Results, Journal of Statistical Mechanics: Theory and Experiments 2008 (7), P07018, July 2008.
J.-L. Thiffeault and G. A. Pavliotis, Optimizing the Source Distribution in Fluid Mixing, Physica D 237 (7), 918–929, June 2008.
L. Ó Náraigh and J.-L. Thiffeault, Dynamical Effects and Phase Separation in Cooled Binary Fluid Films, Physical Review E 76, 035303, September 2007.
E. Gouillart, N. Kuncio, O. Dauchot, B. Dubrulle, S. Roux, and J.-L. Thiffeault, Walls Inhibit Chaotic Mixing, Physical Review Letters 99, 114501, 2007. Featured as a Physics World and Sciences et Avenir news item.
T. A. Shaw, J.-L. Thiffeault, and C. R. Doering, Stirring up Trouble: Multi-scale Mixing Measures for Steady Scalar Sources, Physica D 231 (2), 143-164, July 2007.
M. D. Finn and J.-L. Thiffeault, Topological Entropy of Braids on the Torus, SIAM Journal on Applied Dynamical Systems 6, 79-98, 2007.
L. Ó Náraigh and J.-L. Thiffeault, Bubbles and Filaments: Stirring a Cahn–Hilliard Fluid, Physical Review E 75, 016216, January 2007.
J.-L. Thiffeault and M. D. Finn, Topology, Braids, and Mixing in Fluids, Philosophical Transactions of the Royal Society A 364, 3251-3266, December 2006.
A. Roy, L. Mahadevan, and J.-L. Thiffeault, Fall and Rise of a Viscoelastic Filament, Journal of Fluid Mechanics 563, 283-292, September 2006.
M. D. Finn, J.-L. Thiffeault, and E. Gouillart, Topological Chaos in Spatially Periodic Mixers, Physica D 221 (1), 92-100, September 2006.
C. R. Doering and J.-L. Thiffeault, Multiscale Mixing Efficiencies for Steady Sources, Physical Review E 74 (2), 025301(R), August 2006.
E. Gouillart, J.-L. Thiffeault, and M. D. Finn, Topological Mixing with Ghost Rods, Physical Review E 73, 036311, March 2006.
J.-L. Thiffeault, Measuring Topological Chaos, Physical Review Letters 94 (8), 084502, March 2005.
J.-L. Thiffeault, C. R. Doering, and J. D. Gibbon, A Bound on Mixing Efficiency for the Advection-Diffusion Equation, Journal of Fluid Mechanics 521, 105-114, December 2004.
J.-L. Thiffeault, Stretching and Curvature along Material Lines in Chaotic Flows, Physica D 198 (3-4), 169-181, November 2004.
J.-L. Thiffeault, The Strange Eigenmode in Lagrangian Coordinates, Chaos 14 (3), 531-538, September 2004.
E. A. Spiegel and J.-L. Thiffeault, Higher-order Continuum Approximation for Rarefied Gases, Physics of Fluids 15 (11), 3558-3567, November 2003.
J.-L. Thiffeault and S. Childress, Chaotic Mixing in a Torus Map, Chaos 13 (2), 502-507, June 2003.
J.-L. Thiffeault, Advection-Diffusion in Lagrangian Coordinates, Physics Letters A 309 (5-6), 415-422, March 2003.
J.-L. Thiffeault, Finite Extension of Polymers in Turbulent Flow, Physics Letters A 308 (5-6), 445-450, March 2003.
J.-L. Thiffeault and A. H. Boozer, The Onset of Dissipation in the Kinematic Dynamo, Physics of Plasmas 10 (1), 259-265, January 2003.
J.-L. Thiffeault, Derivatives and Constraints in Chaotic Flows: Asymptotic Behaviour and a Numerical Method, Physica D 172 (1-4), 139-161, November 2002.
J.-L. Thiffeault, Covariant Time Derivatives for Dynamical Systems, Journal of Physics A 34 (29), 5875-5885, July 2001.
J.-L. Thiffeault and P. J. Morrison, The Twisted Top, Physics Letters A 283 (5-6), 335-341, May 2001.
J.-L. Thiffeault and A. H. Boozer, Geometrical Constraints on Finite-time Lyapunov Exponents in Two and Three Dimensions, Chaos 11 (1), 16-28, March 2001.
J. P. Smith, J.-L. Thiffeault, and W. Horton, Dynamical Range of the WINDMI Model: An exploration of possible magnetospheric plasma states, Journal of Geophysical Research - Space Physics 105 (A6), 12983-12996, June 2000.
J.-L. Thiffeault and P. J. Morrison, Classification and Casimir Invariants of Lie-Poisson Brackets, Physica D 136 (3-4), 205-244, February 2000.
J.-L. Thiffeault and W. Horton, Energy-conserving Truncations for Convection with Shear Flow, Physics of Fluids 8 (7), 1715-1719, July 1996.

Conference proceedings, unpublished preprints, and others

K. Obuse and J.-L. Thiffeault, A low-Reynolds-number treadmilling swimmer near a semi-infinite wall, to appear in IMA Volume on Natural Locomotion in Fluids and on Surfaces: Swimming, Flying, and Sliding edited by Stephen Childress, Anette (Peko) Hosoi, William W. Schultz, and Z. Jane Wang.
J.-L. Thiffeault, Chaos in the Gulf, Science 330, 458–459, October 2010.
J.-L. Thiffeault, E. Lanneau, and S. Matz, The Cat's Cradle, Stirring, and Topological Complexity, Dynamical Systems Magazine, April 2009.
M. D. Finn and J.-L. Thiffeault, Topological Chaos in Flows on Surfaces of Arbitrary Genus , Paper presented at the International Congress of Theoretical and Applied Mathematics, Adelaide, Australia, 25–29 August 2008.
J.-L. Thiffeault, E. Gouillart, and O. Dauchot, Speeding Up Mixing with Moving Walls, Paper presented at the International Congress of Theoretical and Applied Mathematics, Adelaide, Australia, 25–29 August 2008.
J.-L. Thiffeault and K. Kamhawi, Chaotic Geodesics, in Chaos, Complexity, and Transport: Theory and Applications, 2008 (World Scientific, Singapore). (Proceedings of the Conference CCT'07, Le Pharo, Marseille, 4–8 June 2007.)
L. Ó Náraigh and J.-L. Thiffeault, Nonlinear Dynamics of Phase Separation in Ultra-thin Films, unpublished preprint.
J.-L. Thiffeault, Scalar Decay in Chaotic Mixing, in Transport and Mixing in Geophysical Flows, Lecture Notes in Physics 744, 3-35, 2008 (Springer, Berlin). (Proceedings of the Gran Combin Summer School, Valle d'Aosta, Italy, 14-24 June 2004.)
J.-L. Thiffeault, E. Gouillart, and M. D. Finn, The Size of Ghost Rods, Proceedings of the Workshop on Analysis and Control of Mixing with Applications to Micro and Macro Flow Processes, CISM, Udine, Italy, 27 June–1 July 2005 (Springer-Verlag, 2006, in press).
S. Sadokierski and J.-L. Thiffeault, Heat Transfer in Underground Rail Tunnels, unpublished preprint.
J.-L. Thiffeault and K. Kamhawi, Transport in Thin Gravity-driven Flow over a Curved Substrate, unpublished preprint.
S. Hong, J.-L. Thiffeault, L. Fréchette, and V. Modi, Numerical Study of Mixing in Microchannels with Patterned Zeta Potential Surfaces, Paper presented at IMECE 2003, ASME International Mechanical Engineering Congress & Exposition, Washington, D.C., November 16-21, 2003.
J.-L. Thiffeault, Differential Constraints in Chaotic Flows on Curved Manifolds, unpublished preprint.
E. A. Spiegel and J.-L. Thiffeault, Continuum Equations for Stellar Dynamics, Stellar Astrophysical Fluid Dynamics: Proceedings of the Chateau de Mons meeting in honour of Douglas Gough's 60th birthday (Cambridge University Press, 2003), pp. 377-391.
J.-L. Thiffeault, Classification, Casimir Invariants, and Stability of Lie-Poisson Systems, Ph.D. Thesis, The University of Texas at Austin, December 1998 (Supervisor: Philip J. Morrison).
J.-L. Thiffeault and P. J. Morrison, Invariants and Labels in Lie-Poisson Systems, Proceedings of the 13th Florida Workshop in Nonlinear Dynamics and Chaos in Astrophysics, Annals of the New York Academy of Sciences 867, 109-119, December 1998.
J.-L. Thiffeault, Long-wave Instability in Double-diffusive Marangoni Convection, Proceedings of the 1996 Summer program in Geophysical Fluid Dynamics, Woods Hole, MA. Edited by Steve Meacham.
J.-L. Thiffeault, Modeling Shear Flow in Rayleigh–Benard Convection, Master's Thesis, The University of Texas at Austin, August 1995 (Supervisor: C. Wendell Horton).