P. Toussaint and F. Carrière, A numerical Eulerian approach to mixing by chaotic advection, Physics of Fluids, vol.7, issue.11, pp.2587-2600, 1995.
DOI : 10.1063/1.868707
URL : https://hal.archives-ouvertes.fr/hal-01348398

M. Antonsen, Z. Fan, E. Ott, and E. Garcia-lopez, The role of chaotic orbits in the determination of power spectra of passive scalars, Physics of Fluids, vol.8, issue.11, pp.3094-3104, 1996.
DOI : 10.1063/1.869083

A. Giona, S. Adrover, V. Cerbelli, and . Vitacolonna, Spectral Properties and Transport Mechanisms of Partially Chaotic Bounded Flows in the Presence of Diffusion, Physical Review Letters, vol.92, issue.11, p.114101, 2004.
DOI : 10.1103/PhysRevLett.92.114101

S. Giona, V. Cerbelli, and . Vitacolonna, Universality and imaginary potentials in advection???diffusion equations in closed flows, Journal of Fluid Mechanics, vol.513, pp.221-237, 2004.
DOI : 10.1017/S002211200400984X

T. Pierrehumbert, Lattice models of advection-diffusion, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.10, issue.1, pp.61-73, 2000.
DOI : 10.1063/1.166476

N. and J. Vanneste, Scalar decay in a three-dimensional chaotic flow, Phys. Rev. E, vol.83, p.56306, 2011.

. Carrière, On a three-dimensional implementation of the baker???s transformation, Physics of Fluids, vol.19, issue.11, p.118110, 2007.
DOI : 10.1063/1.2804959

W. Jones and W. R. Young, Shear dispersion and anomalous diffusion by chaotic advection, Journal of Fluid Mechanics, vol.223, issue.-1, pp.149-172, 1994.
DOI : 10.1016/0009-2509(87)85010-8

A. Rom-kedar, S. Leonard, and . Wiggins, An analytical study of transport, mixing and chaos in an unsteady vortical flow, Journal of Fluid Mechanics, vol.36, issue.-1, pp.347-394, 1990.
DOI : 10.1512/iumj.1971.21.21017

J. N. Raynal and . Gence, Efficient stirring in planar, time-periodic laminar flows, Chemical Engineering Science, vol.50, issue.4, pp.631-640, 1995.
DOI : 10.1016/0009-2509(94)00440-3

S. Raynal and . Wiggins, Lobe dynamics in a kinematic model of a meandering jet. I. Geometry and statistics of transport and lobe dynamics with accelerated convergence, Physica D: Nonlinear Phenomena, vol.223, issue.1, pp.7-25, 2006.
DOI : 10.1016/j.physd.2006.07.021
URL : https://hal.archives-ouvertes.fr/hal-00274861

J. M. Sturman, S. Ottino, and . Wiggins, The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids, 2006.
DOI : 10.1017/CBO9780511618116

S. W. Sturman, J. M. Meier, S. Ottino, and . Wiggins, Linked twist map formalism in two and three dimensions applied to mixing in tumbled granular flows, Journal of Fluid Mechanics, vol.74, issue.99, pp.129-174, 2008.
DOI : 10.1063/1.869172

J. Sturman and . Springham, Rate of chaotic mixing and boundary behavior, Physical Review E, vol.87, issue.1, p.12906, 2013.
DOI : 10.1103/PhysRevE.87.012906

K. Froyland and . Padberg, Almost-invariant sets and invariant manifolds ??? Connecting probabilistic and geometric descriptions of coherent structures in flows, Physica D: Nonlinear Phenomena, vol.238, issue.16, pp.1507-1523, 2009.
DOI : 10.1016/j.physd.2009.03.002

A. Stremler, S. D. Ross, P. Grover, and P. Kumar, Topological Chaos and Periodic Braiding of Almost-Cyclic Sets, Physical Review Letters, vol.106, issue.11, p.114101, 2011.
DOI : 10.1103/PhysRevLett.106.114101

V. Danckwerts, Continuous flow systems, Chemical Engineering Science, vol.2, issue.1, pp.1-13, 1953.
DOI : 10.1016/0009-2509(53)80001-1

V. Danckwerts, Local residence-times in continuous-flow systems, Chemical Engineering Science, vol.9, issue.1, pp.78-79, 1958.
DOI : 10.1016/0009-2509(58)87011-6

P. Eckmann and D. Ruelle, Ergodic theory of chaos and strange attractors, Reviews of Modern Physics, vol.57, issue.3, pp.617-656, 1985.
DOI : 10.1103/RevModPhys.57.617

L. Artuso, G. Cavallasca, and . Cristadoro, Dynamical and transport properties in a family of intermittent area-preserving maps, Physical Review E, vol.77, issue.4, p.46206, 2008.
DOI : 10.1103/PhysRevE.77.046206

V. Khakhar, J. G. Franjione, and J. M. Ottino, A case study of chaotic mixing in deterministic flows: The partitioned-pipe mixer, Chemical Engineering Science, vol.42, issue.12, pp.2909-2926, 1987.
DOI : 10.1016/0009-2509(87)87056-2

S. Mezi´cmezi´c, D. Wiggins, and . Betz, Residence-time distributions for chaotic flows in pipes, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.9, issue.1, pp.173-182, 1999.
DOI : 10.1063/1.166388

B. Spalding, A note on mean residence-times in steady flows of arbitrary complexity, Chemical Engineering Science, vol.9, issue.1, pp.74-77, 1958.
DOI : 10.1016/0009-2509(58)87010-4

D. Armeniades, W. C. Johnson, and T. Raphael, Mixing device, 1966.

. Carrière, Lyapunov spectrum determination from the FEM simulation of a chaotic advecting flow, International Journal for Numerical Methods in Fluids, vol.91, issue.5, pp.555-577, 2006.
DOI : 10.1002/fld.1056

P. Toussaint and . Carrière, DIFFUSIVE CUT-OFF SCALE OF FRACTAL SURFACES IN CHAOTIC MIXING, International Journal of Bifurcation and Chaos, vol.09, issue.03, pp.443-454, 1999.
DOI : 10.1142/S0218127499000298

P. Toussaint, J. Carrière, J. N. Scott, and . Gence, Spectral decay of a passive scalar in chaotic mixing, Physics of Fluids, vol.12, issue.11, pp.2834-2844, 2000.
DOI : 10.1063/1.1290277

F. Raynal and P. Carrière, The distribution of ???time of flight??? in three dimensional stationary chaotic advection, Physics of Fluids, vol.27, issue.4, p.43601, 2015.
DOI : 10.1063/1.4918750
URL : https://hal.archives-ouvertes.fr/hal-01181341

H. K. Bajer and . Moffatt, On a class of steady confined Stokes flows with chaotic streamlines, Journal of Fluid Mechanics, vol.408, issue.-1, pp.337-363, 1990.
DOI : 10.1017/S0022112086002859

W. Leong and J. M. Ottino, Experiments on mixing due to chaotic advection in a cavity, Journal of Fluid Mechanics, vol.43, issue.-1, pp.463-499, 1989.
DOI : 10.1017/S0022112086000927

M. Hobbs and F. J. Muzzio, The Kenics static mixer: a three-dimensional chaotic flow, Chemical Engineering Journal, vol.67, issue.3, pp.153-166, 1997.
DOI : 10.1016/S1385-8947(97)00013-2

M. Hobbs, P. D. Swanson, and F. J. Muzzio, Numerical characterization of low Reynolds number flow in the Kenics static mixer, Chemical Engineering Science, vol.53, issue.8, pp.1565-1584, 1998.
DOI : 10.1016/S0009-2509(97)00132-2

. Byrde, Massively parallel flow computation with application to fluid mixing, 1997.

M. L. Byrde and . Sawley, Optimization of a Kenics static mixer for non-creeping flow conditions, Chemical Engineering Journal, vol.72, issue.2, pp.163-169, 1999.
DOI : 10.1016/S1385-8947(98)00145-4

M. L. Byrde and . Sawley, Parallel computation and analysis of the flow in a static mixer, Computers & Fluids, vol.28, issue.1, pp.1-18, 1999.
DOI : 10.1016/S0045-7930(98)00019-X

V. Kumar, K. D. Shirke, and . Nigam, Performance of Kenics static mixer over a wide range of Reynolds number, Chemical Engineering Journal, vol.139, issue.2, pp.284-295, 2008.
DOI : 10.1016/j.cej.2007.07.101

L. Gray, D. Jaeggi, N. J. Mourlas, B. P. Van-drieënhuizen, K. R. Williams et al., Novel interconnection technologies for integrated microfluidic systems, Sensors and Actuators A: Physical, vol.77, issue.1, pp.57-65, 1999.
DOI : 10.1016/S0924-4247(99)00185-5

C. and J. Meiners, Topologic mixing on a microfluidic chip, Appl. Phys. Lett, vol.84, issue.12, pp.2193-2195, 2004.

R. Lester, A. Ord, and B. E. Hobbs, The mechanics of hydrothermal systems: II. Fluid mixing and chemical reactions, Ore Geology Reviews, vol.49, pp.45-71, 2012.
DOI : 10.1016/j.oregeorev.2012.08.002

R. Lester, G. Metcalfe, and M. G. Treffy, Is Chaotic Advection Inherent to Porous Media Flow?, Physical Review Letters, vol.111, issue.17, p.174101, 2013.
DOI : 10.1103/PhysRevLett.111.174101

M. R. Chen, B. Bown, J. M. O-'sullivan, R. W. Macinnes, M. Allen et al., Performance analysis of a folding flow micromixer, Microfluidics and Nanofluidics, vol.9, issue.7, pp.763-774, 2009.
DOI : 10.1007/s10404-008-0351-z

A. Raynal, P. Beuf, and . Carrière, Numerical modeling of DNA-chip hybridization with chaotic advection, Biomicrofluidics, vol.7, issue.3, p.34107, 2013.
DOI : 10.1063/1.4809518
URL : https://hal.archives-ouvertes.fr/hal-00931492

D. Grace, Static mixing' and heat transfer, Chem. Proc. Eng, vol.52, pp.57-59, 1971.

H. Pahl and E. Muschelknautz, Statische Mischer und ihre Anwendung, Chemie Ingenieur Technik, vol.52, issue.4, pp.285-291, 1980.
DOI : 10.1002/cite.330520402

P. A. Girault and . Raviart, Finite Element Methods for Navier?Stokes Equations, 1986.
DOI : 10.1007/978-3-642-61623-5