A Shell Model for Optimal Mixing

[1]  M. Farazmand Optimal initial condition of passive tracers for their maximal mixing in finite time , 2016, 1604.01794.

[2]  Andrej Zlatos,et al.  Mixing and Un-mixing by Incompressible Flows , 2014, 1407.4163.

[3]  G. Alberti,et al.  Exponential self-similar mixing and loss of regularity for continuity equations , 2014, 1407.2631.

[4]  C. P. Caulfield,et al.  Optimal mixing in two-dimensional plane Poiseuille flow at finite Péclet number , 2014, Journal of Fluid Mechanics.

[5]  A. Kiselev,et al.  Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows , 2013, 1310.2986.

[6]  Christian Seis Maximal mixing by incompressible fluid flows , 2013, 1309.0556.

[7]  C. Doering,et al.  Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows , 2012 .

[8]  J. Thiffeault,et al.  Using multiscale norms to quantify mixing and transport , 2011, 1105.1101.

[9]  C. Doering,et al.  Optimal stirring strategies for passive scalar mixing , 2010, Journal of Fluid Mechanics.

[10]  Camillo De Lellis,et al.  Estimates and regularity results for the DiPerna-Lions flow , 2008 .

[11]  Massimiliano Giona,et al.  Feasibility, efficiency and transportability of short-horizon optimal mixing protocols , 2008, Journal of Fluid Mechanics.

[12]  Weijiu Liu,et al.  Mixing Enhancement via Flow Optimization , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[13]  I. Mezić,et al.  Optimal control of mixing in Stokes fluid flows , 2006, Journal of Fluid Mechanics.

[14]  I. Mezić,et al.  A multiscale measure for mixing , 2005 .

[15]  V. Hessel,et al.  Micromixers—a review on passive and active mixing principles , 2005 .

[16]  Sanjeeva Balasuriya,et al.  Optimal perturbation for enhanced chaotic transport , 2005 .

[17]  Nam-Trung Nguyen,et al.  Micromixers?a review , 2005 .

[18]  E. L. Paul,et al.  Mixing in the Fine Chemicals and Pharmaceutical Industries , 2004 .

[19]  Carl Wunsch,et al.  VERTICAL MIXING, ENERGY, AND THE GENERAL CIRCULATION OF THE OCEANS , 2004 .

[20]  H. D. Zughbi,et al.  Mixing in Pipelines with Side and Opposed Tees , 2003 .

[21]  C. Villani Topics in Optimal Transportation , 2003 .

[22]  A. Bressan A lemma and a conjecture on the cost of rearrangements , 2003, math/0302228.

[23]  A. Vikhansky Enhancement of laminar mixing by optimal control methods , 2002 .

[24]  P. Linden THE FLUID MECHANICS OF NATURAL VENTILATION , 1999 .

[25]  Domenico D'Alessandro,et al.  Control of mixing in fluid flow: a maximum entropy approach , 1999, IEEE Trans. Autom. Control..

[26]  Fernando J. Muzzio,et al.  Optimization of a static mixer using dynamical systems techniques , 1998 .

[27]  Luca Biferale,et al.  Anomalous scaling in random shell models for passive scalars. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[28]  Anuradha M. Annaswamy,et al.  Active control in combustion systems , 1995 .

[29]  Eric D. Siggia,et al.  Turbulent Mixing of a Passive Scalar , 1994 .

[30]  Vulpiani,et al.  Shell model for turbulent advection of passive-scalar fields. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[31]  Yamada,et al.  Lyapunov spectrum of a model of two-dimensional turbulence. , 1988, Physical review letters.

[32]  H. Aref Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[33]  Z. Tadmor,et al.  Principles of Polymer Processing , 1979 .

[34]  E. Gledzer,et al.  System of hydrodynamic type admitting two quadratic integrals of motion , 1973 .

[35]  A. Obukhov,et al.  Structure of Temperature Field in Turbulent Flow , 1970 .

[36]  A. Townsend,et al.  Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity , 1959, Journal of Fluid Mechanics.

[37]  G. Batchelor Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity , 1959, Journal of Fluid Mechanics.

[38]  Norman F. Ramsey,et al.  Use of Rotating Coordinates in Magnetic Resonance Problems , 1954 .

[39]  S. Corrsin On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence , 1951 .

[40]  Paul E. Dimotakis,et al.  TURBULENT MIXING , 2004 .

[41]  Eric D. Siggia,et al.  Scalar turbulence , 2000, Nature.

[42]  S. Altmann Rotations, Quaternions, and Double Groups , 1986 .