Publications
“Breaking of Rotational Symmetry in Cylindrically Bounded 2D Electron Plasmas and 2D Fluids”, Eli Sarid, Catalin Teodorescue, Philip S. Marcus, Joel Fajans Fajans, Physical Review Letters, vol. 93, pp. 1-4, November 2004, doi: 10.1103/PhysRevLett.93.215002. — PDF
“Turbulent Bursts in Couette-Taylor Flow”, Philip S. Marcus, featured in Fluid Mechanics and the Environment: Dynamical Approaches with ed. John L. Lumley, volume 566 of Lecture Notes in Physics, pages 183-200, published by Springer Berlin Heidelberg, 2001, print ISBN: 978-3-540-41475-9, article DOI: 10.1007/3-540-44512-9_10. — PDF
“A New Mathematical Model of Turbulent Bursts”, Philip Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1999. — Image
“Turbulent Bursts in Couette-Taylor Flow”, K. Coughlin, P. S. Marcus, Physical Review Letters, vol. 77, pp. 2214-2217, September 1996, doi: 10.1103/PhysRevLett.77.2214. — PDF
“Low-Dimensional Spectral Truncations for Taylor-Couette Flow”, K.T. Coughlin, P.S. Marcus, featured in Ordered and Turbulent Patterns in Taylor-Couette Flow, with ed. C. David Andereck, F. Hayot, volume 297 of the NATO ASI Series, pp. 43-50, published by Springer US, 1992, print ISBN 978-1-4613-6521-1, article DOI: 10.1007/978-1-4615-3438-9_3. — PDF
“Modulated waves in Taylor-Couette Flows – Part I: Analysis”, K.T. Coughlin, P.S. Marcus, Journal of Fluid Mechanics, vol. 234, pp. 1-18, January 1992, doi: 10.1017/S0022112092000673. — PDF
“Modulated waves in Taylor-Couette Flows – Part II: Numerical Simulation”, K.T. Coughlin, P.S. Marcus, The Journal of Fluid Mechanics, vol. 234, pp. 19-46, November 1992, doi: 10.1017/S0022112092000685. — PDF
“Distinct Quasiperiodic Modes with Like Symmetry in a Rotating Fluid”, K. T. Coughlin, P. S. Marcus, R. P. Tagg, Harry L. Swinney, Physical Review Letters, vol. 66, pp. 1161-1164, March 1991, doi: 10.1103/PhysRevLett.66.1161. — PDF
“Vortices in Quasiperiodic Taylor-Couette Flows”, K. T. Coughlin, P. S. Marcus, 1991, Lectures in Applied Mathematics, vol. 28, pp. 119-129.
“Nonlinear standing waves in Taylor-Couette flow”, Randall Tagg, W. Stuart Edwards, Harry L. Swinney, Philip S. Marcus, Physical Review A, vol. 39, no. 7, pp. 3734-3737, April 1989, doi: 10.1103/PhysRevA.39.3734. — PDF
“Simulation of flow between concentric rotating spheres. Part II. Transitions”, Philip S. Marcus, Laurette S. Tuckerman, The Journal of Fluid Mechanics, vol. 185, pp. 31-66, 1987, doi: 10.1017/S0022112087003070. — PDF
“Simulation of flow between concentric rotating spheres. Part I: Steady states”, Philip S. Marcus, Laurette S. Tuckerman, The Journal of Fluid Mechanics, vol. 185, pp.1-30, doi: 10.1017/S0022112087003069. — PDF
“Formation of Taylor vortices in spherical Couette flow”, Laurette Tuckerman, Philip Marcus, featured in Ninth International Conference on Numerical Methods in Fluid Dynamics with ed. Soubbaramayer, J. P. Boujot, volume 218 of Lecture Notes in Physics, pp. 552-556, published by Springer Berlin Heidelberg, 1985, print ISBN: 978-3-540-13917-1, article DOI: 10.1007/3-540-13917-6_198. — PDF
“Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling wave”, Philip S. Marcus, The Journal of Fluid Mechanics, vol. 146, pp. 65-113, 1984, doi: 10.1017/S0022112084001774. — PDF
“Simulation of Taylor-Couette flow. Part I. Numerical methods and comparison with experiment”, Philip S. Marcus, The Journal of Fluid Mechanics, vol. 146, pp. 45-64, 1984, doi: 10.1017/S0022112084001762. — PDF
“Wave speeds in wavy Taylor-vortex flow”, Gregory P. King, Y. Li, W. Lee, Harry L. Swinney, The Journal of Fluid Mechanics, vol. 141, pp. 365-390, 1984, doi: 10.1017/S0022112084000896. — PDF
“Simulation of cylindrical Couette flow”, Philip S. Marcus, Steven A. Orszag, Anthony T. Patera, featured in Proceedings of the Eighth International Conference on Numerical Methods in Fluid Dynamics with ed. E. Krause, volume 170 of Lecture Notes in Physics, pp. 371-376, published by Springer Berlin Heidelberg, 1982, print ISBN: 978-3-540-11948-7, article DOI: 10.1007/3-540-11948-5_45. — PDF
Relevant Research:
(2004) Breaking of rotational symmetry in cylindrically bounded 2D electron plasmas and 2D fluids, Physical Review Letters 93(21), p. 215002, APS, pdf
(2001) Turbulent Bursts in Couette—Taylor Flow, Fluid Mechanics and the Environment: Dynamical Approaches 77(11), p. 183-200, pdf, doi:10.1007/3-540-44512-9_10
(1996) Turbulent Bursts in Couette-Taylor Flow, Physical Review Letters 77(11), p. 2214-2217, pdf, doi:10.1103/PhysRevLett.77.2214
(1992) Modulated waves in Taylor-Couette flow Part 1. Analysis, Journal of Fluid Mechanics 234, p. 1, pdf, doi:10.1017/S0022112092000673
(1992) Low-Dimensional Spectral Truncations for Taylor-Couette Flow, Ordered and Turbulent Patterns in Taylor-Couette Flow 297, C David Andereck, F Hayot (ed.), p. 43-50, pdf, doi:10.1007/978-1-4615-3438-9_3
(1992) Modulated waves in Taylor-Couette flow Part 2. Numerical simulation, Journal of Fluid Mechanics 234, p. 19, pdf, doi:10.1017/S0022112092000685
(1991) Vortices in quasiperiodic Taylor-Couette flows, Lectures in Applied Mathematics 28, p. 119-129
(1991) Distinct quasiperiodic modes with like symmetry in a rotating fluid, Physical Review Letters 66(9), p. 1161-1164, pdf, doi:10.1103/PhysRevLett.66.1161
(1989) Nonlinear standing waves in Couette-Taylor flow, Physical Review A 39(7), p. 3734-3737, APS, pdf, doi:10.1103/PhysRevA.39.3734
(1987) Simulation of flow between concentric rotating spheres. Part 2. Transitions, Journal of Fluid Mechanics 185, p. 31-65, pdf, doi:10.1017/S0022112087003070
(1987) Simulation of flow between concentric rotating spheres. Part 1. Steady states, Journal of Fluid Mechanics 185, p. 1-30, pdf, doi:10.1017/S0022112087003069
(1985) Formation of taylor vortices in spherical Couette flow, Ninth International Conference on Numerical Methods in Fluid Dynamics 218, Soubbaramayer, J P Boujot (ed.), p. 552-556, pdf, doi:10.1007/3-540-13917-6_198
(1984) Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment, Journal of Fluid Mechanics 146, p. 45-64, pdf, doi:10.1017/S0022112084001762
(1984) Simulation of Taylor-Couette flow. Part 2. Numerical results for wavy-vortex flow with one travelling wave, Journal of Fluid Mechanics 146, p. 65-113, pdf, doi:10.1017/S0022112084001774
(1984) Wave speeds in wavy Taylor-vortex flow, Journal of Fluid Mechanics 141, p. 365-390, pdf, doi:10.1017/S0022112084000896
(1982) Simulation of cylindrical Couette flow, Eighth International Conference on Numerical Methods in Fluid Dynamics 170, E Krause (ed.), p. 371-376, pdf, doi:10.1007/3-540-11948-5_45
Abstracts
(1999) A New Mathematical Model of Turbulent Bursts, APS Division of Fluid Dynamics Meeting Abstracts, p. LA-02, url