Recent publications

• Gegenbauer tau methods with and without spurious eigenvalues , Marios Charalambides and Fabian Waleffe, SIAM J. Numer. Analysis , 47, pp. 48-68 (2008) older arxiv version
• Lower branch coherent states in shear flows: transition and control , Jue Wang, John Gibson and Fabian Waleffe, Phys. Rev. Lett. 98, 204501 (May 2007)

• Spectrum of The Jacobi Tau approximation for the second derivative operator , Marios Charalambides and Fabian Waleffe, SIAM J Numer Analysis , 46, pp. 280-294 (2008) arXiv:math.NA/0607640, July 25, 2006 preprint

• Transition threshold and the self-sustaining process, F. Waleffe and Jue ("Joy") Wang, in IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions, Tom Mullin and Rich Kerswell (Eds.), pp. 85-106, Springer, 2005. (Copyrighted by Springer...)

• On some dyadic models of the Euler equations, Fabian Waleffe, Proc. Amer. Math. Soc. 134 (2006), 2913-2922. ( old preprint arXiv:math.AP/0410380, Oct 19, 2004.)

• Remarks on a quasi-linear model of the Navier-Stokes equations, Fabian Waleffe, arXiv:math.AP/0409310, Sept 19, 2004.

• Science 305, 1594-1598, Sept 10, 2004 Hof, van Doorne, Westerweel, Nieuwstadt, Faisst, Eckhardt, Wedin, Kerswell & Waleffe

• A new property of a class of Jacobi polynomials by George Csordas, Marios Charalambides and Fabian Waleffe, Proc. Amer. Math. Soc. 133 (2005), 3551-3560. (old preprint)

• Homotopy of exact coherent structures in plane shear flows by Fabian Waleffe, Physics of Fluids, 15, pp. 1517-1534 (June 2003).

• Stone, P. A., Waleffe, F., and Graham, M. D., ``Toward a structural understanding of turbulent drag reduction: nonlinear coherent states in viscoelastic shear flows," Phys. Rev. Lett. 89, 208301 (2002).

• Generation of slow large scales in forced rotating stratified turbulence by Leslie Smith and Fabian Waleffe, J. Fluid Mech., Vol. 451, pp. 145-168 (January 2002).

• Exact Coherent Structures in Channel Flow (preprint Jan 2001), by Fabian Waleffe, J. Fluid Mech., Vol. 435, pp. 93-102 (May 2001)

• Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence by Leslie M. Smith and Fabian Waleffe, Phys. Fluids, Vol. 11, pp. 1608-1622 (June 1999)

• Three-Dimensional Coherent States in Plane Shear Flows by Fabian Waleffe, Phys. Rev. Lett., Vol. 81, Number 19, pp. 4140-4143 (9 Nov 1998)

• How Streamwise Rolls and Streaks Self-Sustain in a Shear Flow: Part 2, by Fabian Waleffe and John Kim, AIAA paper 98-2997 (June 1998). [ gzipped PS ] (614KB, 2MB unzipped), [ PDF ] (291KB)

• How streamwise Rolls and Streaks Self-Sustain in a Shear Flow, by Fabian Waleffe and John Kim. In Self-Sustaining Mechanisms of wall bounded Turbulence (ed. R.L. Panton) pp. 385--422. Computational Mechanics Publications, Southampton. (1997) [ PDF ] (280KB)

• On a self-sustaining process in shear flows by Fabian Waleffe, Phys. Fluids, Vol. 9, pp. 883-900 (April 1997)