Recent publications

Gegenbauer tau methods with and without spurious eigenvalues , Marios Charalambides and Fabian Waleffe, SIAM J. Numer. Analysis , 47, pp. 4868 (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. 280294 (2008)
arXiv:math.NA/0607640, July 25, 2006 preprint
 Transition threshold and the selfsustaining process, F. Waleffe and Jue ("Joy") Wang,
in IUTAM Symposium on LaminarTurbulent Transition and Finite Amplitude Solutions,
Tom Mullin and Rich Kerswell (Eds.), pp. 85106, Springer, 2005. (Copyrighted by Springer...)

On some dyadic models of the Euler equations,
Fabian Waleffe, Proc. Amer. Math. Soc. 134 (2006), 29132922.
( old preprint arXiv:math.AP/0410380, Oct 19, 2004.)
 Remarks
on a quasilinear model of the NavierStokes equations,
Fabian Waleffe, arXiv:math.AP/0409310, Sept 19, 2004.

Science 305, 15941598, 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), 35513560.
(old preprint)

Homotopy of exact coherent structures in plane shear flows by
Fabian Waleffe, Physics of Fluids, 15, pp. 15171534 (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. 145168 (January 2002).
 Exact Coherent Structures in Channel Flow (preprint Jan 2001),
by Fabian Waleffe,
J. Fluid Mech., Vol. 435, pp. 93102 (May 2001)
 Transfer of energy to twodimensional large scales in forced, rotating threedimensional turbulence by Leslie M. Smith and Fabian Waleffe,
Phys. Fluids, Vol. 11, pp. 16081622 (June 1999)

ThreeDimensional Coherent States in Plane Shear Flows
by Fabian Waleffe,
Phys. Rev. Lett., Vol. 81, Number 19, pp. 41404143 (9 Nov 1998)

How Streamwise Rolls and Streaks SelfSustain
in a Shear Flow: Part 2, by Fabian Waleffe and John Kim,
AIAA paper 982997 (June 1998).
[ gzipped PS ] (614KB, 2MB unzipped),
[ PDF ] (291KB)
 How streamwise Rolls and Streaks SelfSustain in a Shear Flow,
by Fabian Waleffe and John Kim. In SelfSustaining Mechanisms
of wall bounded Turbulence (ed. R.L. Panton) pp. 385422.
Computational Mechanics Publications, Southampton. (1997)
[ PDF ] (280KB)

On a selfsustaining process in shear flows by Fabian Waleffe,
Phys. Fluids, Vol. 9, pp. 883900 (April 1997)
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