179 citations · 355 across the 8 of their papers we have counts for
8 papers
Optimal Heat Transport in Rayleigh-Bénard Convection
David Sondak, Leslie M. Smith, Fabian Waleffe
Steady flows that optimize heat transport are obtained for two-dimensional Rayleigh-Bénard convection with no-slip horizontal walls for a variety of Prandtl numbers and Raylei…
Heat Transport by Coherent Rayleigh-Bénard Convection
Fabian Waleffe, Anakewit Boonkasame, Leslie M. Smith
Steady but generally unstable solutions of the 2D Boussinesq equations are obtained for no-slip boundary conditions and Prandtl number 7. The primary solution that bifurcates from…
Gegenbauer tau methods with and without spurious eigenvalues
Marios Charalambides, Fabian Waleffe
It is proven that a class of Gegenbauer tau approximations to a 4th order differential eigenvalue problem of hydrodynamic type provide real, negative and distinct eigenvalues, as i…
Lower branch coherent states in shear flows: transition and control
Jue Wang, John Gibson, Fabian Waleffe
Lower branch coherent states in plane Couette flow have an asymptotic structure that consists of O(1) streaks, streamwise rolls and a weak sinusoidal wave that develops…
Spectrum of the Jacobi tau approximation for the second derivative operator
Marios Charalambides, Fabian Waleffe
It is proved that the eigenvalues of the Jacobi Tau method for the second derivative operator with Dirichlet boundary conditions are real, negative and distinct for a range of the…
On some dyadic models of the Euler equations
Fabian Waleffe
Katz and Pavlovic recently proposed a dyadic model of the Euler equations for which they proved finite time blow-up in the Sobolev norm. It is shown that their model ca…