55 citations · 99 across the 6 of their papers we have counts for
6 papers
The critical layer in pipe flow at high Reynolds number
D. Viswanath
We report the computation of a family of traveling wave solutions of pipe flow up to . As in all lower-branch solutions, streaks and rolls feature prominently in these so…
Stable Manifolds and the Transition to Turbulence in Pipe Flow
D. Viswanath, P. Cvitanovic
Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting…
The dynamics of transition to turbulence in plane Couette flow
D. Viswanath
In plane Couette flow, the incompressible fluid between two plane parallel walls is driven by the motion of those walls. The laminar solution, in which the streamwise velocity vari…
Shuffling cards for blackjack, bridge, and other card games
Mark Conger, D. Viswanath
This paper is about the following question: How many riffle shuffles mix a deck of card for games such as blackjack and bridge? An object that comes up in answering this question i…
Normal approximations for descents and inversions of permutations of multisets
Mark Conger, D. Viswanath
Normal approximations for descents and inversions of permutations of the set are well known. A number of sequences that occur in practice, such as the human genome…
Riffle shuffles of decks with repeated cards
Mark Conger, D. Viswanath
By a well-known result of Bayer and Diaconis, the maximum entropy model of the common riffle shuffle implies that the number of riffle shuffles necessary to mix a standard deck of…