68 citations · 519 across the 21 of their papers we have counts for
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math.AP2017★ 20 cited
On the optimal design of wall-to-wall heat transport
Charles R. Doering, Ian Tobasco
We consider the problem of optimizing heat transport through an incompressible fluid layer. Modeling passive scalar transport by advection-diffusion, we maximize the mean rate of t…
math.DS2017★ 55 cited
Optimal bounds and extremal trajectories for time averages in nonlinear dynamical systems
Ian Tobasco, David Goluskin, Charles R. Doering
For any quantity of interest in a system governed by ordinary differential equations, it is natural to seek the largest (or smallest) long-time average among solution trajectories,…