241 citations · 1.8k across the 51 of their papers we have counts for
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Zermelo's problem: Optimal point-to-point navigation in 2D turbulent flows using Reinforcement Learning
Luca Biferale, Fabio Bonaccorso, Michele Buzzicotti +2
To find the path that minimizes the time to navigate between two given points in a fluid flow is known as Zermelo's problem. Here, we investigate it by using a Reinforcement Learni…
Clustering of exponentially separating trajectories
M. Wilkinson, B. Mehlig, K. Gustavsson +1
It might be expected that trajectories for a dynamical system which has no negative Lyapunov exponent (implying exponential growth of small separations will not cluster together. H…
Multiple regimes of diffusion
B. Mehlig, M. Wilkinson, V. Bezuglyy +2
We consider the diffusion of independent particles experiencing random accelerations by a space- and time-dependent force as well as viscous damping. This model can exhibit several…
Collisions of particles advected in random flows
K. Gustavsson, B. Mehlig, M. Wilkinson
We consider collisions of particles advected in a fluid. As already pointed out by Smoluchowski [Z. f. physik. Chemie XCII, 129-168, (1917)], macroscopic motion of the fluid can si…
Advective collisions
B. Andersson, K. Gustavsson, B. Mehlig +1
Small particles advected in a fluid can collide (and therefore aggregate) due to the stretching or shearing of fluid elements. This effect is usually discussed in terms of a theory…