17 citations · 29 across the 14 of their papers we have counts for
15 papers
Quartic Lyapunov functions for global fluid stability
David Darrow, Elizabeth Carlson, David Goluskin
A fluid system is 'globally stable' if all initial conditions eventually converge to the same state. Since Reynolds (1895) and Orr (1907), the standard way to show global stability…
On the Geometry of Spreading Puddles
David Darrow
We develop a geometric model for the spreading of shallow, viscous puddles of arbitrary shape, building on the recent 'capillary current' model for axisymmetric droplets. In short,…
Single-particle Fraunhofer diffraction in a classical pilot-wave model
David Darrow, John W. M. Bush
Walking oil droplets offer a qualitative, classical analog of single-particle diffraction. Making this analog quantitative has proven challenging, leading recent authors to conject…
Extending the Droplet-Wave Statistical Correspondence in Walking Droplet Dynamics
Skyler Mao, David Darrow
Walking droplets -- millimetric oil droplets that self-propel across the surface of a vibrating fluid bath -- exhibit striking emergent statistics that remain only partially unders…
Capillary currents and viscous droplet spreading
David Darrow, Lucas Warwaruk, John W. M. Bush
We present the results of a combined experimental and theoretical study of the spreading of viscous droplets over rigid substrates. First, we experimentally investigate the wetting…
A Spectral Theory of Scalar Volterra Equations
David Darrow, George Stepaniants
This work aims to bridge the gap between pure and applied research on scalar, linear Volterra equations by examining five major classes: integral and integro-differential equations…
On Unitary Monodromy of Second-Order Ordinary Differential Equations
David Darrow, Eric Chen, Alex Zitzewitz
Given a second-order, holomorphic, linear differential equation on a punctured Riemann surface, we say that its monodromy group is…
Revisiting de Broglie's Double-Solution Pilot-Wave Theory with a Lorentz-Covariant Lagrangian Framework
David Darrow, John W. M. Bush
The relation between de Broglie's double-solution approach to quantum dynamics and the hydrodynamic pilot-wave system has motivated a number of recent revisitations and extensions…
Convergence to Bohmian mechanics in a de Broglie-like pilot-wave system
David Darrow
Bohmian mechanics supplements the quantum wavefunction with deterministic particle trajectories, offering an alternate, dynamical language for quantum theory. However, the Bohmian…
Detecting eigenvectors of an operator that are near a specified subspace
David Darrow, Jeffrey S. Ovall
In modeling quantum systems or wave phenomena, one is often interested in identifying eigenstates that approximately carry a specified property; scattering states approximately ali…
A Quasi-Optimal Spectral Solver for the Heat and Poisson Equations in a Closed Cylinder
David Darrow
We develop a spectral method to solve the heat equation in a closed cylinder, achieving a quasi-optimal complexity and high-order, spectral accuracy. The alg…
Real surreal trajectories in pilot-wave hydrodynamics
Valeri Frumkin, David Darrow, Ward Struyve +1
In certain instances, the particle paths predicted by Bohmian mechanics are thought to be at odds with classical intuition. A striking illustration arises in the interference exper…
Caustics of Lagrangian homotopy spheres with stably trivial Gauss map
Daniel Alvarez-Gavela, David Darrow
For each positive integer , we give a geometric description of the stably trivial elements of the group . In particular, we show that all such elements admit repres…
Scaling Limits of Fluctuations of Extended-Source Internal DLA
David Darrow
In a previous work, we showed that the 2D, extended-source internal DLA (IDLA) of Levine and Peres is -close to its scaling limit, if is the lattice size. In this pape…
A Convergence Rate for Extended-Source Internal DLA in the Plane
David Darrow
Internal DLA (IDLA) is an internal aggregation model in which particles perform random walks from the origin, in turn, and stop upon reaching an unoccupied site. Levine and Peres s…