2 papers
math.PR2023
Energy-constrained random walk with boundary replenishment
Andrew Wade, Michael Grinfeld
We study an energy-constrained random walker on a length- interval of the one-dimensional integer lattice, with boundary reflection. The walker consumes one unit of energy for e…
physics.flu-dyn2023
Pendent Steady Rivulets: From Lubrication to Bifurcation
Michael Grinfeld, David Pritchard
We consider the shape of the free surface of steady pendent rivulets beneath a planar substrate. We formulate the governing equations in terms of two closely related dynamical syst…