55 citations · 346 across the 27 of their papers we have counts for
28 papers
Lubrication dynamics of a settling plate
Andrew Wilkinson, Marc Pradas, Michael Wilkinson
If a flat, horizontal, plate settles onto a flat surface, it is known that the gap decreases with time as a power-law: . We consider what happens if the pla…
Physics-informed machine learning in asymptotic homogenization of elliptic equations
Celal Soyarslan, Marc Pradas
We apply physics-informed neural networks (PINNs) to first-order two-scale periodic asymptotic homogenization of the property tensor in a generic elliptic equation. The problem of…
Lacunarity Transition
Bartomeu Cucurull, Marc Pradas, Michael Wilkinson
Experiments investigating particles floating on a randomly stirred fluid show regions of very low density, which are not well understood. We introduce a simplified model for unders…
Control of droplet evaporation on smooth chemical patterns
Michael Ewetola, Rodrigo Ledesma-Aguilar, Marc Pradas
We investigate the evaporation of a two-dimensional droplet on a solid surface. The solid is flat but with smooth chemical variations that lead to a space-dependent local contact a…
Flooding dynamics of diffusive dispersion in a random potential
Michael Wilkinson, Marc Pradas, Gerhard Kling
We discuss the combined effects of overdamped motion in a quenched random potential and diffusion, in one dimension, in the limit where the diffusion coefficient is small. Our anal…
A linear, second-order, energy stable, fully adaptive finite-element method for phase-field modeling of wetting phenomena
B. Aymard, U. Vaes, M. Pradas +1
We propose a new numerical method to solve the Cahn-Hilliard equation coupled with non-linear wetting boundary conditions. We show that the method is mass-conservative and that the…