135 citations · 435 across the 36 of their papers we have counts for
37 papers
Evolution of viscous vortex filaments and soliton-type propagation
Marco A. Fontelos, Mikel Ispizua, Luis Vega
We study the evolution of a viscous incompressible fluid whose initial vorticity is supported on a smooth open curve. We show that, for and sufficiently small Reynolds nu…
Phase field modelling of the growth and detachment of bubbles in a hydrogen electrolyzer
Carlos Uriarte, Marco A. Fontelos, Manuel Arrayás
We develop and implement numerically a phase field model for the growth and detachment of a gas bubble resting on an electrode and being filled with hydrogen produced by water elec…
Spectral properties of Lévy Fokker--Planck equations
Hardy Chan, Marco A. Fontelos, María del Mar González
Hermite polynomials, which are associated to a Gaussian weight and solve the Laplace equation with a drift term of linear growth, are classical in analysis and well-understood via…
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory
Marco Antonio Fontelos, Francesco Salvarani, Nastassia Pouradier Duteil
In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconne…
Phase field modelling of the detachment of bubbles from a solid substrate
Carlos Uriarte, Marco A. Fontelos, Manuel Arrayás
We develop and implement numerically a phase field model for the evolution and detachment of a gas bubble resting on a solid substrate and surrounded by a viscous liquid. The bubbl…
Controllability for a non-local formulation of surface gravity waves
M. A. Fontelos, R. Lecaros, J. López-Ríos +1
In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differ…