4 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 n…
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…
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…
Spectral properties of Lévy Fokker--Planck equations
Hardy Chan, Marco A. Fontelos, MarÃa 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…