15 citations · 15 across the 2 of their papers we have counts for
2 papers
math.AP2016
Convergence of numerical approximations to non-linear continuity equations with rough force fields
F. Ben Belgacem, P-E Jabin
We prove quantitative regularity estimates for the solutions to non-linear continuity equations and their discretized numerical approximations on Cartesian grids when advected by a…
math.DS2016★ 15 cited
A dynamical systems approach for the contact-line singularity in thin-film flows
Fethi Ben Belgacem, Manuel V. Gnann, Christian Kuehn
We are interested in a complete characterization of the contact-line singularity of thin-film flows for zero and nonzero contact angles. By treating the model problem of source-typ…