44 citations · 51 across the 9 of their papers we have counts for
4 papers · 1 filter
A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions
Matthieu Bonnivard, Igor Pažanin, Francisco J. Suárez-Grau
Inspired by the lubrication framework, in this paper we consider a micropolar fluid flow through a rough thin domain, whose thickness is considered as the small parameter $\varepsi…
Modeling Carreau fluid flows through a very thin porous medium
María Anguiano, Matthieu Bonnivard, Francisco J. Suárez-Grau
This study investigates three-dimensional, steady-state, and non-Newtonian flows within a very thin porous medium (VTPM). The medium is modeled as a domain confined between two par…
A field-road system with a rectifiable set
Matthieu Bonnivard, Romain Ducasse, Antoine Lemenant +1
The aim of this paper is to define a field-road system in 2D where the road is a merely 1D-rectifiable set. For this purpose we introduce a general setting in order to define a par…
Phase field approximation for Plateau's problem: a curve geodesic distance penalty approach
Matthieu Bonnivard, Elie Bretin, Antoine Lemenant +1
This work focuses on a phase field approximation of Plateau's problem. Inspired by Reifenberg's point of view, we introduce a model that combines the Ambrosio-Torterelli energy wit…