35 citations · 36 across the 3 of their papers we have counts for
3 papers
math.AP2008
A priori convergence estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions
Eric Bonnetier, Didier Bresch, Vuk Milisic
Stents are medical devices designed to modify blood flow in aneurysm sacs, in order to prevent their rupture. Some of them can be considered as a locally periodic rough boundary. I…
math.AP2006★ 35 cited
Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
Bresch Didier, Guy Metivier
This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed t…
math.AP2006★ 1 cited
High Order Multi-Scale Wall-Laws, Part I : The Periodic Case
Didier Bresch, Vuk Milisic
In this work we present new wall-laws boundary conditions including microscopic oscillations. We consider a newtonian flow in domains with periodic rough boundaries that we simplif…