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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…