Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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math.AP2008★ 9 cited

Espaces critiques pour le système des equations de Navier-Stokes incompressibles

Pascal Auscher, Philippe Tchamitchian

In this work, we exhibit abstract conditions on a functional space E who insure the existence of a global mild solution for small data in E or the existence of a local mild solutio…

math.AP2008★ 28 cited

Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations

Olivier Gues, Guy Metivier, Mark Williams +1

For a general class of hyperbolic-parabolic systems including the compressible Navier-Stokes and compressible MHD equations, we prove existence and stability of noncharacteristic v…

math.AP2008

Interpolation of Sobolev spaces, Littlewood-Paley inequalities and Riesz transforms on graphs

Nadine Badr, Emmanuel Russ

Let $Γ$ be a graph endowed with a reversible Markov kernel $p$ , and $P$ the associated operator, defined by $P f (x) = \sum_{y} p (x, y) f (y)$ . Denote by $\nabla$ the discrete gradient. We…