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20082026
most citedGlobal well-posedness issues for the inviscid Boussinesq system with Yudovich's type data

193 citations · 748 across the 35 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.AP2011★ 79 cited

Madelung, Gross-Pitaevskii and Korteweg

Rémi Carles, Raphaël Danchin, Jean-Claude Saut

This paper surveys various aspects of the hydrodynamic formulation of the nonlinear Schrodinger equation obtained via the Madelung transform in connexion to models of quantum hydro…

math.AP2011

A Lagrangian approach for the incompressible Navier-Stokes equations with variable density

Raphaël Danchin, Piotr Bogusław Mucha

Here we investigate the Cauchy problem for the inhomogeneous Navier-Stokes equations in the whole -dimensional space. Under some smallness assumption on the data, we show the ex…