193 citations · 748 across the 35 of their papers we have counts for
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Global Existence Results for the Anisotropic Boussinesq System in Dimension Two
Raphaël Danchin, Marius Paicu
We study the global existence issue for the two-dimensional Boussinesq system with horizontal viscosity in only one equation. We first examine the case where the Navier-Stokes equa…
On the linear wave regime of the Gross-Pitaevskii equation
Fabrice Bethuel, Raphael Danchin, Didier Smets
We study a long wave-length asymptotics for the Gross-Pitaevskii equation corresponding to perturbation of a constant state of modulus one. We exhibit lower bounds on the first occ…
Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces
R. Danchin, M. Paicu
This paper is devoted to the study of the Cauchy problem for the Boussinesq system with partial viscosity in dimension First we prove a global existence result for data i…
Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data
R. Danchin, M. Paicu
The present paper is dedicated to the study of the global existence for the inviscid two-dimensional Boussinesq system. We focus on finite energy data with bounded vorticity and we…