117 citations · 117 across the 2 of their papers we have counts for
2 papers
math.AP2008
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…
math.AP2008★ 117 cited
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…