39 citations · 67 across the 3 of their papers we have counts for
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WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity
Thomas Alazard, Rémi Carles
We consider the semi-classical limit for the Gross-Pitaevskii equation. In order to consider non-trivial boundary conditions at infinity, we work in Zhidkov spaces rather than in S…
Supercritical geometric optics for nonlinear Schrodinger equations
Thomas Alazard, Rémi Carles
We consider the small time semi-classical limit for nonlinear Schrodinger equations with defocusing, smooth, nonlinearity. For a super-cubic nonlinearity, the limiting system is no…
Loss of regularity for supercritical nonlinear Schrodinger equations
Thomas Alazard, Rémi Carles
We consider the nonlinear Schrodinger equation with defocusing, smooth, nonlinearity. Below the critical Sobolev regularity, it is known that the Cauchy problem is ill-posed. We sh…
Low Mach number flows, and combustion
Thomas Alazard
We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number and the Péclet number. We c…
Low Mach number limit of the full Navier-Stokes equations
T. Alazard
The low Mach number limit for classical solutions to the full Navier Stokes equations is here studied. The combined effects of large temperature variations and thermal conduction a…