International audienceWe justify supercritical geometric optics in small time for the defocusing semiclassical Nonlinear Schrodinger Equation for a large class of non-necessarily homogeneous nonlinearities. The case of a half-space with Neumann boundary condition is also studied
AbstractFor the semi-linear (higher order) wave equation and the nonlinear (higher order) Schrödinge...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
Abstract. Nonlinear geometric optics with various frequencies for entropy so-lutions only in L ∞ of ...
Rousset∗ We justify supercritical geometric optics in small time for the defocusing semiclassical No...
We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic...
Tohoku Math. J. 56 (2004), no. 3, 393-410International audienceWe study the validity of geometric op...
We study the validity of geometric optics in $L^\infty$ for nonlinear wave equations in three space ...
We prove some instability phenomena for semi-classical (linear or) nonlinear Schrodinger equations. ...
The Lax-Levermore strategy for analyzing the zero-dispersion limit of the KdV equation through its i...
It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media w...
We study the nonlinear Schrödinger equation with an inverse-square potential in dimensions 3 ≤ d ≤ 6...
For the semi-linear (higher order) wave equation and the nonlinear (higher order) Schrodinger equati...
We present some results around three directions: 1- Focusing at one point in nonlinear geometrical o...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
AbstractFor the semi-linear (higher order) wave equation and the nonlinear (higher order) Schrödinge...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
Abstract. Nonlinear geometric optics with various frequencies for entropy so-lutions only in L ∞ of ...
Rousset∗ We justify supercritical geometric optics in small time for the defocusing semiclassical No...
We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic...
Tohoku Math. J. 56 (2004), no. 3, 393-410International audienceWe study the validity of geometric op...
We study the validity of geometric optics in $L^\infty$ for nonlinear wave equations in three space ...
We prove some instability phenomena for semi-classical (linear or) nonlinear Schrodinger equations. ...
The Lax-Levermore strategy for analyzing the zero-dispersion limit of the KdV equation through its i...
It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media w...
We study the nonlinear Schrödinger equation with an inverse-square potential in dimensions 3 ≤ d ≤ 6...
For the semi-linear (higher order) wave equation and the nonlinear (higher order) Schrodinger equati...
We present some results around three directions: 1- Focusing at one point in nonlinear geometrical o...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
AbstractFor the semi-linear (higher order) wave equation and the nonlinear (higher order) Schrödinge...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
Abstract. Nonlinear geometric optics with various frequencies for entropy so-lutions only in L ∞ of ...
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