Add to ORKGRousset∗ We justify supercritical geometric optics in small time for the defocusing semiclassical Non-linear Schrödinger Equation for a large class of non-necessarily homogeneous nonlinearities. The case of a half-space with Neumann boundary condition is also studied.
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlin...
We study numerically the semiclassical limit for the nonlinear Schrödinger equation thanks to a modi...
International audienceWe present analytical results and numerical simulations for a class of nonline...
International audienceWe justify supercritical geometric optics in small time for the defocusing sem...
We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic...
We study the validity of geometric optics in $L^\infty$ for nonlinear wave equations in three space ...
Tohoku Math. J. 56 (2004), no. 3, 393-410International audienceWe study the validity of geometric op...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
We study a system of inhomogeneous nonlinear Schrödinger equations arising in optical media with a χ...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media w...
Abstract. The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits...
Dedicated to Professor Yuh-Jia Lee on his sixtieth birthday. We establish the singular limits, inclu...
We study the semiclassical behavior of the focusing nonlinear Schrödinger equa-tion in 1+1 dimensio...
We present some results around three directions: 1- Focusing at one point in nonlinear geometrical o...
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlin...
We study numerically the semiclassical limit for the nonlinear Schrödinger equation thanks to a modi...
International audienceWe present analytical results and numerical simulations for a class of nonline...
International audienceWe justify supercritical geometric optics in small time for the defocusing sem...
We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic...
We study the validity of geometric optics in $L^\infty$ for nonlinear wave equations in three space ...
Tohoku Math. J. 56 (2004), no. 3, 393-410International audienceWe study the validity of geometric op...
The purpose of this paper is to present a comparison between the modified nonlinear Schrödinger (MN...
We study a system of inhomogeneous nonlinear Schrödinger equations arising in optical media with a χ...
The small dispersion limit of the focusing nonlinear Schroödinger equation (fNLS) exhibits a rich st...
It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media w...
Abstract. The small dispersion limit of the focusing nonlinear Schroödinger equation (NLS) exhibits...
Dedicated to Professor Yuh-Jia Lee on his sixtieth birthday. We establish the singular limits, inclu...
We study the semiclassical behavior of the focusing nonlinear Schrödinger equa-tion in 1+1 dimensio...
We present some results around three directions: 1- Focusing at one point in nonlinear geometrical o...
Reported in this paper are results concerning the Cauchy problem and the dynamics for a cubic nonlin...
We study numerically the semiclassical limit for the nonlinear Schrödinger equation thanks to a modi...
International audienceWe present analytical results and numerical simulations for a class of nonline...