HAL (Le Centre pour la Communication Scientifique Directe), May 2, 2011
We consider a non linear Schrodinger equation on a compact manifold of dimension d subject to som... more We consider a non linear Schrodinger equation on a compact manifold of dimension d subject to some multiplicative random perturbation. Using some stochastic Strichartz inequality, we prove the existence and uniqueness of a maximal solution in H1 under some general conditions on the diffusion coefficient. Under stronger conditions on the noise, the nonlinearity and the diffusion coefficient, we deduce the existence of a global solution when d = 2. This is a joint work with Z. Brzezniak.
HAL (Le Centre pour la Communication Scientifique Directe), Sep 10, 2012
We prove well posedeness and study various regularity proper(ties of a Aallen-Cahn Cah--Hilliard ... more We prove well posedeness and study various regularity proper(ties of a Aallen-Cahn Cah--Hilliard equation with a multiplicaive noise driven by a space-time white noise and an unbounded diffusion coefficient. This is based on a joint work with A. Antonopoulou and G. Karali
HAL (Le Centre pour la Communication Scientifique Directe), May 30, 2016
We study random perturbations of solitary solutions to generalized KdV equation. The amplitude of... more We study random perturbations of solitary solutions to generalized KdV equation. The amplitude of the perturbation is small and the exit time of a neighborhood of the modulated soliton is investigated. This is a joint work with Svetlana Roudenko.
HAL (Le Centre pour la Communication Scientifique Directe), May 2, 2011
We consider a non linear Schrodinger equation on a compact manifold of dimension d subject to som... more We consider a non linear Schrodinger equation on a compact manifold of dimension d subject to some multiplicative random perturbation. Using some stochastic Strichartz inequality, we prove the existence and uniqueness of a maximal solution in H1 under some general conditions on the diffusion coefficient. Under stronger conditions on the noise, the nonlinearity and the diffusion coefficient, we deduce the existence of a global solution when d = 2. This is a joint work with Z. Brzezniak.
HAL (Le Centre pour la Communication Scientifique Directe), Sep 10, 2012
We prove well posedeness and study various regularity proper(ties of a Aallen-Cahn Cah--Hilliard ... more We prove well posedeness and study various regularity proper(ties of a Aallen-Cahn Cah--Hilliard equation with a multiplicaive noise driven by a space-time white noise and an unbounded diffusion coefficient. This is based on a joint work with A. Antonopoulou and G. Karali
HAL (Le Centre pour la Communication Scientifique Directe), May 30, 2016
We study random perturbations of solitary solutions to generalized KdV equation. The amplitude of... more We study random perturbations of solitary solutions to generalized KdV equation. The amplitude of the perturbation is small and the exit time of a neighborhood of the modulated soliton is investigated. This is a joint work with Svetlana Roudenko.
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Papers by Annie Millet