Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Équation de Schrödinger"'
Autor:
Bournissou, Mégane
Publikováno v:
Equations aux dérivées partielles [math.AP]. École normale supérieure de Rennes, 2022. Français. ⟨NNT : 2022ENSR0032⟩
This thesis is devoted to the control of the Schrödinger equation, on a bounded interval, with Dirichlet boundary conditions and bilinear control. We study its controllability around the ground state when the linearized system is not controllable. M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9d97bac311944f6447f0ef7643f6aef2
https://theses.hal.science/tel-03765871/file/AA_main.pdf
https://theses.hal.science/tel-03765871/file/AA_main.pdf
Autor:
van Tin, Phan
Publikováno v:
Analysis of PDEs [math.AP]. EDMITT, 2022. English. ⟨NNT : ⟩
In this thesis, we focus on studying local theory and long time behavior of solutions for nonlinear Schr\"odinger equations (NLS), especially derivative nonlinear Schr\"odinger equations (dNLS). We establish local theory for a dNLS with nonvanishing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______4074::e489504b57fd744ff1719bbe9dfd2175
https://hal.science/tel-03685653/document
https://hal.science/tel-03685653/document
Autor:
Barrué, Grégoire
Publikováno v:
Equations aux dérivées partielles [math.AP]. École normale supérieure de Rennes, 2022. Français. ⟨NNT : 2022ENSR0033⟩
This thesis deals with approximation diffusion problems. More precisely we study the Nonlinear Schrödinger equation with a random potential. We prove that the solution of this equation converges in distribution to the solution of a stochastic Nonlin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::aaa7021858549655c15a16b35ccc9a15
https://theses.hal.science/tel-03765875
https://theses.hal.science/tel-03765875
Autor:
Pozzoli, Eugenio
Publikováno v:
Optimization and Control [math.OC]. Sorbonne Université, 2021. English. ⟨NNT : 2021SORUS176⟩
In this thesis we study some problems of controllability, confinement, and transmission for the Schroödinger equation for some choices of Riemannian manifolds. We present a controllability test for the bilinear discrete spectrum Schrödinger equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______165::518f59119df5939649be54640763b271
https://theses.hal.science/tel-03482146
https://theses.hal.science/tel-03482146
Autor:
Pozzoli, Eugenio
Publikováno v:
Optimization and Control [math.OC]. Sorbonne Université, 2021. English. ⟨NNT : 2021SORUS176⟩
In this thesis we study some problems of controllability, confinement, and transmission for the Schroödinger equation for some choices of Riemannian manifolds. We present a controllability test for the bilinear discrete spectrum Schrödinger equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::518f59119df5939649be54640763b271
https://tel.archives-ouvertes.fr/tel-03482146/document
https://tel.archives-ouvertes.fr/tel-03482146/document
Trois résultats sous forme normale pour les équations de Schrödingeret le système abcd de Boussinesq
Autor:
NGUYEN, TRUNG
Publikováno v:
Analysis of PDEs [math.AP]. University of Nantes, 2021. English
We prove normal form results for Hamiltonian PDEs: the quintic nonlinear Schrödinger equation on the circle, the Schrödinger equation on a Zoll manifold and the abcd Boussinesq system on the circle.These results are proved via KAM procedure and Bir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::7806e98f3aec73031344dcc9e5ed0cdf
https://hal.archives-ouvertes.fr/tel-03354799
https://hal.archives-ouvertes.fr/tel-03354799
Autor:
Laurent Lafleche
Publikováno v:
Journal of Statistical Physics. 177:20-60
In this paper, we prove a quantitative version of the semiclassical limit from the Hartree to the Vlasov equation with singular interaction, including the Coulomb potential. To reach this objective, we also prove the propagation of velocity moments a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60775a746cacf6fec7978b23f86b6e10
https://doi.org/10.1007/s10955-019-02356-7
https://doi.org/10.1007/s10955-019-02356-7
Autor:
FRIEDERICH, Xavier
Publikováno v:
Equations aux dérivées partielles [math.AP]. Université de Strasbourg, 2021. Français
This thesis is devoted to the qualitative properties of the multi-solitons of three nonlinear focusing dispersive partial differential equations.The first new results concern the nonlinear Schrödinger equation (NLS). We construct smooth multi-solito
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::aee2d5c786d7eae1ece37975b6ac93d2
https://tel.archives-ouvertes.fr/tel-03242379/document
https://tel.archives-ouvertes.fr/tel-03242379/document
Autor:
Gassot, Louise
Publikováno v:
Equations aux dérivées partielles [math.AP]. Université Paris-Saclay, 2021. Français. ⟨NNT : 2021UPASM017⟩
This thesis is devoted to the study of the long-time behavior of solutions to two families of nonlinear PDEs. On the one hand, we are interested in the nonlinear cubic Schrödinger equation on the Heisenberg group, which displays total lack of disper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::10749c99c1d31779866db11ebd37052a
https://tel.archives-ouvertes.fr/tel-03282449/document
https://tel.archives-ouvertes.fr/tel-03282449/document
Autor:
Hannani, Amirali
This thesis is devoted to the study of random perturbation of two models of interacting particle systems related to quantum mechanics. First is a one-dimensional disordered chain of quantum harmonic oscillators, where a hydrodynamic limit inthe hyper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______166::a333e22a22ad591e68e01f0aaaab9264
https://theses.hal.science/tel-03663326
https://theses.hal.science/tel-03663326