| Equipe(s) : | doctorants, |
| Responsables : | Salim Alloun, Pedro Alves, Baptiste Dugué, Brian Flanagan, Ivory Fronteau, Kostyantyn Krutoy |
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| Description | Le séminaire des doctorant.e.s est l'occasion pour les doctorant.e.s de présenter des résultats et des problématiques dignes d'intérêt devant un public de non-spécialistes. L'ambiance y est informelle ; poser des questions naïves est encouragé, et les questions moins naïves sont bienvenues dans la mesure où elles n'entravent pas le bon déroulement de l'exposé. Chaque jeudi à 18h, en alternance entre Jussieu et Sophie Germain. The PhD seminar is an opportnuity for PhD students to present results and topics worthy of interest in front of a non-specialist audience. The mood is informal ; asking naive questions is highly encouraged and less naive questions are also welcomed, as long as they don't intefere with the smoothness of the talk. Every Thursday at 6pm, alternating between Jussieu and Sophie Germain. |
| Orateur(s) | Quentin Chauleur - IRMAR Rennes 1, |
| Titre | Logarithmic Schrödinger Equations |
| Date | 07/04/2021 |
| Horaire | 17:00 à 18:00 |
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| Diffusion | https://bbb-front.math.univ-paris-diderot.fr/recherche/rom-jih-e33-pkv |
| Résume | First, we are going to describe the classical techniques used in the study of linear and nonlinear Schrödinger equations. Then we will look at a new nonlinear Schrödinger equation which features two logarithmic nonlinearities. We will describe the behavior of gaussian solutions, which are particular solutions of our equation. We will then present the long-time behavior and briefly talk about the global existence of weak solutions to our equation. We will conclude with some numerical simulations in order to illustrate our convergences. During this talk, I will focus on the link between Schrödinger equations and the compressible quantum fluid mechanics theory. |
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