Séminaire Equations aux dérivées partielles
organisé par l'équipe Modélisation et contrôle
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Jade Le Quentrec
Theoretical and numerical study of the nonlinear Schrödinger equation with defects
11 mars 2025 - 14:00Salle de conférences IRMA
In this presentation, we present a study of the nonlinear Schrödinger equation involving a defect term, which materializes the presence of an impurity along a hypersurface.
First, we will adapt the techniques already used in the absence of a defect term to study the local or global well-posedness of our problem, as well as explosions in finite time. This will include a functional framework that takes into account the
singular term and a new viriel identity.
We will then focus on the schemes allowing us to compute numerical solutions. Special attention will be paid to the discretization of the default in finite differences. -
Giulia Sambataro
TBA
1 avril 2025 - 14:00A confirmer
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Mathias Dus
TBA
29 avril 2025 - 14:00A confirmer
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Florian Salin
TBA
6 mai 2025 - 14:00A confirmer
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Felix Kölher
TBA
13 mai 2025 - 14:00A confirmer
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Marius Zeinhofer
TBA
20 mai 2025 - 14:00A confirmer
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Ferdinand Thein
TBA
25 juin 2025 - 14:00Salle de conférences IRMA