Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series IPHT-PHM
Subjects math-ph
Date Monday 3 June 2019
Time 11:00
Institute IPHT
Seminar Room Salle Claude Itzykson, Bât. 774
Speaker's Last Name Valeria Banica
Speaker's First Name
Speaker's Email Address
Speaker's Institution Jacques-Louis Lions (Sorbonne)
Title On singular solutions of LIA, the Heisenberg model and the cubic Schrödinger equation
Abstract In this talk I will first sketch the derivation of LIA (Local Induction Approximation) as a model for the dynamics of vortex filaments in 3-D fluids. Then I will describe its link with the classical continuous Heisenberg model and with the 1-D cubic Schrödinger equation. Finally I shall present some recent results on solutions generating a singularity in finite time.
arXiv Preprint Number

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