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 |
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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. |
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