Equivariant Schrödinger maps in two-spatial dimensions
Abstract. The Schrödinger map equation, sometimes referred to as the Landau-Lifshitz equation, is a continuum model describing the dynamics of the spin in ferromagnetic materials. The main objective of this talk is to present our recent advances in understanding the dynamical behaviour of solutions to this model. We will see how a geometric approach, that has been fruitful in the study of self-similar solutions to 1D-Schrödinger maps and other related equations, can shed light on the study of equivariant Schrödinger maps in two spatial dimensions.
This series of seminars is addressed to an audience interested in Harmonic Analysis in the broadest possible sense. The seminars will not necessarily concern the latest research results; the speaker may also give a talk about open problems or a survey colloquium.
The conferences take place generally every two weeks on Wednesday at 5:30 p. m. (Rome time).
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Organizers:
Tommaso Bruno (Università di Genova)
Valentina Casarino (Università degli Studi di Padova)
Bianca Gariboldi (Università degli Studi di Bergamo)
Alessio Martini (Politecnico di Torino)