Resonances in deformed tubes: twisting and bending & Gross-Pitaevskii equation and integrable systems

16:00 hrs.

 

Expositor

Pablo Miranda, (USach)

Título


Resonances in deformed tubes: twisting and bending

Abstract: In this talk we will consider  an infinite straight tube and  we will deform it  by a periodic twisting and a local bending. On the deformed tube we will define the Laplacian and will study the existence of scattering resonances created by the deformations. We will show the existence of exactly one resonance or one eigenvalue near the bottom of the essential spectrum, depending on the strength of the twisting and the bending. We will also obtain the asymptotic behavior of the resonance/eigenvalue as a function of the bending and twisting

17.00 hrs.

 

Expositor

Yong Liu, (School of Mathematics, University of Science and Technology of China)

Título

 

Gross-Pitaevskii equation and integrable systems

Abstract: We consider the travelling wave solutions of the Gross-Pitaevskii equation in the plane.  In the zero speed or subsonic region, we construct solutions using the theory of integrable systems, including KdV and KP equations.

Date: Nov 12, 2018 at 2018-11-12 16:00:00 h
Venue: Beauchef 851, Torre Norte, Piso 7, Sala de Seminarios John Von Neumann CMM,
Speaker: Pablo Miranda, & Yong Liu,
Affiliation: (USach) & (School of Mathematics, University of Science and Technology of China)
Coordinator: Hanne Van Den Bosch
Abstract:
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Posted on Nov 12, 2018 in CAPDE, Seminars