Dia: Dimecres, 21 de març de 2018

Lloc: Aula S01, Facultat de Matemàtiques i Estadística, UPC.

- Hora: 16h00m Café i galetes
- Hora: 16h15m

A càrrec de: Otávio Gomid, Universidade Estadual de Campinas i UPC

Títol: Critical Energy in Soliton-Defect Interaction Models

Resum: In this talk, we present a toy-model for interactions
between kinks (solitons) of the sine-Gordon equation and a weak defect
(a small perturbation modeled by a Dirac delta function).
We consider a finite-dimensional reduction of the sine-Gordon equation
which is given by a 2-degrees of freedom Hamiltonian H, and we propose
a geometric approach to give conditions on the energy of the system to
admit kinks. More precisely, we obtain an asymptotic expression of the
critical energy *h _{c}* for which the system admits kinks with small
amplitude for energies

This is a joint work with M. Guardia and T. M. Seara.

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Last updated: Mon Mar 19 08:35:17 2018