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Hylomorphic solitons

Speaker: 
Vieri Benci
Institution: 
Università Pisa
Schedule: 
Thursday, March 2, 2017 - 09:30
Location: 
A-134
Abstract: 

Roughly speaking a solitary wave is a solution of a field equation whose energy travels as a localized packet and which preserves this localization in time. A soliton is a solitary wave which exhibits some strong form of stability so that it has a particle-like behavior. The solitons whose existence can be established via the ratio energy/charge will be called hylomorphic solitons. In the first part of the talk, I will present these general ideas. In the second part, I will show a very general abstract theorem which allow to prove the existence of hylomorphic soliton in many different situations. Finally I will show the application of this theorem to the Nonlinear Schroedinger equation, to the Nonlinear Klein-Gordon eq., to the generalized KdV eq., to the Benjamin-Ono eq. and to a model of suspended bridge.

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