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.
You are here
Hylomorphic solitons
Research Group:
Speaker:
Vieri Benci
Institution:
Università Pisa
Schedule:
Thursday, March 2, 2017 - 09:30
Location:
A-134
Abstract:
Openings
- Call of interest for positions in mathematics at SISSA
- Public Calls for Professors
- Temporary Researchers
- Post Doctoral Fellowships
- Open positions in MathLab
- SISSA Mathematical Fellowships
- PhD Scolarships
- SIS Fellowships
- Pre-PhD Fellowships
- MSc in Mathematics
- Master Degree in Data Science and Scientific Computing
- Professional Master Courses
- SISSA Mathematics Medals
Upcoming events
-
Valentina Beorchia, Valeria Chiadò Piat, Maria Strazullo
SISSA Women in Mathematics 2024
Monday, May 13, 2024 - 14:15
-
Antonio De Rosa
Min-max construction of anisotropic CMC surfaces
Thursday, May 16, 2024 - 14:00 to 16:00
-
Mattia Fogagnolo
The isoperimetric mass in nonnegative scalar curvature beyond smoothness and asymptotic flatness
Thursday, May 30, 2024 - 14:00 to 16:00
-
Marco Pozzetta
TBA
Thursday, June 13, 2024 - 14:00 to 15:00
Today's Lectures
-
11:00 to 13:00
-
14:00 to 16:00
Recent publications
-
G.P. Leonardi; G. Saracco,Rigidity and trace properties...
-
R. Marchello; A. Colombi; L. Preziosi; C. Giverso,A non local model for cell mig...
-
I. Prusak; D. Torlo; M. Nonino; G. Rozza,Optimisation–Based Coupling of...
-
A.Surya Boiardi; R. Marchello,Breaking the left-right symmet...