Stability of Solitons under Rapidly Oscillating Random Perturbations of the Initial Conditions
Event details
| Date | 20.04.2012 |
| Hour | 10:15 › 11:15 |
| Speaker | Ennio Fedrizzi |
| Location | |
| Category | Conferences - Seminars |
Using the Inverse Scattering Transform and a diusion approximation limit theorem, it is possible to study the stability of the soliton components of the solution of the Nonlinear Schrödinger and Korteweg - de Vries equations under random perturbations of the initial conditions.
I will introduce these tools and show how, for a wide class of rapidly oscillating random perturbations, their use allows to reduce this problem to the study of a canonical system of stochastic dierential equations which only depends on the integrated covariance of the perturbation.
I will then discuss the situation when the perturbation is weak, which allows to analyze quantitatively the stability of solitons.
I will introduce these tools and show how, for a wide class of rapidly oscillating random perturbations, their use allows to reduce this problem to the study of a canonical system of stochastic dierential equations which only depends on the integrated covariance of the perturbation.
I will then discuss the situation when the perturbation is weak, which allows to analyze quantitatively the stability of solitons.
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii