COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Stochastic nonlinear Schrodinger equations and modulation of solitary waves

## Stochastic nonlinear Schrodinger equations and modulation of solitary wavesAdd to your list(s) Download to your calendar using vCal - de Bouard, A (cole Polytechnique)
- Friday 22 January 2010, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Stochastic Partial Differential Equations (SPDEs) We focus on the asymptotic behavior of the solution of a model equation for Bose-Einstein condensation, in the case where the trapping potential varies randomly in time. The model is the so called Gross-Pitaevskii equation, with a quadratic potential with white noise fluctuations in time whose amplitude tends to zero. The initial condition is a standing wave solution of the unperturbed equation. We prove that up to times of the order of the inverse squared amplitude the solution decomposes into the sum of a randomly modulated standing wave and a small remainder, and we derive the equations for the modulation parameters. In addition, we show that the first order of the remainder, as the noise amplitude goes to zero, converges to a Gaussian process, whose expected mode amplitudes concentrate on the third eigenmode generated by the Hermite functions, on a certain time scale, as the frequency of the standing wave of the deterministic equation tends to its minimal value. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsFeatured talks Centre for Energy Studies Denise Schofield## Other talksThe Age of the Applied Economist: The Transformation of Economics Since the 1970s Bayesian deep learning Mechanical properties of cells or cell components on the micro- and nanometer scale Joseph Banks: science, culture and the remaking of the Indo-Pacific world Can land rights prevent deforestation? Evidence from a large-scale titling policy in the Brazilian Amazon. |