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 > Fokker-Planck models for Bose-Einstein particles

## Fokker-Planck models for Bose-Einstein particlesAdd to your list(s) Download to your calendar using vCal - Toscani, G (Pavia)
- Thursday 09 September 2010, 16:30-17:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Partial Differential Equations in Kinetic Theories We study nonnegative, measure-valued solutions of the initial value problem for one-dimensional drift-diffusion equations where the linear drift has a driving potential with a quadratic growth at infinity, and the nonlinear diffusion is governed by an increasing continuous and bounded function. The initial value problem is studied in correspondence to initial densities that belong to the space of nonnegative Borel measures with finite mass and finite quadratic momentum and it is the gradient flow of a suitable entropy functional with respect to the Wasserstein distance. Due to the degeneracy of diffusion for large densities, concentration of masses can occur, whose support is transported by the drift. We shall show that the large-time behavior of solutions depends on a critical mass which can be explicitly characterized in terms of the diffusion function and of the drift term. If the initial mass is less than the critical mass, the entropy has a unique minimizer which is absolutely continuous with respect to the Lebesgue measure. Conversely, when the total mass of the solutions is greater than the critical one, the steady state has a singular part in which the exceeding mass is accumulated. 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 listsMethSoc: Cambridge Student Methodist Society Bennett Institute for Public Policy Book Launches## Other talksConstructing the organism in the age of abstraction The Ethical and Legal Elements of Capacity and Consent Poland, Europe, Freedom: A Personal Reflection on the Last 40 Years NatHistFest: the 99th Conversazione and exhibition on the wonders of the natural world. CANCELLED - Mathematical methods in reacting flows: From spectral to Lyapunov analysis The quasi-stationary nature of ‘steady-state’ cyclic deformation |