Existence of densities for the Navier Stokes equations with noise
Event details
| Date | 15.05.2012 |
| Hour | 10:15 › 11:15 |
| Speaker | Marco Romito |
| Location | |
| Category | Conferences - Seminars |
Existence of densities for the distribution of the solution of a stochastic equation is a probabilistic form of regularity. We present three different methods to prove existence of a density with respect to the Lebesgue measure for the law of any finite dimensional projection of solutions of the 3D Navier-Stokes equations forced by Gaussian noise.
Each of the three methods has some advantages, as well as disadvantages. The first two methods provide a qualitative result, the third method gives quantitative estimates and ensures a bit of regularity in Besov spaces, without restrictions on the decay of the coefficients of the (although non--degenerate) driving noise. Some (qualitative) hints can be given also for the hypoelliptic case.
This is a joint work with A. Debussche (ENS Cachan Bretagne).
Each of the three methods has some advantages, as well as disadvantages. The first two methods provide a qualitative result, the third method gives quantitative estimates and ensures a bit of regularity in Besov spaces, without restrictions on the decay of the coefficients of the (although non--degenerate) driving noise. Some (qualitative) hints can be given also for the hypoelliptic case.
This is a joint work with A. Debussche (ENS Cachan Bretagne).
Practical information
- General public
- Free
Organizer
- CIB
Contact
- Isabelle Derivaz-Rabii