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 > Upper and lower bounds for the spatially homogeneous Landau equation for Maxwellian molecules

## Upper and lower bounds for the spatially homogeneous Landau equation for Maxwellian moleculesAdd to your list(s) Download to your calendar using vCal - Nualart, E (Universit Paris 13 Nord)
- Thursday 13 September 2012, 12:00-12:50
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Stochastic Partial Differential Equations (SPDEs) In this talk we will introduce the spatially homogeneous Landau equation for Maxwellian molecules, widely studied by Villani and Desvillettes, among others. It is a non-linear partial differential equation where the unknown function is the density of a gas in the phase space of all positions and velocities of particles. This equation is a common kinetic model in plasma physics and is obtained as a limit of the Boltzmann equation, when all the collisions become grazing. We will first recall some known results. Namely, the existence and uniqueness of the solution to this PDE , as well as its probabilistic interpretation in terms of a non-linear diffusion due to Gurin. We will then show how to obtain Gaussian lower and upper bound for the solution via probabilistic techniques. Joint work with Franois Delarue and Stphane Menozzi. 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 listsPhysical Biology seminars Symposium on Computational Biology Fitzwilliam College Foundation Lectures## Other talksIntelligent Self-Driving Vehicles Whence the force of the law? John Rawls and the course of American legal philosophy Art speak No interpretation of probability Train and equip: British overseas security assistance in the Cold War Global South |