Hypocoercivity for some linear kinetic equations with a boundary

Add to your list(s) Download to your calendar using vCal

• Frédéric Hérau (Nantes)
• Monday 06 February 2012, 16:00-17:00
• CMS, MR15.

If you have a question about this talk, please contact Jonathan Ben-Artzi.

We consider the Fokker-Planck equation or the linear Boltzmann equation in a bounded domain with a possible external potential and with specular reflexion conditions at the boundary. We show existence and uniqueness of a weak solution in weighted adapted spaces, and prove explicit exponential time decay to the equilibrium. Hypocoercivity estimates are a consequence of coercivity of the collision part, coercivity in space variable of a Witten Laplacian, and an explicit “cross operator” mixing velocity and space variables. This is a joint work with D. Le Peutrec (Paris 11).

This talk is part of the Partial Differential Equations seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS, MR15
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• My seminars
• Partial Differential Equations seminar
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.