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Wednesday, October 10, 2012

CSCAMM Seminar - Prof. Maria Gualdani - Factorization of Non-Symmetric Operators and Exponential H-Theorem

We present an abstract method for deriving decay estimates on the resolvents of non-symmetric operators in Banach spaces in terms of estimates in another  typically smaller  reference Hilbert space. We then apply this approach to several equations of statistical physics, such as the Fokker-Planck equation and the linear and non-linear Boltzmann equation. The main outcome of the method is the first constructive proof of exponential decay towards global equilibrium for the fully nonlinear Boltzmann equation for hard spheres, conditionally to some smoothness assumptions. This is a joint work with Stephane Mischler and Clement Mouhot. {Will appear in FYI on Oct 10, 2012
Start Time:
2:00 PM
End Time:
3:00 PM
Common Location Name:
Computer Science Instructional Center
Web Address:
Other Contact Information:
Ann Ekechukwu CSCAMM +1 301 405 0652

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