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홈 > 학술정보 >학술행사 > 세미나
KAIST PDE 세미나

Title
On the Boltzmann equation without angular cutoff
Speaker
장진우   (IBS )
Date
2017-10-24 16:30:00
Host
KAIST
Place
(E6-1) Room 2413
Abstract
Starting with introducing a general Newtonian Boltzmann theory, we will establish global-in-time well-posedness and stability results for solutions nearby the relativistic Maxwellian to the special relativistic Boltzmann equation without angular cutoff. We assume the generic soft-potential conditions on the collision kernel in that were derived by Dudynski and Ekiel-Jezewska (Commun Math Phys 115(4):607--629, 1985). In this physical situation, the angular function in the collision kernel is not locally integrable, and the collision operator behaves like a non-isotropic fractional diffusion operator.
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