BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Regularity estimates for the Boltzmann equation Silvestre, Luis


The Boltzmann equation describes the evolution of particle densities, in terms of space and velocity, for gases and plasma. We will discuss the regularization effect of this equation in the in-homogeneous, non-cutoff case. We prove that the solution remains bounded and Holder continuous for as long as its associated hydrodynamic quantities are bounded and away from vacuum. Our analysis is based on techniques that originate in the study of parabolic integro-differential equations.

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