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BIRS Workshop Lecture Videos

Hypocoercivity in Phi-entropy for linear relaxation Boltzmann equation Evans, Josephine


As well as results in Hilbert spaces, Villani's memoire on hypocoercivity contains convergence to equilibrium results measured in relative entropy. Since then hypocoercivity in more general Phi entropies has been studied by several authors. These works have mainly been for diffusion equations which can be put in a 'Hormander sum of squares form'. The linear relaxation Boltzmann equation is a simple equation not of this form for which hypocoercivity in Phi entropies can still be shown but with extra terms added to the functional which would not be needed for a diffusion.

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