Global existence to Boltzmann equation with external force in infinite vacuum

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Original languageEnglish
Article number53307
Journal / PublicationJournal of Mathematical Physics
Volume46
Issue number5
Publication statusPublished - May 2005

Abstract

In this paper, we give a condition on the bicharacteristic which guarantees the global existence of the mild solution to the Boltzmann equation with an external force for the hard-sphere model and potentials with angular cutoff in infinite vacuum. This generalizes the previous results to the case when the force can have arbitrary strength. The constructive condition on the bicharacteristic is used to obtain the pointwise estimates on the collision operator so that the global existence comes from the contraction mapping theorem. © 2005 American Institute of Physics.