Force stability of the Boltzmann equations

Ming Jiea Lyu, Kung Chien Wu, Laurent Desvillettes

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the Boltzmann equation with external force in the whole space, where the collision kernel is assumed to be hard potential and cutoff. We prove that the solutions of such Boltzmann equations are Lp (1 ≤ p < ∞) stable under the perturbation of external force. Our estimate is based on the gradient estimate of the solution. The key step of this paper is to estimate the solutions of the equations propagate in different forward bi-characteristic.

Original languageEnglish
Article number24500081
JournalInternational Journal of Mathematics
Volume35
Issue number4
DOIs
Publication statusPublished - 2024 Mar 1

All Science Journal Classification (ASJC) codes

  • General Mathematics

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