English

Boundary effect under 2D Newtonian gravity potential in the phase space

Analysis of PDEs 2023-10-13 v1

Abstract

We study linear two-half dimensional Vlasov equations under the logarithmic gravity potential in the half space of diffuse reflection boundary. We prove decay-in-time of the exponential moments with a polynomial rate, which depends on the base logarithm.

Keywords

Cite

@article{arxiv.2310.07947,
  title  = {Boundary effect under 2D Newtonian gravity potential in the phase space},
  author = {Jiaxin Jin and Chanwoo Kim},
  journal= {arXiv preprint arXiv:2310.07947},
  year   = {2023}
}

Comments

The original submission date for the publication: April/30/2023. arXiv admin note: substantial text overlap with arXiv:2207.08313

R2 v1 2026-06-28T12:48:03.411Z