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

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.

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