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Boundary Effect Under 2D Newtonian Gravity Potential in the Phase Space

  • Jiaxin Jin,
  • Chanwoo Kim

摘要

We study linear two-and-a-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.