Free Molecular Flow with Boundary Effect

Hung Wen Kuo, Tai Ping Liu, Li Cheng Tsai

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We study the dissipative effect of the boundary condition in the kinetic theory. We focus our study on the simplest situation of the free molecular flow with diffuse reflection boundary condition and constant boundary temperature, T*. The geometry is also chosen to be the simplest ones, a bounded symmetric domain in ℝd: an interval for d = 1, a disk for d = 2, and a ball for d = 3. It is shown that the solution converges to the global Maxwellian with the given boundary temperature T*. We obtain the optimal convergence rates of (t + 1)-d. The stochastic formulation of Shih-Hsien Yu is refined and generalized for our analysis.

Original languageEnglish
Pages (from-to)375-409
Number of pages35
JournalCommunications in Mathematical Physics
Volume318
Issue number2
DOIs
Publication statusPublished - 2013 Feb 11

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Free Molecular Flow with Boundary Effect'. Together they form a unique fingerprint.

Cite this