From the Boltzmann equation to the Stokes‐Fourier system in a bounded domain

From the Boltzmann equation to the Stokes‐Fourier system in a bounded domain
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DOI:
10.1002/cpa.10095
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发表时间:
2003-09
影响因子:
3
通讯作者:
N. Masmoudi;L. Saint-Raymond
N. Masmoudi;L. Saint-Raymond
中科院分区:
数学1区
文献类型:
--
作者:
N. Masmoudi;L. Saint-Raymond

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We prove that the renormalized solutions of the Boltzmann equation considered in a bounded domain with different types of (kinetic) boundary conditions converge to the Stokes‐Fourier system with different types of (fluid) boundary conditions when the main free path goes to zero. This extends the work of F. Golse and D. Levermore [9] to the case of a bounded domain. © 2003 Wiley Periodicals, Inc.