On the artificial compressibility method for the Navier Stokes Fourier system
On the artificial compressibility method for the Navier Stokes Fourier system
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纳维斯托克斯傅里叶系统的人工压缩性方法
DOI：
10.1090/s0033-569x-2010-01163-6
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
D. Donatelli
中科院分区：
文献类型：
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作者：
D. Donatelli
本文讨论了不可压缩N-S-S-F-F系统弱解的逼近问题。特别地，推广了Temam在有界域和全空间情况下求解Navier-Stokes方程Leray弱解的人工可压缩性方法。利用逼近系统压力的波动方程结构，利用Strichartz型色散估计实现了逼近序列的收敛。证明了近似速度场在散度自由向量上的投影是相对紧致的，并且收敛到不可压缩的N-S-S-F-F系统的弱解。
This paper deals with the approximation of the weak solutions of the incompressible Navier Stokes Fourier system. In particular it extends the artificial compressibility method for the Leray weak solutions of the Navier Stokes equation, used by Temam, in the case of a bounded domain and later in the case of the whole space. By exploiting the wave equation structure of the pressure of the approximating system the convergence of the approximating sequences is achieved by means of dispersive estimate of Strichartz type. It will be proved that the projection of the approximating velocity fields on the divergence free vectors is relatively compact and converges to a weak solution of the incompressible Navier Stokes Fourier system.
关于斯托克斯漂移
DOI：
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发表时间：
2010
期刊：
影响因子：
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作者：
Kanbayashi;Hiroshi;Hirohisa Takenoshita;H.Okamoto
通讯作者：
H.Okamoto