On the Existence and Uniqueness Theory for Steady Compressible Viscous Flow
On the Existence and Uniqueness Theory for Steady Compressible Viscous Flow
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论稳态可压缩粘性流的存在唯一性理论
DOI：
10.1007/978-3-0348-8424-2_5
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
M. Padula
中科院分区：
文献类型：
--
作者：
J. G. Heywood;M. Padula
我们基于新的迭代方案给出了可压缩粘性流存在理论的简化方法。本文介绍了在具有均匀边界条件的有界域中稳定等温流的背景下的方案。使用类似于证明其存在所使用的估计，所获得的解决方案被证明是局部唯一的。还研究了第二种实现独特性的直接方法。这里提出的分析基于对 W3,2×W2,2 中速度和密度的估计。似乎可以根据 W2,p×W1,p（对于 p>n）的估计给出类似的分析。
We give a simplified approach to the existence theory for compressible viscous flow, based on a new iterative scheme. This paper introduces the scheme in the context of steady isothermal flow in a bounded domain with homogeneous boundary conditions. The solution that is obtained is shown to be locally unique, using estimates similar to those used in proving its existence. A second direct approach to uniqueness is also investigated. The analysis presented here is based on estimates for the velocity and density inW3,2×W2,2. It appears to be possible to give a similar analysis based on estimates inW2,p×W1,p, forp>n.