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A Stable Penalty Method for the Compressible Navier--Stokes Equations: II. One-Dimensional Domain Decomposition Schemes

✍ Scribed by Hesthaven, J. S.

Book ID
118176180
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
749 KB
Volume
18
Category
Article
ISSN
1064-8275

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On the domain dependence of solutions to
On the domain dependence of solutions to the Navier–Stokes equations of a two-dimensional compressible flow
✍ Fei Jiang; Zhong Tan 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 2 views

## Abstract We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions, with pressure satisfying __p__(ϱ)=__a__ϱlog^__d__^(ϱ) for large ϱ, here __d__>1 and __a__>0. After introducing useful tools from the theory of Orlicz spaces, we prove a compactness result