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Remarks on one-dimensional Compressible Navier-Stokes equations with density-dependent viscosity and vacuum

✍ Scribed by Zhen Hua Guo; Chang Jiang Zhu

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
256 KB
Volume
26
Category
Article
ISSN
1439-7617

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A remark on free boundary problem of 1-D
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✍ Changsheng Dou; Quansen Jiu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 202 KB

In this paper, we prove the existence and uniqueness of the weak solution of the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity l(q) = q h with h ∈ (0, c / 2], c > 1. The initial data are a perturbation of a corresponding steady solution and continuously contac