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Global Strong Solution with Vacuum to the Two Dimensional Density-dependent Navier--Stokes System

✍ Scribed by Huang, Xiangdi; Wang, Yun


Book ID
127292817
Publisher
Society for Industrial and Applied Mathematics
Year
2014
Tongue
English
Weight
279 KB
Volume
46
Category
Article
ISSN
0036-1410

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Global C∞-solutions to 1D compressible N
✍ Shijin Ding; Jinrui Huang; Xiao-e Liu; Huanyao Wen πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 198 KB πŸ‘ 1 views

In this paper, we consider the existence of global smooth solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity and free boundaries. The initial density q 0 ∈ W 1,2n is bounded below away from zero and the initial velocity u 0 ∈ L 2n . The viscosity coeffic