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Global C∞-solutions to 1D compressible Navier–Stokes equations with density-dependent viscosity

✍ Scribed by Shijin Ding; Jinrui Huang; Xiao-e Liu; Huanyao Wen

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
198 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 coefficient l is proportional to q with 0<h 1, where q is the density. The existence and uniqueness of global solutions in H i ([0, 1])(i = 1, 2, 4) have been established in (

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