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Asymptotic Behavior of Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

✍ Scribed by Changjiang Zhu


Publisher
Springer
Year
2009
Tongue
English
Weight
314 KB
Volume
293
Category
Article
ISSN
0010-3616

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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