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Remark on compressible Navier–Stokes equations with density-dependent viscosity and discontinuous initial data

✍ Scribed by Ting Zhang; Daoyuan Fang


Book ID
108176013
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
153 KB
Volume
339
Category
Article
ISSN
0022-247X

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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