Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11027681 | Nonlinear Analysis: Real World Applications | 2019 | 24 Pages |
Abstract
We study the three-dimensional nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum on 멉R3, which is either a bounded domain or a usual unbounded one such as the whole space R3
and an exterior one. In particular, the initial density can have compact support when Ω is unbounded. For initial data without additional compatibility conditions, we prove that there exists a unique local strong solution to the initial and initial boundary value problems. Moreover, the continuous of strong solutions on the initial data is derived under an additional compatibility condition.
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Authors
Boqiang Lü, Sisi Song,