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Lian, Ruxu; Huang, Lan; Liu, Jian

Global solutions to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity. (English) Zbl 1251.76010

J. Appl. Math. 2012, Article ID 395209, 22 p. (2012).
Summary: We consider the exterior problem and the initial boundary value problem for the spherically symmetric isentropic compressible Navier-Stokes equations with density-dependent viscosity coefficient in this paper. For regular initial density, we show that there exists a unique global strong solution to the exterior problem or the initial boundary value problem, respectively. In particular, the strong solution tends to the equilibrium state as \(t \rightarrow +\infty\).

Cited in 2 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations

Keywords:

exterior problem; initial boundary value problem; spherically symmetric isentropic compressible Navier-Stokes equations; density-dependent viscosity coefficient
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\textit{R. Lian} et al., J. Appl. Math. 2012, Article ID 395209, 22 p. (2012; Zbl 1251.76010)
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References:

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