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- W2169827385 abstract "In this paper, we consider the one-dimensional compressible isentropic Navier–Stokes equations with a general ‘pressure law’ and the density-dependent viscosity coefficient when the density connects to vacuum continuously. Precisely, the viscosity coefficient µ is proportional to ρθ and 0<θ<1, where ρ is the density. And the pressure P = P(ρ) is a general ‘pressure law’. The global existence and the uniqueness of weak solutions is proved, and a decay result for the pressure as t→ + ∞ is given. It is also proved that no vacuum states and no concentration states develop, and the free boundary do not expand to infinite. Copyright © 2006 John Wiley & Sons, Ltd." @default.
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- W2169827385 date "2006-01-01" @default.
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- W2169827385 title "Compressible Navier–Stokes equations with vacuum state in the case of general pressure law" @default.
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- W2169827385 doi "https://doi.org/10.1002/mma.708" @default.
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