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• W1986620331 abstract "In this paper, we consider the three-dimensional isentropic compressible fluid models of Korteweg type, called the compressible Navier--Stokes--Korteweg system. We mainly present the vanishing capillarity limit of the smooth solution to the initial value problem. Precisely, we first establish the uniform estimates of the global smooth solution with respect to the capillary coefficient $kappa$. Then by the Lions--Aubin lemma, we show that the unique smooth solution of the three-dimensional Navier--Stokes--Korteweg system converges globally in time to the smooth solution of the three-dimensional Navier--Stokes system as $kappa$ tends to zero. Also, we give the convergence rate estimates for any given positive time." @default.
• W1986620331 created "2016-06-24" @default.
• W1986620331 creator A5018140737 @default.
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• W1986620331 date "2014-01-01" @default.
• W1986620331 modified "2023-09-27" @default.
• W1986620331 title "Vanishing Capillarity Limit of the Compressible Fluid Models of Korteweg Type to the Navier--Stokes Equations" @default.
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• W1986620331 doi "https://doi.org/10.1137/130942231" @default.
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