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- W3149383722 abstract "The aim of this paper is to show time-decay estimates of solutions to linearized two-phase Navier-Stokes equations with surface tension and gravity. The original two-phase Navier-Stokes equations describe the two-phase incompressible viscous flow with a sharp interface that is close to the hyperplane xN=0 in the N-dimensional Euclidean space, N≥2. It is well-known that the Rayleigh–Taylor instability occurs when the upper fluid is heavier than the lower one, while this paper assumes that the lower fluid is heavier than the upper one and proves time-decay estimates of Lp-Lq type for the linearized equations. Our approach is based on solution formulas for a resolvent problem associated with the linearized equations." @default.
- W3149383722 created "2021-04-13" @default.
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- W3149383722 date "2021-04-01" @default.
- W3149383722 modified "2023-09-26" @default.
- W3149383722 title "Time-Decay Estimates for Linearized Two-Phase Navier–Stokes Equations with Surface Tension and Gravity" @default.
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- W3149383722 doi "https://doi.org/10.3390/math9070761" @default.
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