Browsing by Author "Juengel, Ansgar"

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An Asymptotic Limit of a Navier-Stokes System with Capillary Effects
(2014-07-01)
Juengel, Ansgar
;
Lin, Chi-Kun
;
Wu, Kung-Chien
;
應用數學系
;
數學建模與科學計算所(含中心)
A combined incompressible and vanishing capillarity limit in the barotropic compressible Navier-Stokes equations for smooth solutions is proved. The equations are considered on the two-dimensional torus with well prepared initial data. The momentum equation contains a rotational term originating from a Coriolis force, a general Korteweg-type tensor modeling capillary effects, and a density-dependent viscosity. The limiting model is the viscous quasi-geostrophic equation for the "rotated" velocity potential. The proof of the singular limit is based on the modulated energy method with a careful choice of the correction terms.