Title: | An Asymptotic Limit of a Navier-Stokes System with Capillary Effects |
Authors: | 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) Department of Applied Mathematics Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics |
Issue Date: | 1-Jul-2014 |
Abstract: | 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. |
URI: | http://dx.doi.org/10.1007/s00220-014-1961-9 http://hdl.handle.net/11536/24391 |
ISSN: | 0010-3616 |
DOI: | 10.1007/s00220-014-1961-9 |
Journal: | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
Volume: | 329 |
Issue: | 2 |
Begin Page: | 725 |
End Page: | 744 |
Appears in Collections: | Articles |
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