標題: | An Asymptotic Limit of a Navier-Stokes System with Capillary Effects |
作者: | 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 |
公開日期: | 1-七月-2014 |
摘要: | 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 |
期刊: | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
Volume: | 329 |
Issue: | 2 |
起始頁: | 725 |
結束頁: | 744 |
顯示於類別: | 期刊論文 |