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


文件中的檔案:

  1. 000336409200010.pdf

若為 zip 檔案,請下載檔案解壓縮後,用瀏覽器開啟資料夾中的 index.html 瀏覽全文。