An Asymptotic Limit of a Navier-Stokes System with Capillary Effects

Ansgar Jüngel, Chi Kun Lin, Kung Chien Wu

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17 引文 斯高帕斯(Scopus)

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.

原文English
頁(從 - 到)725-744
頁數20
期刊Communications in Mathematical Physics
329
發行號2
DOIs
出版狀態Published - 2014 七月

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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