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

Ansgar Jüngel, Chi Kun Lin, Kung Chien Wu

研究成果: Article同行評審

17 引文 斯高帕斯(Scopus)


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.

頁(從 - 到)725-744
期刊Communications in Mathematical Physics
出版狀態Published - 2014 七月

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

指紋 深入研究「An Asymptotic Limit of a Navier-Stokes System with Capillary Effects」主題。共同形成了獨特的指紋。