On the limit as the density ratio tends to zero for two perfect incompressible fluids separated by a surface of discontinuity

C. H.Arthur Cheng, Daniel Coutand, Steve Shkoller

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

We study the asymptotic limit as the density ratio ρ-+ → 0, where ρ+ and ρ- are the densities of two perfect incompressible 2-D/3-D fluids, separated by a surface of discontinuity along which the pressure jump is proportional to the mean curvature of the moving surface. Mathematically, the fluid motion is governed by the two-phase incompressible Euler equations with vortex sheet data. By rescaling, we assume the density ρ+ of the inner fluid is fixed, while the density ρ- of the outer fluid is set to ε. We prove that solutions of the free-boundary Euler equations in vacuum are obtained in the limit as ε → 0.

原文???core.languages.en_GB???
頁(從 - 到)817-845
頁數29
期刊Communications in Partial Differential Equations
35
發行號5
DOIs
出版狀態已出版 - 5月 2010

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