On the Limit as the Density Ratio Tends to Zero for Two Perfect Incompressible Fluids Separated by a Surface of Discontinuity

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51145

Title:	On the Limit as the Density Ratio Tends to Zero for Two Perfect Incompressible Fluids Separated by a Surface of Discontinuity
Authors:	Cheng,CHA;Coutand,D;Shkoller,S
Contributors:	數學系
Date:	2010
Issue Date:	2012-03-27 18:23:12 (UTC+8)
Publisher:	國立中央大學
Abstract:	We study the asymptotic limit as the density ratio -/+0, where + and - 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 + of the inner fluid is fixed, while the density - of the outer fluid is set to epsilon. We prove that solutions of the free-boundary Euler equations in vacuum are obtained in the limit as epsilon 0.
Relation:	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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