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

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題名:	On the Limit as the Density Ratio Tends to Zero for Two Perfect Incompressible Fluids Separated by a Surface of Discontinuity
作者:	Cheng,CHA;Coutand,D;Shkoller,S
貢獻者:	數學系
日期:	2010
上傳時間:	2012-03-27 18:23:12 (UTC+8)
出版者:	國立中央大學
摘要:	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.
關聯:	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
顯示於類別:	[數學系] 期刊論文

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