The free boundary Euler equations with large surface tension

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• 作者：Marcelo M. Disconzi^a ; ¹ ; ^{marcelo.disconzi@vanderbilt.edu" class="auth_mail" title="E-mail the corresponding author} ; David G. Ebin^b ; ^{ebin@math.sunysb.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Large surface tension ; Free boundary ; Euler equations ; Incompressible fluid
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 July 2016
• 年：2016
• 卷：261
• 期：2
• 页码：821-889
• 全文大小：804 K

文摘

We study the free boundary Euler equations with surface tension in three spatial dimensions, showing that the equations are well-posed if the coefficient of surface tension is positive. Then we prove that under natural assumptions, the solutions of the free boundary motion converge to solutions of the Euler equations in a domain with fixed boundary when the coefficient of surface tension tends to infinity.