On the Free Boundary to the Incompressible Euler Equations  

作　　者：Ye-min Chen 

机构地区：[1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China

出　　处：《Acta Mathematicae Applicatae Sinica》2005年第3期389-398,共10页应用数学学报（英文版）

摘　　要：In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R^3 with free boundary. Motivated by [1], we find that in this particular case, we do not need the complicated energy functional in [1], instead we can use a simpler replacement and get the a priori energy estimate for a positive time, which depends only on the initial data.In this paper, we consider an inviscid, incompressible, irrotational fluid in a region of R^3 with free boundary. Motivated by [1], we find that in this particular case, we do not need the complicated energy functional in [1], instead we can use a simpler replacement and get the a priori energy estimate for a positive time, which depends only on the initial data.

关 键 词：Incompressible Euler equation free boundary a priori estimate. 

分 类 号：O17[理学—数学]