Remark on Single Exponential Bound of the Vorticity Gradient for the Two-Dimensional Euler Flow Around a Corner

被引：3
|
作者：
Itoh, Tsubasa [1 ]
Miura, Hideyuki [2 ]
Yoneda, Tsuyoshi [1 ]
机构：
[1] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan
[2] Tokyo Inst Technol, Grad Sch Informat Sci & Engn, Math & Comp Sci, Meguro Ku, Tokyo 1528551, Japan
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2016年 / 18卷 / 03期
关键词：
Two-dimensional Euler equation; vorticity gradient growth; hyperbolic flow; Green function; EQUATIONS;
D O I：
10.1007/s00021-016-0269-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the two-dimensional Euler flow under a simple symmetry condition, with hyperbolic structure in a unit square D = {(x(1), x(2)) : 0 < x(1) + x(2) < root 2, 0 < -x(1) + x(2) root 2}. It is shown that the Lipschitz estimate of the vorticity on the boundary is at most a single exponential growth near the stagnation point.
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页码：531 / 537
页数：7
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