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.

引用

页码：531 / 537

页数：7

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