A harmonic maps approach to fluid flows

被引：48

作者：

Constantin, Olivia ^{[1
]}

Martin, Maria J. ^{[2
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

[2] Univ Eastern Finland, Dept Math & Phys, POB 111, Joensuu 80101, Finland

来源：

MATHEMATISCHE ANNALEN | 2017年 / 369卷 / 1-2期

基金：

奥地利科学基金会;

关键词：

SLOPING BEACH; EDGE WAVES; SCHWARZIAN; MAPPINGS;

D O I：

10.1007/s00208-016-1435-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a complete solution to the problem of classifying all two-dimensional ideal fluid flows with harmonic Lagrangian labelling maps; thus, we explicitly provide all solutions, with the specified structural property, to the incompressible two-dimensional Euler equations (in Lagrangian variables).

引用

页码：1 / 16

页数：16

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