Existence of solutions for the barotropic-vorticity equation in an unbounded domain

被引：2

作者：

Emamizadeh, B. ^{[1
]}

Bahrami, F.

机构：

[1] Inst Studies Theoret Phys & Math, Tehran, Iran

[2] Petroleum Inst, Dept Math, Abu Dhabi, U Arab Emirates

[3] Tarbiat Modares Univ, Dept Math, Tehran 14155, Iran

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2006年 / 36卷 / 01期

关键词：

rearrangements; vortices; variational problems; semilinear elliptic equation; barotropic vorticity equation;

D O I：

10.1216/rmjm/1181069492

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the two-dimensional barotropic-vorticity equation in the first quadrant, and using a rearrangement variational principle, prove it has a solution. The solution represents a steady localized topographic ideal flow. The data given are the behavior of the flow at infinity, the rearrangement class of the vorticity field and the height of the localized seamount.

引用

页码：135 / 147

页数：13

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