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.
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页码：135 / 147
页数：13
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