A DYNAMICAL SYSTEM FOR A NONLOCAL PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY

被引：1
|
作者：
Miyasita, Tosiya
机构：
[1] 250-201 Imamichi-cho, Kyoto
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2015年 / 45卷 / 06期
关键词：
Nonlocal; Morse index; Lyapunov function; exponential attractor; squeezing property; 2-DIMENSIONAL EULER EQUATIONS; STATIONARY FLOWS; BLOW; INEQUALITY; SYMMETRY;
D O I：
10.1216/RMJ-2015-45-6-1897
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a nonlocal parabolic and the corresponding elliptic equation with exponential nonlinearity. At first, we study the set of a stationary solution and compute its Morse index. Next, we obtain the time-global solution in the use of the Lyapunov function and define the dynamical system. Finally, we construct an exponential attractor by a squeezing property.
引用
收藏
页码：1897 / 1917
页数：21
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