On the existence of global attractors for one class of cascade systems

被引：0
|
作者：
Kapustyan O.V. [1 ]
机构：
[1] Shevchenko Kyiv National University, Kyiv
来源：
Ukrainian Mathematical Journal | 2004年 / 56卷 / 9期
关键词：
Differential Equation; Phase Space; Ordinary Differential Equation; Qualitative Behavior; Global Attractor;
D O I：
10.1007/s11253-005-0132-8
中图分类号：
学科分类号：
摘要：
We investigate the qualitative behavior of solutions of cascade systems without uniqueness. We prove that solutions of a reaction-diffusion system perturbed by a system of ordinary differential equations and solutions of a system of equations of a viscous incompressible liquid with passive components form families of many-valued semiprocesses for which a compact global attractor exists in the phase space. © 2005 Springer Science+Business Media, Inc.
引用
收藏
页码：1532 / 1537
页数：5
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