Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system
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DOI：
10.2969/jmsj/1160745820
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发表时间：
2005
影响因子：
0.7
通讯作者：
M. Efendiev;A. Yagi
中科院分区：
文献类型：
--
作者：
M. Efendiev;A. Yagi
研究了指数吸引子参数的依赖性。众所周知，指数吸引子即使存在，也不是唯一地由耗散动力系统决定的。但本文证明了在动力系统中可以构造连续依赖于某一参数的指数吸引子。这一结果随后被应用于趋化生长系统。
We study dependence on a parameter of exponential attractors. As known, exponetial attractors are not uniquely determined from a dissipative dynamical system even if they exist. But we prove in this paper that one can construct an exponential attractor which depends continuously on a parameter in the dynamical system. This result is then applied to the chemotaxis-growth system.