Some properties for the solutions of a general activator-inhibitor model
Some properties for the solutions of a general activator-inhibitor model
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DOI：
10.3934/cpaa.2006.5.919
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发表时间：
2006-09
影响因子：
1
通讯作者：
Shaohua Chen
中科院分区：
文献类型：
--
作者：
Shaohua Chen
本文讨论了最初在生物模式形成研究中出现的具有有趣而富有挑战性的数学性质的广义激活-抑制模型。我们研究了解的长时间存在性以及某些特殊情况下解的有界性和爆破性。我们还获得了先验估计的固定的解决方案，其次是一些数值解与移动网格方法。
This paper deals with the generalized Activator-Inhibitor model which originally arose in studies of pattern-formation in biology and has interesting and challenging mathematical properties. We study the long time existence of solutions as well as the boundedness and blowup properties for some special cases. We also obtain a priori estimates of stationary solutions followed by some numerical solutions with moving mesh methods.