Exponential attractor for an adsorbate-induced phase transition model in non smooth domain

Exponential attractor for an adsorbate-induced phase transition model in non smooth domain
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DOI:
10.18910/8871
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发表时间:
2006-03
影响因子:
0.4
通讯作者:
Y. Takei;M. Efendiev;T. Tsujikawa;A. Yagi
Y. Takei;M. Efendiev;T. Tsujikawa;A. Yagi
中科院分区:
数学4区
文献类型:
--
作者:
Y. Takei;M. Efendiev;T. Tsujikawa;A. Yagi

文献摘要

相似文献

我们改进了Tsujikawa和Ya gi [10]中的结果。利用相应的非线性半群的紧光滑性质,构造了与文献[10]中相同的吸附剂诱导相变模型在凸区域上的相似指数吸引子.在文献[10]中,为了保证半群的压缩性,我们假定区域具有C3正则性。
We improve our preceding result obtained in Tsujikawa and Ya gi [10]. We construct the similar exponential attractors to the same adsor bate-induced phase transition model as in [10] but in a convex domain by using the compac t smoothing property of corresponding nonlinear semigroup. In [10], the dom ain has been assumed to haveC3 regularity to ensure the squeezing property of semigroup.