報(bào)告人： 李揚(yáng)榮 西南大學(xué) 教授

報(bào)告時(shí)間: 04月11日（周五）下午 03: 30-04: 20

報(bào)告地點(diǎn)：X30456

摘要：In this talk, we focus on the continuity-set of pullback random attractors from a parametric space into the space of all compact subsets of the state space with Hausdorff metric. We find a general theorem that the continuity set is an IOD-type ( countable Intersection of Open Dense sets) with the local similarity and we further show that any IOD-type set in the parametric space has the continuous cardinality, which affirmatively answers the unsolved question about the cardinality of the continuity set of attractors in the literature. Applying to the random nonautonomous nonlocal parabolic equations on an unbounded domain driven by colored noise, we establish the existence and IOD-type continuity of pullback random attractors in time, sample-translation and noise-size. This is a joint work with T. Caraballo and F. Wang.

個(gè)人簡介：李揚(yáng)榮，西南大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院教授，博導(dǎo)。96年博士畢業(yè)于南京大學(xué)，05年于北京應(yīng)用物理與計(jì)算數(shù)學(xué)研究所作博士后?，F(xiàn)任中國數(shù)學(xué)會(huì)常務(wù)理事，重慶數(shù)學(xué)會(huì)副理事長。主要研究隨機(jī)或確定的無窮維動(dòng)力系統(tǒng)，在Math ann, Siam NUM, J Diff Equ, Physica D, Siam JADS,等期刊上發(fā)表論文100余篇。先后主持國家自然科學(xué)基金面上項(xiàng)目3項(xiàng)，參研教育部重點(diǎn)項(xiàng)目一項(xiàng)。曾獲重慶市自然科學(xué)二等獎(jiǎng), 三等獎(jiǎng)及重慶市優(yōu)教成果二等獎(jiǎng)各一次。

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