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发表时间:2018-10-17 阅读次数:289次
报告题目: Global Stability of Keller-Segel Systems in Critical Lebesgue Spaces
报 告 人:江杰
报告人所在单位:中国科学院武汉物理与数学研究所
报告日期:2018-10-17 星期三
报告时间:10:00-11:00
报告地点:光华东主楼1704
  
报告摘要:

In this talk, we present some recent results on global stability for classical Keller-Segel system of chemotaxis. We will first talk about some related results for the Keller-Segel model, including global boundedness and blow-up results. Then we discuss the stability problem of Keller-Segel equation near spatially homogeneous steady solutions which is an open problem proposed in a recent survey by N. Bellomo et al. By establishing certain delicate L^p-L^q decay estimates for the associated linearized semigroup, we give a partially affirmative answer to the problem. More importantly, our results indicate that nontrivial globally bounded classical solution exists with any given Large total mass provided the domain is sufficiently large. This is the first evidence with rigorous proof for the existence of nontrivial global classical solution with large total mass.

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本年度学院报告总序号:224

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