中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Van Tien Nguyen (National Taiwan University)
题 目：Blowup patterns for the Keller-Segel system in dimensions 3 and 4
时 间：2023.11.14（星期二）09:00-10:00
地 点：Zoom Meeting ID: 924 888 5804 Passcode: AMSS2022
摘 要：The Keller-Segel system is known to exhibit rich dynamical behaviors including singularity formation with self-similarity structure. The talk presents recent developments in the study of blowup for this system, and provides a rigorous construction leading to one of the blowup solutions that was formally discussed by Brenner-Constantin- Kadanoff-Schenkel-Venkataramani in [Nonlinearity 1999]. All the results on blowup for Keller-Segel can be extended to NLS. The main difference is dispersive and dissipative, but the formal derivation of blowups are similar.
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