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：徐江 教授（南京航空航天大学）
题 目：The sharp decay characterization of the compressible Navier-Stokes equations in the critical framework
时 间：2023.11.16（星期四）10:00-11:00
地 点：腾讯会议：848-152-431
摘 要：The low-frequency assumption has been extensively applied to the large-time asymptotics of solutions to the compressible Navier-Stokes equations and incompressible Navier-Stokes equations since from those classical efforts. In this talk, we will give a sharp decay characterization for the compressible Navier-Stokes equations in the critical framework. Precisely, the Besov boundedness of the low-frequency part of initial perturbation is not only sufficient but also necessary to achieve those upper bounds of time-decay estimates. Furthermore, it is shown that upper and lower bounds of time-decay estimates both hold if and only if the low-frequency part of the initial perturbation belongs to a nontrivial subset of Besov space.
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报告人：明梅 教授（云南大学）
题 目：A priori estimate for the water waves in a corner domain
时 间：2023.11.17（星期五）14:00-15:00
地 点：腾讯会议：404-309-999
摘 要：We prove a weighted a priori energy estimate for water waves in a two-dimensional corner domain without the influence of gravity. The domain is straightened by a conformal mapping and the problem is re-considered in a flat strip with some natural weighted norms.
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