报告题目：The sharp decay characterization of the compressible Navier-Stokes equations in the critical Lp framework

报告简介：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 space -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 .

报告人：徐江，南京航空航天大学教授、博士生导师。2019年入选国家级青年人才计划。从事一类耗散型偏微分方程组的数学理论研究，在CMP, ARMA等国际著名期刊上发表SCI论文。获得2022年度教育部高等学校科学研究优秀成果奖(科学技术)自然科学二等奖。先后主持四项国家自然科学基金项目和参与一项国家自然科学基金重点项目。

报告时间：2023年10月10日（星期二）下午 3:00-5:00

报告地点：扬州大学数学科学学院208会议室

主办单位：扬州大学数学科学学院

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