学术报告报告题目：Sharp decay characterization for the compressible Navier-Stokes equations
报 告 人：徐江 教授（南京航空航天大学）
报告时间：2024年12月22日（星期日）下午14:40~15:20
报告地点：四号楼4135室
邀 请 人：李用声 教授
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数学学院
2024年12月13日
报告题目：Sharp decay characterization for the compressible Navier-Stokes equations
报告摘要：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 some Besov space. This is a joint work with Brandolese, Shou and Zhang.
徐江，南京航空航天大学教授、博士生导师。现担任数学学院副院长，江苏省工业与应用数学学会副理事长和江苏省数学学会副理事长。主要从事流体力学偏微分方程的数学理论研究。在Adv. Math., Arch. Rational Mech. Anal., Comm. Math. Phys.等国内外著名期刊上发表70余篇SCI论文。2019年入选国家高层次青年人才。2023年获得教育部高等学校科学研究优秀成果奖（科学技术）二等奖。曾担任日本九州大学访问教授和早稻田大学公派高级研究学者。