应304am永利集团官网崔秀芳副教授和王跃循教授邀请，华侨大学数学科学学院副教授吴国春将于2023年11月11日上午举办学术报告。

报告题目:Incompressible limit of three-dimensional isentropic compressible Navier-Stokes equations with discontinuous initial data

时 间：11月11日（星期六）10：30-11: 15

地 点：理工楼518

报告摘要：We consider the global weak solutions to the Cauchy problem of isentropic compressible Navier-Stokes equations in R3 with bounded initial density that are of small energy but possibly large oscillations with non-vacuum constant state as far field. These solutions converge globally in time to a global weak solution of the inhomogeneous incompressible Navier-Stokes equations as the bulk viscosity goes to infinity. This result generalizes Danchin-Mucha's works (Adv. Math. 320: 904-925, 2017 and Comm. Pure Appl. Math. 76: 3437-3492, 2023) on the incompressible limit for strong solutions to weak solutions that have discontinuous density along surfaces. Some new techniques based on the effective viscous flux are developed in order to obtain the uniform a priori estimates.

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报告人简介

吴国春，博士，现为华侨大学数学科学学院副教授。硕博连读于厦门大学数学科学学院，曾在中国科学院数学与系统科学研究院做两年博士后。主要从事流体力学中的偏微分方程数学理论的研究，已在Math. Ann.、SIAM J. Math. Anal.、J. Lond. Math. Soc.、J. Funct. Anal.、Nonlinearity和中国科学（英文版）等国内外学术期刊发表论文40多篇，主持国家自然科学基金青年项目1项和参与国家自然科学基金面上项目2项。

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