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无穷维动力系统和偏微分方程研究所学术报告(欧耀彬教授,中国人民大学)

来源:系统管理员 发布时间:2025-05-12

报告题目:On the incompressible limit of Navier-Stokes equations

报告人欧耀彬教授,中国人民大学

报告时间:2025512日(周一)15:00

报告地点腾讯会议号:296-370-496

报告摘要:In this talk, we are concerned with the incompressible limit of Navier-Stokes equations. First, we review some results on the incompressible limit or low Mach number limit of Navier-Stokes equations. Then we study the incompressible limit of all-time strong solutions to isentropic compressible Navier-Stokes equations with ill-prepared initial data and vorticity-slip boundary conditions in  three-dimensional bounded domains. We derive the uniform estimates with respect to the Mach number and all time by establishing a nonlinear integral inequality with decay property. Then as the Mach number tends to zero, the convergence to global strong solution of incompressible Navier-Stokes equations is shown. This talk is based on the joint work with Dr. Lu Yang (IAPCM).

报告人简介:欧耀彬中国人民大学数学学院教授。主持国家自然科学基金项目多项,教育部“新世纪优秀人才支持计划”项目一项,中国博士后基金特别资助项目一项、中国博士后基金面上项目一项;参与国家自然科学基金重点项目一项、国家自然科学基金国际合作交流项目一项。在J. Math, Pure. Appl.,SIAM J. Math. Anal.,ANIHP. - Anal. non lineaire, J. Differential Equations, Z. Angew. Math. Phys.等著名国际期刊发表学术论文30多篇。

邀请人:潜陈印