报告题目：Zero Mach Number Limit for Global Smooth Solutions to the Non-isentropic Slightly Compressible Navier-Stokes System with Dirichlet Boundary Conditions

报 告 人：李自来副教授（河南理工大学）

报告时间：2025年12月26日（周五）10:30-11:30

报告地点：华体会最新登入首页龙洞校区行政楼610报告厅

报告摘要：In this talk, I will review the main results of singular limits of the compressible ideal MHD equations including the low Mach number limit, small Alfven number limit and the three-scale singular limit . In particular, I will introduce the recent work on the low Mach number limit for the compressible ideal MHD equations in the domain with physical boundary conditions.We investigate all-time existence of smooth solutions for the non-isentropic slightly compressible Navier-Stokes equations with Dirichlet boundary conditions in 2D exterior domains. By virtue of the decay property of smooth solutions to the limiting system, we establish all time existence of strong solutions for the corresponding compressible system, provided that the Mach number is sufficiently small. Additionally, as the Mach number approaches zero, solutions of the compressible system uniformly converge to that of the incompressible system for all time. In particular, to derive higher-order estimates of density function near the boundary, we utilize the global geometric tools developed by Christodoulou and Lindblad [Commun. Pure Appl. Math. 53 (2000) 1536-1602].

报告人简介：李自来，河南理工大学副教授，硕士生导师。主要研究偏微分方程中的流体力学方程，目前已在国内外著名学术刊物上发表SCI论文20余篇，其中包括《Pacific J. Math.》《J. Differential Equations》《J. Math. Fluid Mech.》《Stud. Appl. Math.》《Science China-Mthematics》等SCI数学期刊上。曾主持国家自然科学基金青年基金1项，国家自然科学基金天元项目1项，中国博士后面上项目1项等。