Speaker: 欧耀彬教授 , 中国人民大学

Inviter: 流体力学方程研究中心

Title: Incompressible and non-resistive limits of strong solutions to full compressible magnetohydrodynamic equations in bounded domains

Language: Chinese

Time & Venue: 2026.04.16 10:30-11:30 南楼N204

Abstract: We justify the incompressible and non-resistive limits of strong solutions to full compressible magnetohydrodynamic (MHD) equations in general bounded domains, assuming the ill-prepared initial data. Previous works mainly focus on single-parameter limits (e.g., low Mach number limit) or multiple-parameter limits in the domains with flat boundaries. The novelty of this article is the uniform estimates of solutions in both the Mach number ϵ ∈ (0,1] and the resistivity coefficient ν = O(ϵ^β) with β ∈ (0,2). For this purpose, we establish a new weighted energy functional to control the fast variables and slow variables separately, and handle all high-order boundary terms and nonlinear terms. A significant feature in the estimates is the derivation of the weighted H^3-estimate of the magnetic field from the approximate solution which satisfies a crucial high-order boundary condition. The methods in this article also apply to other problems of singular limits vanishing multiple physical parameters. This talk is based on the joint work with Xiaoyu Gu.