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math.AP2024
Uniform Anisotropic Regularity and Low Mach Number Limit of Non-isentropic Ideal MHD Equations with a Perfectly Conducting Boundary
Qiangchang Ju, Jiawei Wang, Junyan Zhang
We prove the low Mach number limit of non-isentropic ideal magnetohydrodynamic (MHD) equations with general initial data in the half-space whose boundary satisfies the perfectly co…
math.AP2024
Low Mach Number Limit of Non-isentropic Inviscid Elastodynamics with General Initial Data
Jiawei Wang, Junyan Zhang
We prove the incompressible limit of non-isentropic inviscid elastodynamic equations with general initial data in 3D half-space. The deformation tensor is assumed to satisfy the ne…
math.AP2023
Incompressible Limit of Compressible Ideal MHD Flows inside a Perfectly Conducting Wall
Jiawei Wang, Junyan Zhang
We prove the incompressible limit of compressible ideal magnetohydrodynamic(MHD) flows in a reference domain where the magnetic field is tangential to the boundary. Unlike the case…