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math.AP2024
Low regularity solutions for the Cauchy problem of the ideal incompressible Magnetohydrodynamics equations
Huali Zhang
In Lagrangian coordinates, the local well-posedness of low regularity solutions is established for an ideal incompressible magnetohydrodynamic (MHD) system subject to a homogeneous…
math.AP2024
Strichartz estimates and low regularity solutions of 3D relativistic Euler equations
Huali Zhang
We study the low regularity well-posedness for Cauchy problem of 3D relativistic Euler equations. Firstly, we introduce a new decomposition for relativistic velocity and derive new…