4 papers
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…
Low Regularity Well-Posedness of Cauchy Problem for Two-Dimensional Relativistic Euler Equation
Huali Zhang
In this article, we initiate the study of the Cauchy problem for the two-dimensional relativistic Euler equations in a low-regularity setting. By introducing good variables--a resc…
Improved Local Well-Posedness in Sobolev Spaces for Two-Dimensional Compressible Euler Equations
Huali Zhang
We establish the local existence and uniqueness of solutions to the two-dimensional compressible Euler equations with initial velocity $\bv_0$, logarithmic density , and spec…
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…