3 papers
math.AP2026
Nonuniqueness for high-dimensional ideal MHD equations via differential inclusion
Changxing Miao, Zhiwen Zhao
In this paper, we establish the non-uniqueness of solutions to the ideal magnetohydrodynamics equations in any dimension greater than three by proving the existence of infinitely m…
math.AP2025
Nonuniqueness analysis on the Navier-Stokes equation in space
Changxing Miao, Zhiwen Zhao
In the presence of any prescribed kinetic energy, we implement the intermittent convex integration scheme with -normalized intermittent jets to give a direct proof for the e…
math.AP2024
On a class of anisotropic Muckenhoupt weights and their applications to -Laplace equations
Changxing Miao, Zhiwen Zhao
In this paper, a class of anisotropic weights having the form of in dimensions is considered, where and $x'=(x_{…