5 papers
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…
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…
Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights
Changxing Miao, Zhiwen Zhao
This paper develops a concise procedure for the study on local behavior of solutions to anisotropically weighted quasi-linear singular parabolic equations of -Laplacian type, wh…
Local behavior for solutions to anisotropic weighted quasilinear degenerate parabolic equations
Changxing Miao, Zhiwen Zhao
This paper aims to study the local behavior of solutions to a class of anisotropic weighted quasilinear degenerate parabolic equations with the weights comprising two power-type we…
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_{1},…