6 citations · 6 across the 9 of their papers we have counts for
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Endpoint Mapping Properties of Wave Operators for Schrödinger Operators in Dimensions
Han Cheng, Changxing Miao, Xiaohua Yao
We study endpoint mapping properties of low-energy wave operators for Schrödinger operators on , . In dimension four, we prove that a zero-energy reson…
Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schrödinger Operators
Han Cheng, Changxing Miao, Xiaohua Yao
We establish sharp endpoint mapping properties for the wave operators of two-dimensional Schrödinger operators with real-valued decaying potentials . Toge…
On Onsager-type conjecture for the Elsässer energies of the ideal MHD equations
Changxing Miao, Yao Nie, Weikui Ye
In this paper, we investigate the ideal magnetohydrodynamics (MHD) equations on tours $\TTT^d$. For , we resolve the flexible part of Onsager-type conjecture for Elsässer ener…
Non-uniqueness of weak solutions to the Navier-Stokes equations in R^3
Changxing Miao, Yao Nie, Weikui Ye
To our knowledge, the convex integration method has been widely applied to the study of non-uniqueness of solutions to the Naiver-Stokes equations in the periodic region, but there…
Sharp non-uniqueness for the Navier-Stokes equations in R^3
Changxing Miao, Yao Nie, Weikui Ye
In this paper, we prove a sharp and strong non-uniqueness for a class of weak solutions to the incompressible Navier-Stokes equations in . To be more precise, we exhibit the…
On Onsager's type conjecture for the inviscid Boussinesq equations
Changxing Miao, Yao Nie, Weikui Ye
In this paper, we investigate the Cauchy problem for the three dimensional inviscid Boussinesq system in the periodic setting. For , we show that the threshold re…
Bochner-Riesz means for critical magnetic Schrödinger operators in
Changxing Miao, Lixin Yan, Junyong Zhang
We study -boundedness of the Bochner-Riesz means for critical magnetic Schrödinger operators $\LL_{\A}$ in , which involve the {physical} Aharonov-Bohm potentia…