5 papers
Improvement of Pólya's conjecture for balls and cylinders
Jingwei Guo, Changxing Miao, Weiwei Wang +1
Pólya's conjecture on the eigenvalues of the Laplacian has been one of the core problems in spectral geometry. Building upon the recent breakthrough works on Pólya's conjecture for…
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…
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 in , which involve the physcial Aharonov-Boh…