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math.AP2024
Three dimensional stationary solutions of the Electron MHD equations
Qirui Peng
The goal of this paper is to construct non-trivial steady-state weak solutions of the three dimensional Electron Magnetohydrodynamics equations in the class of f…
math.AP2024
An optimal upper bound on the determining wavenumber for 3D Navier-Stokes Equations
Alexey Cheskidov, Qirui Peng
We introduce a determining wavenumber for weak solutions of 3D Navier-Stokes equations whose time average is bounded by Kolmogorov dissipation wavenumber over the whole range of in…
gr-qc2024
General Relativistic Approach to the Vis-viva Equation on Schwarzschild Metric
Qi Peng, Shuichiro Yokoyama, Kiyotomo Ichiki
A modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions of orbital motion and precession. The up…