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math.AP2025
Non-convergence of the principal eigenvalue of elliptic operators for large advection
Xueli Bai, Zhi-An Wang, Xin Xu +2
This paper investigates the limit of the principal eigenvalue as for the following elliptic equation \begin{align*} -ÎÏ(x)-2s\mathbf{v}\cdot\nablaÏ(x)+c(x)…
math.AP2024
Global regularity of 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation
Baoquan Yuan, Xinyuan Xu, Changhao Li
In this paper, we study the global regularity problem for the 2D Rayleigh-Bénard equations with logarithmic supercritical dissipation. By exploiting a combined quantity of the sys…