2 papers
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
Exact blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions
Xueli Bai, Maolin Zhou
In this paper, we obtain the exact blow-up profiles of solutions of the Keller-Segel-Patlak system in the space with dimensions , which solves an open problem proposed by P…