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.AP2025
Infinitely many self-similar blow-up profiles for the Keller-Segel system in dimensions 3 to 9
Van Tien Nguyen, Zhi-An Wang, Kaiqiang Zhang
Based on the method of matched asymptotic expansions and Banach fixed point theorem, we rigorously construct infinitely many self-similar blow-up profiles for the parabolic-ellipti…