3 papers
math.AP2026
Regularity of solution maps of the generalized surface quasi-geostrophic equations
Gerard Misiołek, Xuan-Truong Vu, Tsuyoshi Yoneda
We study regularity properties of the data-to-solution maps of the family of generalized surface quasi-geostrophic equations which includes both the 2D incompressible Euler and the…
math.AP2024
Instability of Data-to-Solution Map for the Log-Regularized 2D Euler System
Xuan-Truong Vu
In this paper, we study the logarithmically regularized D Euler system \eqref{e1}, which is derived by regularizing the Euler equation for the vorticity. We establish local well…
math.PR2023
Almost sure behavior of the zeros of iterated derivatives of random polynomials
Marcus Michelen, Xuan-Truong Vu
Let be independent and identically distributed complex random variables with common distribution and set Recentl…