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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…