4 papers
On the flexibility of 2D Euler steady states
Tarek M. Elgindi, Yupei Huang
We consider steady states of the incompressible Euler equation on two-dimensional domains. For non-radial analytic steady states on bounded simply connected domains, it was shown p…
A Classification Theorem for Steady Euler Flows
Tarek M. Elgindi, Yupei Huang, Ayman R. Said +1
Fix a bounded, analytic, and simply connected domain We show that all analytic steady states of the Euler equations with stream function are either ra…
Sequential Exponential Lower Bounds for the Advection-Diffusion Equation with Shear Flows
Yupei Huang, Xiaoqian Xu
In this paper, we prove that the norm of spatial mean-free solutions to the advection--diffusion equation on with shear drifts satisfies an \emph{exponential l…
Optimal H{ö}lder convergence of a class of singular steady states to the Bahouri-Chemin patch
Yupei Huang, Chilin Zhang
Singular steady states are important objects in obtaining ill-posedness results for 2D incompressible Euler equations. In \cite{elgindi2022regular}, a family of singular steady sta…