1 citations · 3 across the 8 of their papers we have counts for
9 papers
A Decomposition-Based Data-Driven Branch-and-Bound Approach for Black-Box Global Optimization
Damilola Fasiku, Wentao Tang
Many scientific and engineering applications require the global optimization of expensive black-box functions. In high-dimensional settings, however, achieving computational scalab…
Flexibility and rigidity of steady states of the two-dimensional Euler equations in an infinite channel
Yupei Huang, Chunjing Xie, Chilin Zhang
We study steady solutions to the two-dimensional incompressible Euler equations in an infinite channel, whose far-field limits are uniformly non-stagnant shear flows. In the smooth…
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…
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…
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 radi…
On the rigidity of uniformly rotating vortex patch near the Rankine vortex
Yupei Huang
In this paper, we study the uniformly rotating vortex patch solutions for the 2D incompressible Euler equations. Specifically, we prove that if the patch solution is close to the R…
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…
Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch
Tarek M. Elgindi, Yupei Huang
We consider steady states of the two-dimensional incompressible Euler equations in and construct smooth and singular steady states around a particular singular stead…
Formation of singularity for the rotating shallow water system
Yupei Huang, Chunjing Xie
In this paper, we investigate the formation of singularity for general two dimensional and radially symmetric solutions for rotating shallow water system from different aspects. Fi…