6 citations · 6 across the 9 of their papers we have counts for
9 papers
Flexible exponent of geometric 3-manifolds and Legendrian maps of Seifert spaces
Jianru Duan, Jianfeng Lin, Shicheng Wang +2
A classical question in quantitative topology is to bound the mapping degree in terms of its Lipchitz constant . For a closed, orient…
Self-similar blow-up solutions of -dimensional incompressible Euler equations with velocity
Feng Shao, Dongyi Wei, Ping Zhang +1
We investigate self-similar blow-up solutions to the -dimensional axisymmetric incompressible Euler equations without swirl for . For any with …
The Immersed Boundary Problem in 2-D: the Navier-Stokes Case
Jiajun Tong, Dongyi Wei
We study the immersed boundary problem in 2-D. It models a 1-D elastic closed string immersed and moving in a fluid that fills the entire plane, where the fluid motion is governed…
Fisher-Rao Gradient Flow: Geodesic Convexity and Functional Inequalities
José A. Carrillo, Yifan Chen, Daniel Zhengyu Huang +2
The dynamics of probability density functions have been extensively studied in computational science and engineering to understand physical phenomena and facilitate algorithmic des…
Asymptotic decay for the Chern-Simons-Higgs equations
Dongyi Wei, Shiwu Yang
In this paper, we study the long time asymptotic behaviors for solutions to the Chern-Simons-Higgs equation with a pure power defocusing nonlinearity. We obtain quantitative invers…
Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes
He Mei, Dongyi Wei, Shiwu Yang
In this paper, we study the long time dynamics of solutions to the defocusing semilinear wave equation on the Schwarzschild black hole spacetimes. For $\frac{1…
The Maxwell-Klein-Gordon equation with scattering data
Wei Dai, He Mei, Dongyi Wei +1
It has been shown in [Yang-Yu 2019] that general large solutions to the Cauchy problem for the Maxwell-Klein-Gordon system (MKG) in the Minkowski space decay lik…
On the global dynamics of Yang-Mills-Higgs equations
Dongyi Wei, Shiwu Yang, Pin Yu
We study solutions to the Yang-Mills-Higgs equations on the maximal Cauchy development of the data given on a ball of radius in . The energy of the data could be…
A sufficient condition for a hypersurface to be isoparametric
Zizhou Tang, Dongyi Wei, Wenjiao Yan
Let be a closed Riemannian manifold on which the integral of the scalar curvature is nonnegative. Suppose is a symmetric tensor field whose dual $(1,1)…