5 papers
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 $α_d=1-2…
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…
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…
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…
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…