110 citations · 179 across the 20 of their papers we have counts for
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Exact self-similar finite-time blowup of the Hou-Luo model with smooth profiles
De Huang, Xiang Qin, Xiuyuan Wang +1
We show that the 1D Hou-Luo model on the real line admits exact self-similar finite-time blowup solutions with smooth self-similar profiles. The existence of these profiles is esta…
Self-similar finite-time blowups with smooth profiles of the generalized Constantin-Lax-Majda model
De Huang, Xiang Qin, Xiuyuan Wang +1
We show that the -parameterized family of the generalized Constantin-Lax-Majda model, also known as the Okamoto-Sakajo-Wunsch model, admits exact self-similar finite-time blowup…
Self-similar algebraic spiral solution of 2-D incompressible Euler equations
Feng Shao, Dongyi Wei, Zhifei Zhang
In this paper, we prove the existence of self-similar algebraic spiral solutions for 2-D incompressible Euler equations for the initial vorticity of the form $|y|^{-\frac1μ}\ \math…
Geometric Properties of the 2-D Peskin Problem
Jiajun Tong, Dongyi Wei
The 2-D Peskin problem describes a 1-D closed elastic string immersed and moving in a 2-D Stokes flow that is induced by its own elastic force. The geometric shape of the string an…
Nonlinear inviscid damping for 2-D inhomogeneous incompressible Euler equations
Qi Chen, Dongyi Wei, Ping Zhang +1
We prove the asymptotic stability of shear flows close to the Couette flow for the 2-D inhomogeneous incompressible Euler equations on . More precisely…