3 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
Uniformly Rotating Vortex Patches with 90-Degree Corners
De Huang, Jiajun Tong, Xiaopeng Zheng
For the 2-D incompressible Euler equation, we prove the existence of -fold symmetric uniformly rotating vortex patches with 90-degree corners for all . Properties of t…
Novel Self-similar Finite-time Blowups with Singular Profiles of the 1D Hou-Luo Model and the 2D Boussinesq Equations: A Numerical Investigation
Bojin Chen, De Huang, Xiangyuan Li
We present novel self-similar finite-time blowup scenarios for the 1D Hou--Luo model. We numerically demonstrate that solutions that initially satisfy certain derivative degeneracy…
Steady Contiguous Vortex-Patch Dipole Solutions of the 2D Incompressible Euler Equation
De Huang, Jiajun Tong
We rigorously construct the first steady traveling wave solutions of the 2D incompressible Euler equation that take the form of a contiguous vortex-patch dipole, which can be viewe…
Potential singularity formation of incompressible axisymmetric Euler equations with degenerate viscosity coefficients
Thomas Y. Hou, De Huang
In this paper, we present strong numerical evidences that the incompressible axisymmetric Euler equations with degenerate viscosity coefficients and smooth initial data of finite e…