Here are some figures and videos related to my research.
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A 12-fold uniformly rotating vortex patch
A 12-fold uniformly rotating vortex patch
with 90-degree Corners
with 90-degree Corners
Figures by myself in Huang-Tong-Zheng 2026
Selected level sets of the corresponding
Selected level sets of the corresponding
modified stream function
modified stream function
Steady contiguous vortex-patch dipole
Steady contiguous vortex-patch dipole
of the 2D incompressible Euler equation
of the 2D incompressible Euler equation
Figures by myself in Huang-Tong 2024
Lamb-Chaplygin dipole for comparison
Lamb-Chaplygin dipole for comparison
Potential two-scale self-similar finite-time blowup
of the 3D axisymmetric Euler equations
Potential two-scale self-similar finite-time blowup
of the 3D axisymmetric Euler equations
Figures by myself in Hou-Huang 2022
Zoom-in views of the inner scale
Zoom-in views of the inner scale
Demonstration of a one-scale self-similar blowup
Demonstration of a one-scale self-similar blowup
Figures by my student Xiuyuan Wang in Huang-Qin-Wang 2024
Demonstration of a two-scale self-similar blowup
Demonstration of a two-scale self-similar blowup
Animation of a focusing self-similar finite-time blowup of
the 3D axisymmetric incompressible Euler equations in the Hou-Luo scenario.
Animation of a focusing self-similar finite-time blowup of
the 3D axisymmetric incompressible Euler equations in the Hou-Luo scenario.
Animation by myself when I was a PhD student of Thomas Hou
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