2 papers
math.AP2025
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}\ \mat…
math.AG2024
Bigness of tangent bundles and dynamical rigidity of Fano manifolds of Picard number 1 (with an appendix by Jie Liu)
Feng Shao, Guolei Zhong
Let be a surjective morphism of Fano manifolds of Picard number 1 whose VMRTs at a general point are not dual defective. Suppose that the tangent bundle is b…