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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometry of the Ricci flow singularity models
利玛窦流 奇点模型 几何形状
2023/4/25
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Inviscid model, singularity explicit solutions 2D Boussinesq equations
2014/4/3
We give an example of a well posed, nite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce nite time sing...
Normal del Pezzo surfaces containing a nonrational singularity
Normal del Pezzo surfaces nonrational singularity
2010/10/29
Working over a perfect field, I classify normal del Pezzo surfaces with base number one that contain a nonrational singularity. They form a huge infinite hierarchy; contractions of ruled surfaces lie ...