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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
平滑数据 二维布西内斯 三维欧拉方程 稳定近似 自相似爆炸
2023/4/13
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
STABLE ERGODICITY FOR PARTIALLY HYPERBOLIC ATTRACTORS WITH NEGATIVE CENTRAL EXPONENTS
PARTIALLY HYPERBOLIC STABLE ERGODICITY
2015/9/29
We establish stable ergodicity of diffeomorphisms with
partially hyperbolic attractors whose Lyapunov exponents along
the central direction are all negative with respect to invariant SRBmeasur...
A natural smooth compactiffcation of the space of elliptic curves in projective space via blowing up the space of stable maps
projective space stable maps
2015/7/14
We nd it interesting that such a natural naive approach as we will describe
actually works, and yields a desingularization with these nice properties.
In the study of the geometry of curves on surfaces, the following
question often arises: given a one-parameter family of divisors over a pointed
curve, what does the central ber look like after sta...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
u-Gibbs states physical measures partially hyperbolic dynamics minimal foliations
2011/1/20
We show that each strongly partially hyperbolic C2 diffeomorphism, with one-dimensional subbundles and C2 smooth andminimal strong-unstable foliation, is C2 close to a diffeomorphism having non-zero c...
Stability of stochastic differential equations driven by variants of stable processes
Stability of stochastic differential equations variants of stable processes
2010/12/14
In this paper we investigate two variants of stable processes, namely tempered stable sub-
ordinators and modified tempered stable process as well as their renormalization. We study
the weak converg...