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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
Landau–Lifshitz–Gilbert 二维 有限时间 奇点形成
2023/4/19
Landau-Lifshitz-Gilbert equation (LLG) describes magnetization of ferromagnets. In this paper, we consider the singularity formation of LLG from R^2 to S^2. For any prescribed N distinct points q^{j} ...
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...
三亚国际数学论坛：International Conference on Singularity Theory and Dynamical Systems
三亚国际数学论坛 International Conference Singularity Theory and Dynamical Systems
2017/7/3
The aim of the symposium is to bring together specialists of various do- mains of singularity theory and mathematical foundation of complex systems representing very classical aspects of the Fields. W...
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...
On a Newton filtration for functions on a curve singularity
Newton filtration functions curve singularity Algebraic Geometry
2012/6/9
In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the di...
Singularity-driven Second and Third Harmonic Generation in a ε-near-zero nanolayer
Singularity-driven Harmonic Generation ε-near-zero nanolayer
2011/8/4
Abstract: We show a new path to {\epsilon}~0 materials without resorting to metal-based metamaterial composites. A medium that can be modeled using Lorentz oscillators usually displays {\epsilon}=0 cr...
Derivation of Invariant Varieties of Periodic Points from Singularity Confinement
integrable maps singularity confinement invariant variety of periodic points
2011/8/31
Abstract: It was shown, in our previous works, that periodic points of $d$ dimensional rational integrable maps form varieties if the number of invariants $p$ is greater than $d/2$. In the case of 3 d...
On some curve singularity invariants and reductions
adeles motivic integration reduction of algebraic curves zeta functions
2011/8/24
Abstract: This paper deals with the study of the behaviour of the value semigroup of a curve singularity define over a global field reduced modulo a maximal ideal. We also define a global zeta functio...
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann Hilbert matrix orthogonal polynomials discrete matrix equations singularity confinement
2011/7/6
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the corresponding...
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann--Hilbert problems matrix orthogonal polynomials discrete matrix equations singularity confinement
2011/7/27
Abstract: In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the cor...
Singularity invariants related to Milnor fibers: survey
Singularity invariants Milnor fibers survey
2011/1/21
This brief survey of some singularity invariants related to Milnor fibers should serve as a quick guide to references. We attempt to place things into a wide geometric context while leaving technicali...
A homology plane of general type can have at most a cyclic quotient singularity
Homology plane of general type BMY inequality Zariski-Fujita decomposition
2011/2/22
We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist [MS, Theorem 3.1]. We
also show that ...
Log del Pezzo Surfaces of Rank 2 and Cartier Index 3 with a Unique Singularity
Log del Pezzo surfaces Quotient singularities
2011/1/18
Log del Pezzo surfaces play the role of the opposite of surfaces of general type. We will completely classify all the log del Pezzo surfaces of rank 2 and Cartier index 3 with a unique singularity.
Singularity of Random Matrices over Finite Fields
Singularity of Random Matrices Finite Fields
2011/1/20
Let A be an n×n random matrix with iid entries over a finite field of order q. Suppose that the entries do not take values in any additive coset of the field with probability greater than 1 − ...
Goursat systems of R^n satisfying in each dimension a singularity of order two
Non holonomic distribution normal forms
2010/9/27
In this article we study the 2-distributions in Rn satisfying everywhere the Goursat condition. We give the normal form at a neighborhood of a point where the small growth vector has a singularity of ...