搜索结果: 1-15 共查到“稳定性理论”相关记录27条 . 查询时间(0.825 秒)
This article studies input design of kernel-based regularization methods for linear dynamical systems, which has been formulated as a nonconvex optimization problem with the criterion being a scalar m...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：t-stabilities and t-structures for the weighted projective line of type (2)
加权投影线 t-稳定性 t-结构
2023/11/13
We focus on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the nest t-stabilities on certain triangulate...
对于接触Hamilton-Jacobi方程H（x,Du（x）,u（x））=0，H满足Tonelli条件，讨论弱KAM解的结构以及解的Lyapunov稳定性。此外，在单位圆情形时，去掉H关于u 单调性的假设，把条件放宽到对它在一个时间周期内积分平均值的要求，研究它与解的稳定性之间的关系，不稳定时证明不同周期非平凡周期解的存在性，稳定时给出收敛速度。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：近可积哈密尔顿系统辛算法的KAM定理
近可积 哈密尔顿系统 辛算法 KAM定理
2023/11/6
本报告讨论Hamilton系统辛算法的KAM稳定性，给出辛算法应用于近可积系统时不变环面的存在性证明和数值逼近结果。具体地，近可积系统用辛算法离散化，假设系统的可积部分满足Ruessmann非退化条件，当时间步长足够小且Hamilton函数足够光滑时，离散系统存在不变环面，它们在相应空间中占据一个大测度Cantor集。进而假设系统的可积部分满足Kolmogorov非退化条件，则在Hausdorff...
从R到S的半调和映照的非退化性以及量化稳定性
半调 映照 非退化性 量化稳定性
2023/5/29
We consider half-harmonic maps from \mathbb{R} (or \mathbb{S}) to \mathbb{S}. We prove that all (finite energy) half-harmonic maps are non-degenerate. In other words, they are integrable critical poin...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability of degree-2 Rossby-Haurwitz waves
2度 罗斯比-豪维茨波 稳定性
2023/5/12
Rossby-Haurwitz waves are an important class of explicit solutions to the incompressible Euler equation on a rotating 2-sphere. We will introduce our recent work on the nonlinear stability of degree-2...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long time behavior of the Sine-Gordon equation
正弦 戈登方程 长时间行为 黎曼-希尔伯特问题
2023/4/26
We use the nonlinear steepest descent for Riemann-Hilbert problems to compute the long-time asymptotics of the solutions to the sine-Gordon equation whose initial condition belongs to some weighted So...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global stability of the Minkowski spacetime for the Einstein-Vlasov system
爱因斯坦-弗拉索夫系统 闵可夫斯基时空 全球稳定性
2023/4/21
In this talk, we discuss the global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindbla...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonlinear stability of travelling wave solution of the Navier-Stokes-Poisson system for ions with $\gamma$-law pressure
纳维-斯托克斯-泊松系统 行波解 $γ$定律压力离子 非线性稳定性
2023/4/17
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：O(2)-symmetry of 3D steady gradient solitons
O(2) 三维稳态 梯度孤子 对称性
2023/4/13
In this talk, we talk about the proof of the O(2)-symmetry of 3D steady gradient solitons. The proof consists of four parts: the asymptotic analysis at infinity, the symmetry improvement theorem, the ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：SOME PROPERTIES OF STATIONARY CONTINUOUS STATE BRANCHING PROCESSES
稳态 连续状态 分支过程 性质
2023/4/14
We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical tree of the extant po...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the stability of multi-dimensional rarefaction waves
多维 稀薄波 稳定性
2023/4/17
In his pioneering work in 1860, Riemann proposed the Riemann problem and solved it for isentropic gas in terms of shocks and rarefaction waves. It eventually became the foundation of the theory of one...
中国科学院声学研究所专利：一种基于横摇稳定策略的多波束测深方法及系统
In this paper, we consider boundary output regulation for one-dimensional reaction–diffusion equation that has disturbances entering the system from in-domain and both boundaries. The reference signal...
对于高维带粘性的标量守恒律方程和可压缩Naiver-Stokes方程，证明了平面粘性激波和疏散波在高维周期扰动下的非线性渐近稳定性。证明的关键在于如何构造合适的拟设来抵消在无穷远处持续振荡的周期扰动，从而可以建立能量估计。特别地，在激波稳定性的结果中，文章给出把扰动的零频和非零频分开估计、再结合反导数技巧的新想法，使得基本能量方法可以得到利用，同时还揭示了周期振荡对激波稳定性的影响与非振荡扰动有本...