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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：Asymptotic stability of the bipolar Navier-Stokes-Poisson system with boundary
具有边界 双极 纳维-斯托克斯-泊松系统 渐近稳定性
2023/5/6
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...
Nonlinear parametric excitation of an evolutionary dynamical system
Evolutionary dynamics parametric excitation multiple scale perturbation method
2015/8/27
Nonlinear parametric excitation refers to the nonlinear analysis of a system of ordinary differential equations with periodic coefficients. In contrast to linear parametric excitation, which offers de...
The Forced van der Pol Equation II: Canards in the Reduced System
van der Pol oscillator hybrid dynamical system
2015/8/25
This is the second in a series of papers about the dynamics of the forced van der Pol oscillator
[J. Guckenheimer, K. Hoffman, and W. Weckesser, SIAM J. Appl. Dyn. Syst., 2(2 003), pp. 1–35].
The fi...
Resummed memory kernels in generalized system-bath master equations
Langevin equation Perturbation theory Molecular dynamicsPopulation dynamics Matrix equations
2014/8/21
Generalized master equations provide a concise formalism for studying reduced population dynamics. Usually, these master equations require a perturbative expansion of the memory kernels governing the ...
Existence of Periodic Solution on a Class of Discrete Difference System
Discrete systems periodic solution trigonometrical series contraction mapping principle
2011/10/14
Using trigonometrical series theory and contraction mapping principle, This paper study two Discrete difference systems, sufficient and necessary conditions on the existence of periodic solutions for ...
Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
Momentum Regularity Stability Relativistic Vlasov-Maxwell-Boltzmann System
2011/1/18
In the study of solutions to the relativistic Boltzmann equation,their regularity with respect to the momentum variables has been an outstanding question, even local in time, due to the initially unex...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2010/12/28
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
A discontinuous Galerkin method for the Vlasov-Poisson system
Discontinuous Galerkin method Vlasov-Poisson system
2010/12/15
A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, in th...
Well-Posedness and Stability of the Periodic Nonlinear Waves Interactions for the Nenney System
Benney system Well-Posedness Stability of periodic traveling waves
2010/11/30
We establish local well-posedness results in weak periodic function spaces for the Cauchy problem of the Benney system. The Sobolev space H1/2 ×L2 is the lowest regularity attained and also we cover t...
Stability of solitary waves of a generalized two-component Camassa-Holm system
Stability of solitary waves generalized two-component Camassa-Holm system
2010/12/6
We study here the existence of solitary wave solutions of a generalized twocomponent Camassa-Holm system. In addition to those smooth solitary-wave solutions,we show that there are solitary waves with...
On the nonexistence of limit cycle for a type of plane differential system
differential systems singular points limit cycles}nonexistence
2009/10/29
Through studying the singular points of the plane differential systems，the sufficientconditions of the nonexistence of Iimit cycle for the system are obtained by means of comparing theorem ，analyzing ...
A relationship between conditional g-evaluation system and generator $g$
backward stochastic differential equation $g$-evaluation $g$-expectation generator converse comparison theorem
2007/12/10
In this paper, under the most elementary conditions on a backward stochastic differential equation (BSDE for short) introduced by Peng, a new relationship between the conditional $g$-evaluation system...