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一类非自治分数阶随机波动方程的随机吸引子
非自治分数阶随机波动方程 随机动力系统 随机吸引子 分解技术 加性噪声
2019/4/17
本文考虑带加性噪声的非自治分数阶随机波动方程在无界区域Rn上的渐近行为.首先将随机偏微分方程转化为随机方程，其解产生一个随机动力系统，然后运用分解技术建立该系统的渐近紧性，最后证明随机吸引子的存在性.
修正的非线性水波方程的精确行波解
修正CH方程 动力系统分支方法 奇直线
2018/9/30
利用动力系统分支方法研究修正的Camassa-Holm equation(非线性水波方程即CH方程),分析了一些特殊的相轨道,这些相轨道既过鞍点也过奇直线,并且计算出其所对应的精确行波解.
基于改进型绕射非局部边界条件的三维抛物方程分解模型预测电波传播
电波传播预测 绕射非局部边界条件 3维抛物方程
2018/5/18
绕射非局部边界条件是基于有限差分法求解抛物方程时使用的一种透明边界条件。它的最大优点是只用一层网格就能很好完成波地吸收，而缺点是由于涉及到卷积积分的计算，因此计算速度低。针对此问题，该文首先引入可以加快其计算速度的递归卷积法和矢量拟合法。这里把结合了这两种数值计算方法的绕射非局部边界条件称为改进型绕射非局部边界条件。在此基础之上，提出将这种改进型的绕射非局部边界条件应用到3维抛物方程(3DPE)分...
THE SYMPLECTIC PROPERTIES OF THE PGL(n; C)-GLUING EQUATIONS
GLUING EQUATIONS SYMPLECTIC PROPERTIES
2015/12/17
In [12] we studied PGL(n; C)-representations of a 3-manifold via a generalization of Thurston's gluing equations. Neumann has proved some symplectic properties of
Thurston's gluing equations that pla...
In [11] we parametrized boundary-unipotent representations of a 3-manifold
group into SL(n; C) using Ptolemy coordinates, which were inspired by A-coordinates on
higher Teichmuller space due to Foc...
A Posteriori Error Analysis for A Class of Integral Equations and Variational Inequalities
Integral Equations Variational Inequalities
2015/12/11
We consider elliptic and parabolic variational equations and inequalities governed by
integro-differential operators of order 2s ∈ (0,2]. Our main motivation is the pricing of European
or Amer...
AFEM for the Laplace-Beltrami Operator on Graphs: Design and Conditional Contraction Property
Laplace-Beltrami operator graphs adaptive fi nite element method
2015/12/11
We present an adaptive finite element method (AFEM) of any polynomial degree for the
Laplace-Beltrami operator on C
1
graphs Γ in R
d
(d ≥ 2). We first derive residual-type a
posteri...
Electrowetting with Contact Line Pinning: Computational Modeling and Comparisons with Experiments
equation Contact Line Pinning
2015/12/11
This work describes the modeling and simulation of planar electrowetting on dielectric (EWOD)
devices that move fluid droplets by modulating surface tension effects. The fluid dynam...
基于免疫时滞的HIV分数阶微分方程模型的稳定性分析
Caputo导数 分数阶时滞微分方程 平衡点 稳定性
2018/10/8
通过将Caputo导数和细胞免疫时滞同时引入HIV感染建模,建立了一类分数阶HIV免疫时滞微分方程模型,对其平衡点进行了稳定性分析,获得了感染免疫平衡点稳定对参数要求的充分条件.
介子自能中的交换图对高密核物质性质的影响
交换图 介子的有效质量 状态方程
2018/10/8
基于非线性平均场模型,引入介子自能中的交换图修正,得到介子在介质中的有效质量随核物质密度的变化,且影响核子在介质中的有效质量以及高密核物质的状态方程,使得高密核物质的状态方程变软.
Random Homogenization of Fractional Obstacle Problems
Random Homogenization Fractional Obstacle Problems
2015/10/15
We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem in perforated domains.
SECOND ORDER CORRECTIONS TO MEAN FIELD EVOLUTION FOR WEAKLY INTERACTING BOSONS, I
SECOND ORDER equation
2015/10/15
Inspired by the works of Rodnianski and Schlein [31]
and Wu [34, 35], we derive a new nonlinear Schr¨odinger equation
that describes a second-order correction to the usual tensor product (mean-ʂ...
EXTENSIONS OF RESPONDENT-DRIVEN SAMPLING: ANALYZING CONTINUOUS VARIABLES AND CONTROLLING FOR DIFFERENTIAL RECRUITMENT
RESPONDENT-DRIVEN SAMPLING DIFFERENTIAL RECRUITMENT
2015/9/11
Respondent-driven sampling (RDS) is a network-based method
for sampling hidden and hard-to-reach populations that has been
shown to produce asymptotically unbiased population estimates
when its ass...
Hopf bifurcation formula for first order differential-delay equations
Hopf bifurcation Differential delay equation DDE Retarded functional differential equation RFDE
2015/8/27
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The ...
Dynamics of a model of two delay-coupled relaxation oscillators
Coupled oscillators Devil’s Staircase Delay-differential equations
2015/8/27
This paper investigates the dynamics of a new model of two coupled relaxation oscilla-tors. The model replaces the usual DDE (differential-delay equation) formulation with a discrete-time approach wit...