搜索结果: 31-45 共查到“知识库 积分方程”相关记录274条 . 查询时间(3.368 秒)
On a unified formulation of completely integrable systems
integrable systems Hamiltonian dynamics linear normal forms
2011/7/7
The purpose of this article is to show that a $\mathcal{C}^1$ differential system on $\R^n$ which admits a set of $n-1$ independent $\mathcal{C}^2$ conservation laws defined on an open subset $\Omega\...
Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
2011/7/7
We study general quantum integrable Hamiltonians linear in a coupling constant and represented by finite NxN real symmetric matrices. The restriction on the coupling dependence leads to a natural noti...
Integrable deformations of Lotka-Volterra systems
Lotka-Volterra perturbations integrable systems Lie groups Poisson coalgebras Casimir functions N-dimensional
2011/7/5
The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is
revisited by showing that the quadratic Poisson structure underlying its integrability structure
is ju...
Families of integrable equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/5
We present a method to obtain families of lattice equations. Specifically we focus on two of such
families, which include 3-parameters and their members are connected through B¨acklund transformation...
研究具浓度相关黏性系数的黏性Cahn-Hilliard方程解的爆破性质. 利用能量估计方法, 在关于黏性系数的两个不同结构性条件下分别证明了初边值问题的解在有限时刻爆破和时间趋于无穷时解趋于无穷两个性质. 结果表明, 黏性系数所满足的结构性条件对于方程的解有较大影响。
一类具弱奇性核Volterra积分方程的配置法求解
弱奇性核 Volterra积分方程 配置法
2012/11/14
研究一类具弱奇性核Volterra积分方程的配置法求解. 利用压缩映射定理证明了该类方程解的存在唯一性, 构造了求解这类方程的配置算法, 并对算法进行误差分析, 数值实验结果验证了理论的正确性. 该数值方法可应用于更一般的非线性Volterra积分方程。
关于Burgers方程族的解的注记
Burgers方程族 精确解 动力学特征
2013/12/5
讨论等谱与非等谱Burgers方程族的精确解.两个方程族都可以通过Cole-Hopf变换化为线性形式,利用Wronskian方法中Wronskian元素的构造技巧给出若干不同形式的精确解,研究这些解之间的关系及动力学特征.
非线性算子方程变号解及其对Hammerstein积分方程的应用
锥 不动点指数 变号解
2012/3/23
本文利用锥理论讨论了在[WTBX]E[WTBZ]空间非线性算子方程变号解的存在性，并将抽象结果应用于Hammerstein积分方程。
Homogenizations of integro-differential equations with L{é}vy operators with asymmetric and degenerate densities
Homogenizations of integro-differential equations L{é}vy operators asymmetric degenerate densities
2011/1/21
We consider periodic homogenization problems for the L´evy operators with asymmetric L´evy densities. The formal asymptotic expansion used for the -stable (symmetric) L´evy operator...
介绍了加权弱Hardy空间的相关概念,在其原子分解的基础上,研究了Marcinkiewicz积分在弱Hardy空间的加权有界性,借助于权函数的性质及不等式估计,得到了Ω满足Lipα(0<α≤1)条件时,Marcinkiewicz积分在加权弱Hardy空间WHΩ1(Rn)上是有界的结果.
Systematic method of generating new integrable systems via inverse Miura maps
modified integrable systems Lax representation (inverse) Miura transformation
2010/12/28
We provide a new natural interpretation of the Lax representation for an integrable system; that is,
本文将正则方法与积分迭代法相结合，提出波数域正则—积分迭代法用于位场向下延拓。该迭代法以位场正则向下延拓值为迭代初值，并用正则向下延拓算子处理迭代过程中的剩余谱，使得在加快迭代收敛的同时，压制噪声谱，以提高延拓的稳定性；计算了改进迭代法的最优步长，对比分析了改进迭代法的收敛性和滤波特性，同时提出采用犔曲线准则计算正则向下延拓的正则参数，并将其扩展到波数域以提高计算速度和适应波数域迭代法。基于理论...
Celebrating Cercignani's conjecture for the Boltzmann equation
Cercignani’s conjecture spectral gap Boltzmann equation relative entropy
2010/12/9
Cercignani’s conjecture assumes a linear inequality between the entropy and entropy production functionals for Boltzmann’s nonlinear integral operator in rarefied gas dynamics. Related to the field of...