k-耦合形式的Brezis-Lieb引理

作为Brezis-Lieb引理(单变量)的推广,本文证明了 k -耦合形式仍然满足类似的定理。令Ω是 R^N 上的一个开子集,且{u ni }■L^ p i (Ω),其中 N≥2 , 2≤p i<∞, i=1,2…k , k≥2 。如果{u ni }在 L p i (Ω)上有界且几乎处处收敛到 u i ,则有lim n→∞[∫Ω∑^ k i,j=1 u^ p i/ 2 ni u ^pj 2 nj d x-∫Ω∑^k i,j=1 (u ni -u i) pi/ 2 (u nj -u j) pj/2 d x]=∫Ω∑^k i,j=1 u pi/2 iu ^pj/2 j dx该结论在处理k-耦合方程组方面有应用。

人工智能与高质量就业——基于耦合视角的分析

本文通过引入耦合概念,基于技术发展过程,从耦合关系判定、耦合过程阐释、耦合阶段划分等维度分析人工智能与高质量就业的关系。研究结果表明:人工智能与高质量就业不仅存在彼此影响、相互依赖的动态关联,还存在静态、单向视角下的技术破坏和创造效应,形成适应于高质量协同理念的新体系。具体地,本文重点考察人工智能与高质量就业的耦合效应,揭示链条耦合、闭环耦合、跨层耦合、远程耦合等耦合形式,分析系统性、协同性、开放性、演化性等耦合特征,并以耦合协调程度作为判断依据,划分两者的耦合协调发展阶段。

压缩空气储能技术及其耦合发电机组研究进展

压缩空气储能技术是利用压气机-燃气轮机装置,实现空气势能与热能之间转化的储能技术。由于压缩空气储能技术具有跨时空调节“源-荷”匹配性的优势,在高比例间歇性可再生能源发电并网的背景下更为重要。从储能系统有无热源、绝热、储热3个方面进行了评述;压缩空气储能工作形式主要包括无热源的非绝热空气压缩储能、带热源的非绝热压缩空气储能、带储热的空气绝热压缩储能系统。从多能源耦合的角度,分别介绍了压缩空气储能与燃气轮机、内燃机和可再生能源系统的耦合形式。最后从多种压缩空气储能形式与耦合火电机组应用现状方面进行了分析,并对比了传统压缩空气储能、绝热压缩空气储能、等温压缩空气储能、蓄热式压缩空气储能等技术的储能规模、优缺点等,为压缩空气储能的应用提供了借鉴。

燃气锅炉与空气源热泵高效耦合供暖系统的设计

燃气锅炉与空气源热泵耦合供暖系统是现阶段实现“双碳”目标的可行和可靠技术路径之一。通过分析耦合供暖系统在节能、节碳、舒适等方面的表现,探讨实现高效供热耦合供暖系统的选型策略、耦合方式、控制逻辑。结果显示空气源热泵能耗方面有优势,但投资强度大,其运行费用、碳排放量在不同条件下相比燃气锅炉各有优劣,故耦合系统的选型应在全生命周期成本测算后,选择经济合理的配置方案;耦合系统的设计应充分考虑系统与两个热源的流量要求,推荐采用二级泵形式耦合供暖;耦合系统的运行逻辑应选择费用、能耗、碳排放量表现更好的热源优先运行,并保证供暖的舒适度及稳定性。在实际项目应用中,上述三个方面的设计要点可帮助实现耦合供暖系统的高效供热。

基于DEVS的多分辨率建模形式化描述规范研究(英文)

随着分布交互式仿真技术的发展,多分辨率建模成为建模与仿真的关键技术之一。提出了一种多分辨率模型系的概念,并分析了多分辨率模型系的重要性质。多分辨率模型系描述了同一实体的不同分辨率模型之间关系。在多分辨率模型系和DEVS描述理论的基础上提出了一种多分辨率模型系统的形式化描述规范MRMS,证明了该规范的重要性质,尤其是它的耦合封闭性。在MRMS的基础上,可以进一步深入开展多分辨率建模的理论和实现研究。

人类脑神经元电偶极子模拟方法的研究

目的:通过对脑神经元电偶极子模拟方法的研究探索脑神经的空间耦合形式及相邻脑神经元的电磁耦合与人类大脑活动的关系。方法:本文对脑神经电偶极子的形成物理学原理进行了深入的探讨,创建了脑神经垂直电偶极子数理模型,用实验的方法对偶极子进行了模拟同时采用MATLAB对该模型进行了偶极子电势分布与耦合的仿真实验。结果与结论:仿真实验的结果与实际电偶极子的电势分布的理论相吻合。该数理模型对于研究脑神经在人脑外部空间的电势分布和耦合形式、研究EEG、ERP及ECoG有一定的应用价值,同时通过对大脑皮层的电势分布与耦合的表现可以对大脑的物理形态进行研究。

Anomalous Hall Effect in Spin-Polarized Two-Dimensional Hole Gas with Cubic-Rashbsa Spin-Orbit Interaction

Based on the Kubo formalism, the anomalous Hall effect in a magnetic two-dimensional hole gas with cubic-Rashba spin-orbit coupling is studied in the presence of δ-function scattering potential. When the weak, shortranged disorder scattering is considered in the Born approximation, we find that the self-energy becomes diagonal in the helicity basis and its value is independent of the wave number, and the vertex correction to the anomalous Hall conductivity due to impurity scattering vanishes when both subbands are occupied. That is to say, the anomalous Hall effect is not vanishing or influenced by the vertex correction for two-dimensional heavy-hole system, which is in sharp contrast to the case of linear-Rashba spin-orbit coupling in the electron band when the short-range disorder scattering is considered and the extrinsic mechanism as well as the effect of external electric field on the SO interaction are ignored.

Superlattice Patterns in Coupled Turing Systems

In this paper, superlattice patterns have been investigated by using a two linearly coupled Brusselator model. It is found that superlattice patterns can only be induced in the sub-system with the short wavelength. Three different coupling methods have been used in order to investigate the mode interaction between the two Turing modes. It is proved in the simulations that interaction between activators in the two sub-systems leads to spontaneous formation of black eye pattern and/or white eye patterns while interaction between inhibitors leads to spontaneous formation of super-hexagonal pattern. It is also demonstrated that the same symmetries of the two modes and suitable wavelength ratio of the two modes should also be satisfied to form superlattice patterns.

Convex Variational Formulation with Smooth Coupling for Multicomponent Signal Decomposition and Recovery

A convex variational formulation is proposed to solve multicomponent signal processing problems in Hilbert spaces.The cost function consists of a separable term, in which each component is modeled through its own potential,and of a coupling term, in which constraints on linear transformations of the components are penalized with smooth functionals.An algorithm with guaranteed weak convergence to a solution to the problem is provided.Various multicomponent signal decomposition and recovery applications are discussed.

A Coupled Hybrid Lattice: Its Related Continuous Equation and Symmetries

The hybrid lattice, known as a discrete Korteweg-de Vries (KdV) equation, is found to be a discrete modified Korteweg-de Vries (mKdV) equation in this paper. The coupled hybrid lattice, which is pointed to be a discrete coupled KdV system, is also found to be discrete form of a coupled mKdV systems. Delayed differential reduction system and pure difference systems are derived from the coupled hybrid system by means of the symmetry reduction approach. Cnoidal wave, positon and negaton solutions for the coupled hybrid system are proposed.

Higher-Dimensional Lie Algebra and New Integrable Coupling of Discrete KdV Equation

Based on semi-direct sums of Lie subalgebra G, a higher-dimensional 6 × 6 matrix Lie algebra sμ（6） is constructed. A hierarchy of integrable coupling KdV equation with three potentials is proposed, which is derived from a new discrete six-by-six matrix spectral problem. Moreover, the Hamiltonian forms is deduced for lattice equation in the resulting hierarchy by means of the discrete variational identity -- a generalized trace identity. A strong symmetry operator of the resulting hierarchy is given. Finally, we prove that the hierarchy of the resulting Hamiltonian equations is Liouville integrable discrete Hamiltonian systems.

Conservation Laws and Analytic Soliton Solutions for Coupled Integrable Dispersionless Equations with Symbolic Computation

Under investigation in this paper are two coupled integrable dispersionless (CID) equations modelingthe dynamics of the current-fed string within an external magnetic field.Through a set of the dependent variabletransformations, the bilinear forms for the CID equations are derived.Based on the Hirota method and symboliccomputation, the analytic N-soliton solutions are presented.Infinitely many conservation laws for the CID equationsare given through the known spectral problem.Propagation characteristics and interaction behaviors of the solitons areanalyzed graphically.

Coupling dimensions of human resource archetypes and organizational learning modes

In order to provide channels of human resource management in promoting organizational learning,structural equation models were used for identifying the differences in the coupling dimensions between human resource archetypes and organizational learning modes based on sample data of 219 manufacturing firms with more than 100 employees.It is found that the coupling of the cooperative human resource archetype and exploitative learning is reflected in the mechanistic structure dimension;the coupling of the cooperative human resource archetype and exploratory learning is reflected in the two dimensions of the mechanistic structure and specialist cognition;the coupling of the entrepreneurial human resource archetype and exploitative learning is reflected in the two dimensions of generalist cognition and cognitive trust;the coupling of the entrepreneurial human resource archetype and exploratory learning is reflected in the dimension of generalist cognition.When manufacturing firms pursue exploitative learning,it is suggested that they pay attention to the structure dimension management of the collaborative human resource archetype and the cognition and affect dimensions management of the entrepreneurial human resource archetype.When manufacturing firms pursue exploratory learning,it is suggested pay attention to the structure and cognition dimensions management of the collaborative human resource archetype and the cognition dimension management of the entrepreneurial human resource archetype.

Analysis on conducted coupling of electrical fast transient burst in mines

Under the inflammable or explosive environment, the direct measurement methods by opening up the explo- sion-proof shell of electrical installations were not adopted. So, it＇s impossible to have a quantitative analysis on the limit of conducted disturbance for electrical fast transient burst （EFT/B） in such dangerous environments. Transient conducted coupling model, which using EFT/B as its excitation source, can be built based on circuit and electromagnetic field theory. Furthermore, numerical analysis was performed. The results indicate that the capacitive coupling voltage is the same polarity as EFT/B, and is the main disturbance form of conducted coupling in mines. The inductive coupling voltage is reversed polarity with the ca- pacitive coupling voltage, and both peaks appear only in the rising time of EFT/B, which increase with the rising of load resistance. Moreover, the cable coupling voltage on the side of disturbance source is higher than the one on the other side in tunnel. To reduce the common resistance can suppress the resistive coupling disturbance.

层状地基中浅埋隧道的地震反应分析

本文从土与结构相互作用的观点出发,利用耦合模型研究地下结构在地震作用下的反应.这种耦合模型比较好地解决了半无限边界问题、土体的非线性以及土与混凝土接触的问题.通过对某双洞口矩形截面地下隧道的地震分析,研究结构各部位的位移以及动应力的分布,为地下隧道的抗震设计提供参考意见.

Networks, Topology and Interaction Principle Implemented in the Kron＇s Method

This paper present electrical networks, with topological modelisations, generalized cross talked functions implemented in a Kron＇s formalism; Coupling functions are called chords and give a powerful extension to the method. Applied in electromagnetic compatibility, it has proven its efficiency in time computation and accuracy. The paper review the Kron＇s formalism, a mathematical modelisation of currents by tensorial analysis and topologie, the string principles, and an application, at the end, we propose power-chopper modeling.

Study on coupled vibration characteristics of a cylindrical container with multiple elastic annular baffles

The coupled vibration characteristics of multiple elastic annular baffles of the same inner radius in a partially liquid-filled rigid cylindrical container were studied. The liquid domain was divided into several simple sub-domains so that the liquid velocity potential in each liquid sub-domain was of class C 1 with continuous boundary conditions. Based on the superposition principle, the general solution of the liquid velocity potential corresponding to each liquid sub-domain was obtained by means of the method of separation of variables. The coupled modes of the multiple elastic annular baffles were expressed in terms of dry-modal functions. The free surface condition, the interface conditions and coupled vibration conditions were expressed in terms of Fourier series along the liquid height and Bessel series in the radial direction, respectively. Stable and fast numerical computations were investigated by the convergence study. Excellent agreements have been achieved in the comparison of re- suits obtained by the proposed approach with those given by the finite element software ADINA. The natural frequencies and mode shapes versus the position, the inner radius and the number of the annular baffles were thoroughly discussed.