Application of Lie Symmetry and Symmetry Solving Approach to Electrical Networks with Dissipation

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：wang8danyong

【摘要】

：

　　The Lie symmetry and symmetry solving approach to electrical networks with dissipation are studied.The Lagrange-Maxwell equations of electrical networks wit

【作者】

：

YUXie[1]Jing-LiFu[2]

【机构】

：

Zhejiang Sci.Tech.Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　The Lie symmetry and symmetry solving approach to electrical networks with dissipation are studied.The Lagrange-Maxwell equations of electrical networks with dissipation are established by using Kirchhoff's laws.The definition and the theorem of Lie symmetry,the expression of the Noether conserved quantity deduced directly from the Lie symmetry for electrical networks with dissipation are obtained.

其他文献

Gaussian Process Emulators in Bayesian Inverse Problems

　　We consider the approximation by Gaussian Process emulators of the posterior distribution in Bayesian inverse problems.

会议

Efficient Calibration for Imperfect Computer Models

　　Many computer models contain unknown parameters which need to be estimated using physical observations.Tuo and Wu(2014)shows that the calibration method bas

会议

First Order Aggregation Models

　　We will study the approach of first-order macroscopic aggregation equations with alignment and interaction from the kinetic equations.

会议

Reconstruction of Partially Sampled Fourier Data Using Sparse Polynomial Annihilation Sparsifying Tr

　　Data of piecewise smooth images are sometimes acquired as Fourier samples.Standard reconstruction techniques need to deal with the uncertainty in measuremen

会议

Scattering Theory for the Boltzmann Equation and the Arrow of Time

　　We develop a scattering theory for a class of eternal solutions to the Boltzmann equation posed over all space.In three spatial dimensions each of these sol

会议

A Multiscale Kinetic Scheme for Vlasov Poisson Equations

　　We propose a multiscale kinetic scheme for Vlasov Poisson equations.Usually the Vlasov Poisson system solved by splitting scheme which solve the transport a

会议

Critical Thresholds in Flocking Dynamics with Large Number of Agents

　　We discuss the flocking dynamics of agent-based models.When the number of agents is large,one encounters a kinetic and hydrodynamics descriptions.The hydrod

会议

Conservation Laws of Partial Differential Equations and Their Connections to Symmetries

　　This talk presents a modern approach to finding conservation laws and symmetries for general PDE systems.As a main result,a kind of generalization of Noethe

会议

Symmetry Analysis and Conservation Laws for A Generalized Coupled Hyperbolic System

　　We carry out the Noether symmetry classification of a generalized coupled hyperbolic system.In addition conservation laws for several cases which admit Noet

会议

Conservation Laws of A Semilinear Radial Wave System

　　In this talk we perform Noether symmetry classification of a semilinear radial wave system.It is shown that four main cases arise with respect to the standa

会议

Application of Lie Symmetry and Symmetry Solving Approach to Electrical Networks with Dissipation

与本文相关的学术论文