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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for a Kirchhoff-type fractional coupled problem with p-Laplacian
p-Laplacian算子 Kirchhoff型分数 耦合问题 多重解
2023/11/13
We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth Nonconvex Minimax Problems with Coupled Linear Constraints
耦合 线性约束 非光滑 非凸极小问题 基本对偶交替 近端梯度算法
2023/4/14
Nonconvex minimax problems have attracted wide attention in machine learning, signal processing and many other fields in recent years. In this paper, we propose a primal dual alternating proximal grad...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The N-periodic wave solutions of some coupled bilinear equations
耦合 双线性方程 N周期波解
2023/4/26
In this talk, we present an efficient numerical scheme to calculate the N-periodic wave solutions to the Tzitzeica equation, the (2+1)-dimensional modified Bogoyavlenskii-Schiff equation and the mKdV-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed Event-Triggered Algorithm for Convex Optimization with Coupled Constraints
耦合约束凸优化 分布式事件 触发算法
2023/5/17
This talk concerns the nonsmooth distributed optimization problem via multi-agent network with the coupled equality and inequality constraints. The considered global optimization problem is to minimiz...
The entropy of coupled map lattices with respect to the group
of space-time translations is considered. We use the notion of generalized
Lyapunov spectra ([11]) to prove the analogue of Ruelle inequ...
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...
A digital model of coupled oscillators
Coupled oscillators Synchronization Digital oscillator
2015/8/27
A new model of coupled oscillators is proposed and investigated. All phase variables and parameters are integer-valued. The model is shown to exhibit two types of motions, those which involve periodic...
Classical Conservative Properties of Five Difference Schemes for Coupled Klein-Gordon-Schr ?dinger Equations
Klein-Gordon-Schr膐dinger equations difference schemes conservation
2012/8/7
In this paper we compare the classical conservative properties of 痸e
di甧rence schemes applied to the coupled Klein-Gordon-Schr膐dinger equations in the
quantum physics, and investigate the numerical ...
On the Coupled of NBEM and FEM for an Anisotropic Quasilinear Problem in Elongated Domains
Quasilinear Elliptic Equation Elliptic Artificial Boundary Natural Integral Equation
2013/1/30
In this paper, based on the Kirchhoff transformation, the coupling of natural boundary element method and finite element method are discussed for solving exterior anisotropic quasilinear problems with...
Null controllability for a parabolic-elliptic coupled system
Null controllability parabolic-elliptic systems Carleman inequalities
2012/4/16
In this paper, we prove the null controllability of some parabolic-elliptic systems. The control is distributed, locally supported in space and appears only in one PDE. The arguments rely on fixed-poi...
Competitively Coupled Maps and Spatial Pattern Formation
Competitively Coupled Maps Spatial Pattern Formation
2012/4/26
Spatial pattern formation is a key feature of many natural systems in physics, chemistry and biology. The essential theoretical issue in understanding pattern formation is to explain how a spatially h...
A New Fourth Order Difference Approximation for the Solution of Three-dimensional Non-linear Biharmonic Equations Using Coupled Approach
Three-Dimensional Non-Linear Biharmonic Equation Finite Differences Fourth Order Accuracy Compact Discretization Block-Block-Tridiagonal Tangential Derivatives Laplacian Stream Function Reynolds Number
2013/1/30
This paper deals with a new higher order compact difference scheme, which is, O(h4) using coupled approach on the 19-point 3D stencil for the solution of three dimensional nonlinear biharmonic equatio...
Operator Splitting Method for Coupled Problems:Transport and Maxwell Equations
Operator Splitting Method Initial Value Problems Iterative Solver Method Stability Analysis Beam Propagation Methods Transport and Maxwell Equations
2013/1/30
In this article a new approach is considered for implementing operator splitting methods for transport problems, influenced by electric fields. Our motivation came to model PE-CVD (plasma-enhanced che...
Orbital stability of standing waves of some m-coupled nonlinear Schrodinger equations
standing waves Orbital stability m-coupled nonlinear Schrodinger equations
2011/9/14
Abstract: We extend the notion of orbital stability to systems of nonlinear Schrodinger equations, then we prove this property under suitable assumptions of the local nonlinearity involved.