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Analysis of a Non-linear Partial Difference Equation, and Its Application to Cardiac Dynamics
Partial difference equation Non-linear Cardiac dynamics Singular perturbation method Spatial bifurcations
2015/8/27
A model of a strip of cardiac tissue consisting of a one-dimensional chain of cardiac units is derived in the form of a non-linear partial difference equation. Perturbation analysis is performed on th...
First Announcement of “International Symposium on Application of Nonlinear Partial Differential Equations in Life Science”
International Symposium on Application Nonlinear Partial Differential Equations in Life Science
2015/3/18
Topics: Modeling and analysis of nonlinear partial differential equations (especially reaction-diffusion type equations) in life sciences and other scientific disciplines. Focus on mathematical analys...
A New Graded Algebra Structure on Differential Polynomials: Level Grading and its Application to the Classification of Scalar Evolution Equations in 1+1 Dimension
New Graded Algebra Structure Differential Polynomials Level Grading Classification of Scalar Evolution Equations 1+1 Dimension
2012/4/26
We define a new grading, that we call the "level grading", on the algebra of polynomials generated by the derivatives $u_{k+i}=\partial^{k+i}u/\partial x^{k+i}$ over the ring $K^{(k)}$ of $C^{\infty}$...
Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller-Segel equation
GNS inequality Log-HLS inequality critical mass Keller-Segel equation Analysis of PDEs
2011/9/23
Abstract: Starting from the quantitative stability result of Bianchi and Egnell for the 2-Sobolev inequality, we deduce several different stability results for a Gagliardo-Nirenberg-Sobolev inequality...
A Hamilton-Jacobi approach to junction problems and application to traffic flows
Hamilton-Jacobi equations, discontinuous Hamiltonians, viscosity solutions, optimal control, traffic problems, junctions
2011/9/13
Abstract: This paper is concerned with the study of a model case of first order Hamilton-Jacobi equations posed on a "junction", that is to say the union of a finite number of half-lines with a unique...
Smooth Contractive Embeddings and Application to Feynman Formula for Parabolic Equations on Smooth Bounded Domains
Smooth contractive extension operator elliptic differential operator
2011/1/18
We prove two assumptions made in an article by Ya.A. Butko, M. Grothaus,O.G. Smolyanov concerning the existence of a strongly continuous operator semi-group solving a Cauchy-Dirichlet problem for an e...
Rescaled Mourre's commutator theory, application to Schrödinger operators with oscillating potential
Mourre’s commutator theory Mourre estimate limiting absorption principle
2011/1/18
We present a variant of Mourre’s commutator theory. We apply it to prove the limiting absorption principle for Schr¨odinger operators with a perturbedWigner-Von Neumann potential at suitable energies....
From chemical Langevin equations to Fokker-Planck equation: application of Hodge decomposition and Klein-Kramers equation
Fokker-Planck equation application of Hodge decomposition Klein-Kramers equation
2010/12/8
The stochastic systems without detailed balance are common in various chemical reaction systems, such as metabolic network systems. In studies of these systems, the concept of potential landscape is u...
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral e...
Application of interval newton method to solve nonlinear equations and global optimization
2007/7/28
期刊信息
篇名
Application of interval newton method to solve nonlinear equations and global optimization
语种
英文
撰写或编译
撰写
作者
Li Shuang,Xu Caijun,Wang Xinzhou
第一作者单位
刊物名称
GEO-SPATIAL INFORMATION SCIENCE
页面
6(1...