经典物理中的扰动时滞模型解

利用边界层函数法研究了一类经典物理中的扰动时滞模型. 构造了模型解的渐近表达式, 并讨论了它的渐近性态. 关键词： 经典物理 扰动 近似解     

一个全球气候非线性振荡模型的近似解

研究了一个全球气候的非线性模型. 利用摄动理论和方法, 构造了相关问题解的渐近展开式, 该问题解的渐近展开式具有较高的近似度. 摄动渐近方法是一个解析方法, 得到的解还能够继续进行解析运算. 关键词： 非线性 摄动 全球气候     

一类厄尔尼诺时滞海-气振子摄动解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞振子耦合系统. 利用时滞理论, 摄动等方法求出了ENSO模型解的渐近式,并讨论了相应问题的渐近性态. 关键词： 非线性 摄动 ENSO模型     

一类厄尔尼诺海-气时滞振子的渐近解

研究了一类厄尔尼诺-南方涛动机制. 利用奇异摄动理论和方法求出了厄尔尼诺-南方涛动模型的外部解及初始层校正项. 从而得到问题解的渐近展开式, 并讨论了解的渐近性态. 关键词： 非线性 渐近解 厄尔尼诺-南方涛动模型     

厄尔尼诺/拉尼娜-南方涛动机制时滞海-气振子的渐近解

研究了一类厄尔尼诺/拉尼娜-南方涛动机制. 利用渐近分析的摄动方法,简单而有效地构造了一个厄尔尼诺/拉尼娜和南方涛动时滞模型解的渐近展开式. 讨论了相应问题解的渐近性态. 关键词： 非线性 渐近性态 厄尔尼诺/拉尼娜-南方涛动模型     

飞秒脉冲激光对纳米金属薄膜传导模型的解

研究了一类飞秒脉冲激光对纳米金属薄膜传导模型. 首先求出模型的退化解, 然后利用摄动理论和方法, 得到了相应模型的任意次渐近解. 最后论述了解的渐近性态. 关键词： 飞秒脉冲 激光 渐近性态     

Variational iteration method for solving the mechanism of the Equatorial Eastern Pacific El Nino-Southern Oscillation

A class of coupled system for the E1 Nifio-Southern Oscillation （ENSO） mechanism is studied. Using the method of variational iteration for perturbation theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behaviour of solution for corresponding problem is considered.     

Hydrogen and humidity sensing characteristics of Nafion,Nafion/graphene,and Nafion/carbon nanotube resistivity sensors

Journal of Nanoparticle Research - The melting of micro-/nanoparticles in an alloy melt is investigated by using the asymptotic method. The asymptotic solution of the dynamic model for...     

On the theory of a boundary layer associated with wave motion on the free surface of a liquid

A modified theory of a boundary layer associated with a periodic capillary-gravitational motion on the free surface of an infinitely deep viscous liquid is proposed. The flow in the boundary layer is described in terms of a simplified (compared with the complete statement) model problem a solution to which correctly reflects the main features of an exact asymptotic solution: the rapid decay of the flow eddy part with depth of the liquid and insignificance of some terms appearing in the complete statement. The boundary layer thickness at which the discrepancy between the exact asymptotic solution and model solution is within a given margin is estimated.     

On Global Stability for Lifschitz–Slyozov–Wagner Like Equations

This paper is concerned with the stability and asymptotic stability at large time of solutions to a system of equations, which includes the Lifschitz–Slyozov–Wagner (LSW) system in the case when the initial data has compact support. The main result of the paper is a proof of weak global asymptotic stability for LSW like systems. Previously strong local asymptotic stability results were obtained by Niethammer and Velázquez for the LSW system with initial data of compact support. Comparison to a quadratic model plays an important part in the proof of the main theorem when the initial data is critical. The quadratic model extends the linear model of Carr and Penrose, and has a time invariant solution which decays exponentially at the edge of its support in the same way as the infinitely differentiable self-similar solution of the LSW model.     

一类大气等离子体反应扩散模型的解法

研究了一类大气等离子体反应扩散模型. 利用奇摄动方法得到了问题的渐近解, 并用微分不等式理论证明了解的一致有效性.     

Asymptotic solution for the El Ni no time delay seaben air oscillator model

A sea—air oscillator model is studied using the time delay theory. The aim is to find an asymptotic solving method for the El Ni no-southern oscillation (ENSO) model. Employing the perturbed method, an asymptotic solution of the corresponding problem is obtained. Thus we can obtain the prognoses of the sea surface temperature (SST) anomaly and the related physical quantities.     

Asymptotic solution for a class of sea-air oscillator model for El Nin^～o-southern oscillation

The El Nifio-Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is used. And based on a class of oscillator of ENSO model, the approximate solution of a corresponding problem is studied by employing the perturbation method. Firstly, an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced, Secondly, by using the perturbed method, the zeroth and first order asymptotic perturbed solutions are constructed. Finally, from the comparison of the values for a figure, it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy. And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model.     

Estimation of accuracy of an asymptotic solution of the generalized Cauchy problem for the Boussinesq equation as applied to the potential model of tsunami with a “simple” source

Statement of the hydrodynamic problem in the framework of the potential tsunami model with “simple” source whose solution is chosen as the reference one. Generalized Cauchy problem for the Boussinesq equation and its reduction to the classical one. Analytical solution of the Cauchy problem for the Boussinesq equation. An explanation of the incorrectness of the formulation of the problem. Derivation of an approximate equation for the correct setting of the Cauchy problem. The known reference solution of the problem. An analytical solution of the correct problem and the derivation of its asymptotic representation in the “far zone.” Comparison of the graphs of the temporal history of wave height calculated by the formulas of the asymptotic and reference solutions. Estimation of the accuracy of the asymptotic solution by a three-level scale. Discussion. A remark concerning the referees.     

厄尔尼诺-南方涛动时滞海-气振子耦合模型

研究了一个时滞海-气振子模型.利用摄动理论和方法，得到了海-气振子模型解的渐近展开式. 关键词： 非线性 时滞 厄尔尼诺-南方涛动 海-气振子     

厄尔尼诺/拉尼娜-南方涛动非线性扰动模型孤子的渐近解法

研究了一类厄尔尼诺/拉尼娜-南方涛动(ENSO)随机扰动模型. 首先, 利用特殊的待定系数方法得到了无扰动ENSO模型下的孤子精确解. 然后利用渐近理论和方法构造了随机扰动ENSO模型的近似解, 并举例说明得到的渐近解具有较好的精度.     

海-气振子厄尔尼诺-南方涛动模型的近似解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞耦合系统振荡的模型.利用同伦映射方法求出了ENSO模型解的渐近展开式,并讨论了相应问题的渐近性态。     

Singularly perturbed solution of a sea--air oscillator model for the ENSO

A time delay equation for the sea--air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the El Ni\tilde{\rm n}o--Southern Oscillation model. And based on a class of oscillators of the model, employing the method of ENSO singular perturbation, the asymptotic solution of corresponding problem is obtained. It is proven from the results that the method of singular perturbation can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific of the atmosphere--ocean oscillation for ENSO model.     

Asymptotic solving method for sea-air coupled oscillator ENSO model

The ENSO is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interaction.In this article,we create an asymptotic solving method for the nonlinear system of the ENSO model.The asymptotic solution is obtained.And then we can furnish weather forecasts theoretically and other behaviors and rules for the atmosphere-ocean oscillator of the ENSO.