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1.
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.  相似文献   

2.
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.  相似文献   

3.
A sea-air oscillator model is studied using the time delay theory. The aim is to find an asymptotic solving method for the El Nino-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.  相似文献   

4.
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o -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.  相似文献   

5.
A time delay model of a two-layer barotropic ocean with Rayleigh dissipation is built. Using the improved perturba- tion method, an analytic asymptotic solution of a better approximate degree is obtained in the mid-latitude wind field, and the physical meaning of the corresponding solution is also discussed.  相似文献   

6.
莫嘉琪  林万涛  林一骅 《中国物理 B》2011,20(7):70205-070205
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.  相似文献   

7.
A weak nonlinear model of a two-layer barotropic ocean with Rayleigh dissipation is built.The analytic asymptotic solution is derived in the mid-latitude stationary wind field,and the physical meaning of the corresponding problem is discussed.  相似文献   

8.
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.  相似文献   

9.
The EI Nio-southern oscillation (ENSO) is an interannual phenomenon involved in tropical Pacific oceanatmosphere interactions. In this paper, we develop an asymptotic method of solving the nonlinear equation using the ENSO model. Based on a class of the oscillator of the ENSO model, a approximate solution of the corresponding problem is studied employing the perturbation method.  相似文献   

10.
The EI Nimo and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. In this paper, an asymptotic method of solving nonlinear equations for the ENSO model is proposed. And based on a class of oscillator of the ENSO model and by employing the method of homotopic mapping, the approximate solution of equations for the corresponding ENSO model is studied. It is proved from the results that homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for the ENSO model.  相似文献   

11.
汪娜  倪明康 《物理学报》2011,60(5):50203-050203
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  相似文献   

12.
一个全球气候非线性振荡模型的近似解   总被引:2,自引:0,他引:2       下载免费PDF全文
莫嘉琪  林一骅  林万涛 《物理学报》2009,58(10):6692-6695
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  相似文献   

13.
欧阳成  林万涛  程荣军  莫嘉琪 《物理学报》2013,62(6):60201-060201
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  相似文献   

14.
朱敏  林万涛  林一骅  莫嘉琪 《物理学报》2011,60(3):30204-030204
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  相似文献   

15.
莫嘉琪  林万涛  林一骅 《物理学报》2011,60(8):80202-080202
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  相似文献   

16.
韩祥临  赵振江  程荣军  莫嘉琪 《物理学报》2013,62(11):110202-110202
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  相似文献   

17.
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...  相似文献   

18.
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.  相似文献   

19.
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.  相似文献   

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