Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

MO Jiaqi; LIN Wantao; WANG Hui

doi:10.1007/s11769-008-0193-3

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Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

MO Jiaqi, LIN Wantao, WANG Hui

文章导航 > Chinese Geographical Science > 2008 > 18(2): 193-196

MO Jiaqi, LIN Wantao, WANG Hui. Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate[J]. 中国地理科学, 2008, 18(2): 193-196. doi: 10.1007/s11769-008-0193-3

引用本文:

MO Jiaqi, LIN Wantao, WANG Hui. Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate[J]. 中国地理科学, 2008, 18(2): 193-196. doi: 10.1007/s11769-008-0193-3

MO Jiaqi, LIN Wantao, WANG Hui. Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate[J]. Chinese Geographical Science, 2008, 18(2): 193-196. doi: 10.1007/s11769-008-0193-3

Citation:

MO Jiaqi, LIN Wantao, WANG Hui. Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate[J]. Chinese Geographical Science, 2008, 18(2): 193-196. doi: 10.1007/s11769-008-0193-3

Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

doi: 10.1007/s11769-008-0193-3

MO Jiaqi^1,2,3,,
LIN Wantao⁴,
WANG Hui⁵

1.
Department of Mathematics, Anhui Normal University, Wuhu 241000, China;
2.
Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;
3.
Huzhou Teachers College, Huzhou 313000, China;
4.
LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
5.
Chinese Academy of Meteorological Sciences, Beijing 100081, China

基金项目: Under the auspices of National Natural Science Foundation of China (No. 40676016, No. 10471039);National Key Project for Basics Research (No. 2003CB415101-03, No. 2004CB418304);Key Project of Chinese Academy of Sciences (No. KZCX3-SW-221);E-Insitutes of Shanghai Municipal Education Commission (No. E03004)

详细信息

通讯作者:
MO Jiaqi. E-mail: mojiaqi@mail.ahnu.edu.cn

Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

MO Jiaqi^{1,2,3
,},
LIN Wantao⁴,
WANG Hui⁵

1.
Department of Mathematics, Anhui Normal University, Wuhu 241000, China;
2.
Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;
3.
Huzhou Teachers College, Huzhou 313000, China;
4.
LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
5.
Chinese Academy of Meteorological Sciences, Beijing 100081, China

摘要: A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the multiscales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Secondly, by using the multiscales, the first order approximate equation of the model is found. Finally, second order approximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multiscales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.
- atmosphere-ocean /
- El Ni?o-Southern Oscillation /
- singular perturbation /
- approximate solution
Abstract: A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the multiscales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Secondly, by using the multiscales, the first order approximate equation of the model is found. Finally, second order approximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multiscales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.
- atmosphere-ocean /
- El Ni?o-Southern Oscillation /
- singular perturbation /
- approximate solution

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Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

doi: 10.1007/s11769-008-0193-3

1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China;

2. Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;

3. Huzhou Teachers College, Huzhou 313000, China;

4. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;

5. Chinese Academy of Meteorological Sciences, Beijing 100081, China

通讯作者: MO Jiaqi. E-mail: mojiaqi@mail.ahnu.edu.cn

收稿日期: 2007-08-29
修回日期: 2008-02-23
刊出日期: 2008-06-20

关键词:

atmosphere-ocean /

El Ni?o-Southern Oscillation /

singular perturbation /

approximate solution

摘要: A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the multiscales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Secondly, by using the multiscales, the first order approximate equation of the model is found. Finally, second order approximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multiscales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.

English Abstract

MO Jiaqi, LIN Wantao, WANG Hui. Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate[J]. 中国地理科学, 2008, 18(2): 193-196. doi: 10.1007/s11769-008-0193-3

引用本文:

MO Jiaqi, LIN Wantao, WANG Hui. Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate[J]. 中国地理科学, 2008, 18(2): 193-196. doi: 10.1007/s11769-008-0193-3

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Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

doi: 10.1007/s11769-008-0193-3

通讯作者: MO Jiaqi. E-mail: mojiaqi@mail.ahnu.edu.cn

Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

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Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

doi: 10.1007/s11769-008-0193-3

通讯作者: MO Jiaqi. E-mail: mojiaqi@mail.ahnu.edu.cn

English Abstract

Singularly Perturbed Solution of Coupled Model in Atmosphere-ocean for Global Climate

全文HTML

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通讯作者:
MO Jiaqi. E-mail: mojiaqi@mail.ahnu.edu.cn