国家自然科学基金(40876010)

作品数:90被引量:223H指数:11
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相关作者:莫嘉琪温朝晖林万涛陈丽华周先春更多>>
相关机构:安徽师范大学安徽财经大学上海交通大学中国科学院大气物理研究所更多>>
相关期刊:《系统科学与数学》《Chinese Geographical Science》《Journal of Mathematical Research with Applications》《吉林大学学报(理学版)》更多>>
相关主题:非线性渐近解奇摄动ASYMPTOTIC_SOLUTIONNONLINEAR更多>>
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Black carbon record of the wildfire history of western Sichuan Province in China over the last 12.8 ka被引量:1
《Frontiers of Earth Science》2016年第4期634-643,共10页Weiwei SUN Enlou ZHANG Ji SHEN Rong CHEN Enfeng LIU 
Acknowledgements We thank three anonymous reviewers who gave us important advice which improved the quality of the manuscript. We also thank Dr. Jan Bloemendal for correcting the English language, and Dr. Q Jiang, Dr. H Tang for field assistance. This project was supported by the Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues of the Chinese Academy of Sciences (Grant No. XDA05120102) and NIGLAS (2012135004), and the National Natural Science Foundation of China (Grant No. 41272380).
Wildfire is recognized as a critical Earth system process which affects the global carbon cycle, atmospheric chemistry, and ecosystem dynamics. Estimat- ing the potential impact of future climate change on the inciden...
关键词:black carbon WILDFIRE summer monsoon human activity HOLOCENE Lake Muge Co 
Positive Solution of Singularly Perturbed Dirichlet Problem with Singularities
《Acta Mathematicae Applicatae Sinica》2014年第3期611-616,共6页Li-hua CHEN Jia-qi MO 
Supported by the National Natural Science Foundation of China(No.40876010);the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province(No.KJ2011A135);the Foundation of the Education Department of Fujian Province,China(No.JA10288);the Natural Science Foundation of Jiangsu Province(No.BK2011042)
A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable co...
关键词:nonlinear singular equation singular perturbation boundary value problem 
非线性反应扩散问题的激波解(英文)
《数学杂志》2013年第3期381-387,共7页陈丽华 姚静荪 温朝晖 莫嘉琪 
Supported by the National Natural Science Foundation of China(40876010);the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues"of the Chinese Academy of Sciences(XDA01020304);the Natural Science Foundation of Jiangsu Province(BK2011042);the Natural Science Foundation of Zhejiang Province(Y6110502);the Foundation of theEducation Department of Fujian Province of China(JA10288);the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2011A135;KJ2011Z003)
本文研究了一类非线性反应扩散问题.利用微分不等式理论,得到了具有激波层的问题解的渐近表示式.
关键词:非线性 反应扩散 激波 微分不等式 
反应扩散方程的内层和边界层解(英文)
《数学进展》2013年第2期159-164,共6页姚静荪 莫嘉琪 
Project supported by NSFC(No.40876010);the "Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues" of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province(No.KJ2011A135,No.KJ2011Z003);the Natural Science Foundation of Jiangsu Province(No.BK2011042)
本文讨论了一类半线性反应扩散方程初始边值问题.在适当的条件下,利用微分不等式理论,研究了初始边值问题内层和边界层解的存在性和渐近性态.
关键词:内层 边界层 渐近解 
Asymptotic Solution of Nonlinear Nonlocal Singularly Perturbed Reaction Diffusion Problems with Two Parameters被引量:1
《Acta Mathematicae Applicatae Sinica》2012年第3期583-590,共8页Zai-ying ZHOU Jia-qi MO 
Supported by the National Natural Science Foundation of China (No. 40876010);the Main Direction Program of the Knowledge Innovation Project of Chinese Academy of Sciences (KZCX2-YW-Q03-08);the Natural Science Research Fund of Provincial Institutions of Higher Learning (No. KJ2011Z148)
A class of differential-difference reaction diffusion equations initial boundary problem with a small time delay is considered. Under suitable conditions and by using method of the stretched variable, the formal asymp...
关键词:NONLINEAR reaction diffusion singular perturbation time delay 
一类催化抑制系统反应扩散方程的奇摄动(英文)被引量:2
《数学进展》2012年第4期455-462,共8页温朝晖 莫嘉琪 
supported by NSFC(No.40876010);the"Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues"of the Chinese Academy of Sciences(No.XDA01020304);the Natural Science Foundation from the Education Bureau of Anhui Province(No.KJ2011A135,No.KJ2011Z003);the Natural Science Foundation of Jiangsu Province(No.BK2011042)
研究了一类奇摄动非线性催化抑制系统反应扩散方程.在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量、多重尺度和幂级数展开理论构造出解的形式渐近展开式最后利用微分不等式理论讨论了问题解的一致有效性和渐近性态.
关键词:非线性 反应扩散 催化系统 奇摄动 
THE CORNER LAYER SOLUTION TO ROBIN PROBLEM FOR REACTION DIFFUSION EQUATION
《Annals of Differential Equations》2012年第2期132-136,共5页Lihua Chen (Dept. of Math. and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian) Zhaohui Wen (Institute of Applied Math., School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, Anhui) Cheng Ouyang (Faculty of Science, Huzhou Teacher College, Huzhou 313000, Zhejiang) Jiaqi Mo (Dept. of Math., Anhui Normal University, Wuhu 241003, Anhui) 
supported by the National Natural Science Foundation of China (40876010);the LASG State Key Laboratory Special Fund;the Natural Science Foundation of Zhejiang Province (Y6110502);the Foundation of the Education Department of Fujian Province (JA10288);the Natural Science Foundation from the Education Bureau of Anhui Province (KJ2011A135;KJ2011Z003)
A class of Robin boundary value problem for reaction diffusion equation is considered. Under suitable conditions, using the theory of differential inequalities the existence and asymptotic behavior of the corner layer...
关键词:corner layer asymptotic solution Robin problem 
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被引量:4
《物理学报》2012年第8期19-24,共6页林万涛 陈丽华 欧阳成 莫嘉琪 
国家自然科学基金(批准号:40876010;11071205);中国科学院战略性先导研究计划(批准号:XDA01020304);浙江省自然科学基金(批准号:Y6110502);福建省教育厅自然科学基金(批准号:JA10288);安徽教育厅自然科学基金(批准号:KJ2011A135)资助的课题~~
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.
关键词:孤子 渐近方法 厄尔尼诺/拉尼娜现象 
一类奇摄动拟线性边值问题的激波解被引量:22
《数学物理学报(A辑)》2012年第2期312-319,共8页刘树德 孙建山 谢元静 
国家自然科学基金(40876010);安徽省高校自然科学基金(KJ2010A153)资助
研究了一类奇摄动拟线性边值问题,在适当的条件下,用合成展开法构造出该问题的形式近似式,并应用不动点定理证明了激波解的存在性及其渐近性质.
关键词:奇摄动 拟线性 边值问题 激波解 合成展开法 不动点定理. 
半线性方程ROBIN问题的角层解(英文)被引量:21
《应用数学》2012年第1期1-4,共4页莫嘉琪 陈怀军 
Supported by the National Natural Science Foundation of China(40876010,49906013);the Strategic Priority Research Program-Climate Change:Carbon Budget and Relevant Issues of the Chinese Academy of Science(XDA01020304);the Natural Science Foundation of Jiangsu Province(BK20110420);the Natural Science Foundation from the Education Bureau of Anhui Province(KJ2010A128,KJ2010B360)
本文讨论了一类半线性方程Robin边值问题.利用微分不等式理论,研究了边值问题角层解的存在性和渐近性态.
关键词:角层 渐近解 ROBIN问题 
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