非線性反應(yīng)擴散問題的廣義漸近解
發(fā)布時間:2021-01-24 04:54
研究了具有內(nèi)部激波層、初始層的非線性反應(yīng)擴散方程奇攝動廣義初始邊值問題.在適當?shù)臈l件下,討論了問題的廣義外部解.引入伸長變量,構(gòu)造了原問題具有內(nèi)部激波和初始層校正項的廣義解的形式漸近展開式.利用泛函分析不動點理論得到了原初始邊值問題廣義解的存在性和一致有效的內(nèi)部激波廣義漸近解.
【文章來源】:武漢大學學報(理學版). 2017,63(02)北大核心
【文章頁數(shù)】:5 頁
【文章目錄】:
0 引言
1 外部解
2 廣義內(nèi)部激波層校正項
3 廣義初始層校正項
4 廣義解的一致有效性
【參考文獻】:
期刊論文
[1]一類雙參數(shù)高階擬線性非局部方程奇攝動解(英文)[J]. 史娟榮,林萬濤,莫嘉琪. 南開大學學報(自然科學版). 2015(01)
[2]一類非線性強阻尼擾動發(fā)展方程的解[J]. 史娟榮,石蘭芳,莫嘉琪. 應(yīng)用數(shù)學和力學. 2014(09)
[3]高階非線性非局部方程的奇攝動解(英文)[J]. 汪維剛,史娟榮,石蘭芳,莫嘉琪. 南開大學學報(自然科學版). 2014(01)
[4]Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. 莫嘉琪,陳賢峰. Chinese Physics B. 2010(10)
[5]一類非線性擾動Nizhnik-Novikov-Veselov系統(tǒng)的孤立波近似解析解[J]. 莫嘉琪,陳賢峰. 物理學報. 2010(05)
[6]一類廣義非線性擾動色散方程孤立波的近似解[J]. 莫嘉琪,陳賢峰. 物理學報. 2010(03)
[7]Homotopic mapping solving method for gain fluency of a laser pulse amplifier[J]. MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China; 2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China. Science in China(Series G:Physics,Mechanics & Astronomy). 2009(07)
[8]一類奇攝動微分—差分反應(yīng)擴散方程(英文)[J]. 莫嘉琪. 數(shù)學進展. 2009(02)
[9]ASYMPTOTIC SOLUTION OF ACTIVATOR INHIBITOR SYSTEMS FOR NONLINEAR REACTION DIFFUSION EQUATIONS[J]. Jiaqi MO Wantao LIN Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China.. Journal of Systems Science and Complexity. 2008(01)
[10]Variational iteration solving method of a sea-air oscillator model for the ENSO[J]. MO Jiaqi, LIN Wantao and WANG Hui ( Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; Chinese Academy of Meteorological Sciences, Beijing 100081, China). Progress in Natural Science. 2007(02)
本文編號:2996611
【文章來源】:武漢大學學報(理學版). 2017,63(02)北大核心
【文章頁數(shù)】:5 頁
【文章目錄】:
0 引言
1 外部解
2 廣義內(nèi)部激波層校正項
3 廣義初始層校正項
4 廣義解的一致有效性
【參考文獻】:
期刊論文
[1]一類雙參數(shù)高階擬線性非局部方程奇攝動解(英文)[J]. 史娟榮,林萬濤,莫嘉琪. 南開大學學報(自然科學版). 2015(01)
[2]一類非線性強阻尼擾動發(fā)展方程的解[J]. 史娟榮,石蘭芳,莫嘉琪. 應(yīng)用數(shù)學和力學. 2014(09)
[3]高階非線性非局部方程的奇攝動解(英文)[J]. 汪維剛,史娟榮,石蘭芳,莫嘉琪. 南開大學學報(自然科學版). 2014(01)
[4]Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. 莫嘉琪,陳賢峰. Chinese Physics B. 2010(10)
[5]一類非線性擾動Nizhnik-Novikov-Veselov系統(tǒng)的孤立波近似解析解[J]. 莫嘉琪,陳賢峰. 物理學報. 2010(05)
[6]一類廣義非線性擾動色散方程孤立波的近似解[J]. 莫嘉琪,陳賢峰. 物理學報. 2010(03)
[7]Homotopic mapping solving method for gain fluency of a laser pulse amplifier[J]. MO JiaQi1,2 1 Anhui Normal University, Wuhu 241000, China; 2 Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China. Science in China(Series G:Physics,Mechanics & Astronomy). 2009(07)
[8]一類奇攝動微分—差分反應(yīng)擴散方程(英文)[J]. 莫嘉琪. 數(shù)學進展. 2009(02)
[9]ASYMPTOTIC SOLUTION OF ACTIVATOR INHIBITOR SYSTEMS FOR NONLINEAR REACTION DIFFUSION EQUATIONS[J]. Jiaqi MO Wantao LIN Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China.. Journal of Systems Science and Complexity. 2008(01)
[10]Variational iteration solving method of a sea-air oscillator model for the ENSO[J]. MO Jiaqi, LIN Wantao and WANG Hui ( Department of Mathematics, Anhui Normal University, Wuhu 241000, China; Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; Chinese Academy of Meteorological Sciences, Beijing 100081, China). Progress in Natural Science. 2007(02)
本文編號:2996611
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