非线性反应扩散问题的广义渐近解
发布时间：2021-01-24 04:54
研究了具有内部激波层、初始层的非线性反应扩散方程奇摄动广义初始边值问题.在适当的条件下,讨论了问题的广义外部解.引入伸长变量,构造了原问题具有内部激波和初始层校正项的广义解的形式渐近展开式.利用泛函分析不动点理论得到了原初始边值问题广义解的存在性和一致有效的内部激波广义渐近解.
【文章来源】：武汉大学学报(理学版). 2017,63(02)北大核心
【文章页数】：5 页
【文章目录】：
0 引言
1 外部解
2 广义内部激波层校正项
3 广义初始层校正项
4 广义解的一致有效性
【参考文献】：
期刊论文
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本文编号：2996611
【文章来源】：武汉大学学报(理学版). 2017,63(02)北大核心
【文章页数】：5 页
【文章目录】：
0 引言
1 外部解
2 广义内部激波层校正项
3 广义初始层校正项
4 广义解的一致有效性
【参考文献】：
期刊论文
[1]一类双参数高阶拟线性非局部方程奇摄动解（英文）[J]. 史娟荣,林万涛,莫嘉琪. 南开大学学报(自然科学版). 2015(01)
[2]一类非线性强阻尼扰动发展方程的解[J]. 史娟荣,石兰芳,莫嘉琪. 应用数学和力学. 2014(09)
[3]高阶非线性非局部方程的奇摄动解（英文）[J]. 汪维刚,史娟荣,石兰芳,莫嘉琪. 南开大学学报(自然科学版). 2014(01)
[4]Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. 莫嘉琪,陈贤峰. Chinese Physics B. 2010(10)
[5]一类非线性扰动Nizhnik-Novikov-Veselov系统的孤立波近似解析解[J]. 莫嘉琪,陈贤峰. 物理学报. 2010(05)
[6]一类广义非线性扰动色散方程孤立波的近似解[J]. 莫嘉琪,陈贤峰. 物理学报. 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]一类奇摄动微分—差分反应扩散方程（英文）[J]. 莫嘉琪. 数学进展. 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)
本文编号：2996611
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