一类二阶非线性方程的激波解被引量：4

A Class of Shock Solution for Nonlinear Equations of Second Order

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摘要本文利用匹配条件讨论非线性方程的激波解。得出了对应激波解与边界条件的关系。 The shock solution for nonlinear equations is considered by using the matching condition. The relation between the shock solution and its boundary conditions is discussed.

作者莫嘉琪王辉林万涛

机构地区安徽师范大学数学系中国气象科学研究院中国科学院大气物理研究所

出处《工程数学学报》 CSCD 北大核心 2005年第6期1109-1112,共4页 Chinese Journal of Engineering Mathematics

基金国家自然科学基金(90211004 10471039).

关键词非线性方程激波内层边界层 nonlinear equation shock internal layer boundary layer

分类号 O175.14 [理学—基础数学]

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参考文献7

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二级参考文献8

1MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
2MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China).A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS[J].Systems Science and Mathematical Sciences,1999,12(1):55-58. 被引量：51
3莫嘉琪,冯茂春.THE NONLINEAR SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH TIME DELAY[J].Acta Mathematica Scientia,2001,21(2):254-258. 被引量：31
4莫嘉琪,欧阳成.A CLASS OF NONLOCAL BOUNDARY VALUE PROBLEMS OF NONLINEAR ELLIPTIC SYSTEMS IN UNBOUNDED DOMAINS[J].Acta Mathematica Scientia,2001,21(1):93-97. 被引量：64
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共引文献276

1林万涛,莫嘉琪.简单ENSO海-气耦合模式摄动解的渐近性态[J].科学通报,2003,48(z1):78-81. 被引量：1
2Yao Jingsun,Mo Jiaqi.SINGULARLY PERTURBED SOLUTION TO SEMILINEAR HIGHER ORDER REACTION DIFFUSION EQUATIONS WITH TWO PARAMETERS[J].Annals of Differential Equations,2009,25(1):91-96.
3莫嘉琪.具有奇性方程的非线性奇摄动问题的正解(英文)[J].应用数学,2010(1):13-17. 被引量：1
4LIU,Qi-lin(刘其林),MO,Jia-qi(莫嘉琪).THE ASYMPTOTIC BEHAVIOR OF SOLUTION FOR THE SINGULARLY PERTURBED INITIAL BOUNDARY VALUE PROBLEMS OF THE REACTION DIFFUSION EQUATIONS IN A PART OF DOMAIN[J].Applied Mathematics and Mechanics(English Edition),2001,22(10):1192-1197. 被引量：1
5Liu Shude~1 Chen Lihua~2 Mo Jiaqi~(1,3) (1.Dept.of Math.,Anhui Normal University,Wuhu 241000,Anhui,2.Dept.of Math.,Fuqing Branch of Fujian Normal University,Fuqing 350300,Fujian,3.Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240).THE INITIAL-BOUNDARY VALUE PROBLEMS OF NONLINEAR AND NONLOCAL SINGULARLY PERTURBED REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2008,24(1):20-28. 被引量：5
6Mo Jiaqi1,2,Yao Jingsun1(1. Dept. of Math.,Anhui Normal University,Wuhu 241000,Anhui,2. Division of Computational Science,E-Institutes of Shanghai Universities at SJTU,Shanghai 200240).THE GENERALIZED FUNCTIONAL-VARIATION SOLVING METHODS FOR NONLINEAR REACTION DIFFUSION IN BIONOMICS OF SPECIES GROUPS[J].Annals of Differential Equations,2008,24(2):193-196. 被引量：1
7Jingsun Yao,Jiaqi Mo.ASYMPTOTIC SOLUTION TO NONLINEAR REACTION DIFFUSION EQUATION WITH TWO SMALL PARAMETERS[J].Annals of Differential Equations,2010,26(1):100-104.
8Jiaqi Mo.ASYMPTOTIC SOLUTION TO NONLINEAR ECOLOGICAL REACTION DIFFUSION SYSTEM[J].Annals of Differential Equations,2010,26(3):292-296.
9Jiaqi Mo,Jingsun Yao.ASYMPTOTIC SOLUTION TO MODEL FOR A CLASS OF VIRUS TRANSMISSION[J].Annals of Differential Equations,2010,26(4):436-441.
10Lihua Chen,Jiaqi Mo.THE INTERIOR LAYER SOLUTION TO NONLOCAL REACTION DIFFUSION EQUATIONS[J].Annals of Differential Equations,2011,27(4):434-439.

同被引文献31

1MO Jiaqi and WANG Hui(1. Anhui Normal University, Wuhu 241000, China,2. National Natural Science Foundation of China, Beijing 100085, China).Shock solution for quasilinear singularly perturbed Robin problem[J].Progress in Natural Science:Materials International,2002,12(12):945-947. 被引量：70
2欧阳成.一个带m阶转向点的奇摄动特征值问题[J].工程数学学报,2005,22(3):559-562. 被引量：6
3莫嘉琪.具有二阶转向点的大参数奇摄动方程[J].厦门大学学报（自然科学版）,2005,44(6):753-755. 被引量：6
4倪明康.临界情况下一类拟线性方程组的初值问题[J].华东师范大学学报（自然科学版）,2006(1):15-16. 被引量：10
5莫嘉琪,林万涛.一类奇摄动非线性方程的激波解[J].系统科学与数学,2006,26(6):737-743. 被引量：11
6莫嘉琪,林万涛.一类大气浅水波方程的近似解[J].物理学报,2007,56(7):3662-3666. 被引量：3
7章国华,侯斯FA.非线性奇异摄动现象:理论和应用[M].福州:福建科学技术出版社,1989.
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引证文献4

1葛志新.一类二次奇摄动Robin问题[J].工程数学学报,2011,28(2):245-250. 被引量：5
2周哲彦,沈建和.具有无穷大边界值的二阶拟线性奇摄动Robin问题的双边界层[J].福建师范大学学报（自然科学版）,2011,27(4):7-13. 被引量：2
3史娟荣.一类具有n阶转向点的大参数奇摄动方程的特征值问题[J].安徽工业大学学报（自然科学版）,2015,32(3):289-292.
4韩建邦,沈启霞.具有无穷边界值的二次非线性奇摄动边值问题的双边界层[J].高校应用数学学报（A辑）,2016,31(3):316-326.

二级引证文献6

1陈怀军,姚静荪,莫嘉琪.一类反应扩散方程的激波解(英文)[J].工程数学学报,2013,30(2):311-316. 被引量：1
2韩建邦,沈建和,周哲彦.一类具有无穷边界值的二次奇摄动边值问题[J].高校应用数学学报（A辑）,2013,28(2):180-188. 被引量：1
3葛志新.一类两参数奇异摄动拟线性微分方程组的边值问题渐近解[J].工程数学学报,2013,30(4):611-618. 被引量：2
4许进.一类具有边界层性质的二次奇摄动边值问题[J].应用数学与计算数学学报,2015,29(1):107-114. 被引量：1
5韩建邦,沈启霞.具有无穷边界值的二次非线性奇摄动边值问题的双边界层[J].高校应用数学学报（A辑）,2016,31(3):316-326.
6葛志新,陈咸奖,陈松林.一类含有分数阶导数的参数激励振动问题[J].振动与冲击,2017,36(4):88-92. 被引量：6

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一类二阶非线性方程的激波解被引量：4

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一类二阶非线性方程的激波解 被引量：4

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二级参考文献8

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一类二阶非线性方程的激波解被引量：4