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《微分方程年刊(英文版)》 2012-01
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SOLUTION WITH SHOCK-BOUNDARY LAYER AND SHOCK-INTERIOR LAYER TO A CLASS OF NONLINEAR PROBLEMS

Rongrong Tang (Faculty of Science,Huzhou Teachers College,Huzhou 313000,Zhenjiang)  
In this paper,the shock behaviors of solution to a class of nonlinear singularly perturbed problems are considered.Under some appropriate conditions,the outer and interior solutions to the original problem are constructed.Using the special limit and matching theory,the expressions of solutions with the shock behavior near the boundary and some interior points are given and the domain for boundary values is obtained.
【Fund】: Supported by the National Natural Science Foundation of China (No.11071205);; the Natural Science Foundation of Zhejiang (No.Y6090164)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 Tang Rongrong Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou 313000; Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200240;THE SHIFT OF SHOCK LOCATION FOR A CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS[J];Journal of Systems Science and Mathematical Sciences;2006-04
2 MO 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];自然科学进展(英文版);2002-12
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHENG Ying-deng,OU Yang-cheng(Dept.of Math.,Huzhou Teachers college,Huzhou 313000,China);Class of wonlinear singnlarly perturbed problems with two layers[J];Journal of Anhui Polytechnic University;2011-01
2 LI Huang,OUYANG Cheng,HAN Xiang-lin(Department of Mathematics,Huzhou Teachers College,Huzhou 313000,China);Asymptotic Solution to the Perturbation Problem of Nonlinear Equation with an Unbounded Interval[J];Journal of Anhui Normal University(Natural Science);2010-01
3 LUO Xiao-jing(Department of Mathematics,Anhui Normal University,Wuhu 241000,China);A Class of Three-Order Semilinear Singularly Perturbed Problem with Boundary Perturbed[J];Journal of Anhui Normal University(Natural Science);2010-04
4 CHEN Xiu-qing(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 2410000,China);Perturbed Solution for the Forced Vibration Equation with Damping[J];Journal of Anqing Teachers College(Natural Science Edition);2008-01
5 Jiaqi Mo (Anhui Normal University,China,E-Institutes of Shanghai Universities at SJTU, China,Huzhou Teachers College,China);SINGULARLY PERTURBED SOLUTION FOR THIRD ORDER NONLINEAR EQUATIONS WITH TWO PARAMETERS[J];分析,理论与应用(英文版);2007-04
6 Li Chao 1,Wang Xiaoyun 1,2(1.College of Science,North University of China,Taiyuan 030051,China;2.Department of Mathematics,Shanxi Police Academy,Taiyuan 030021,China);Singularly perturbed solution for nonlinear equations with some parameters[J];Pure and Applied Mathematics;2012-03
7 MO Jia-qi~(1,2)ZHANG Wei-jiang~(2,3)and CHEN Xian-feng~(2,3) (1.Department of Mathematics,Anhui Normal University,Wuhu,241000) (2.Division of Computational Science,E-Institutes of Shanghai Universities at SJTU, Shanghai,200240) (3.Department of Mathematics,Shanghai Jiaotong University,Shanghai,200240);The Nonlinear Singularly Perturbed Problems for Elliptic Equations with Boundary Perturbation[J];东北数学(英文版);2007-04
8 ZHOU Zhe-yan,SHEN Jian-he(School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China);Doubled Boundary Layers of Robin Problems with Infinite Boundary Values for Singularly Perturbed Quasi-linear Differential Equations[J];Journal of Fujian Normal University(Natural Science Edition);2011-04
9 SHEN Li-ming,OUYANG Cheng (College of Science,Huzhou Teachers' College,Huzhou 313000,China);Nonlnear Singularly Perturbed Boundary Value Problems withmul TI-Layer Phenonenon[J];Journal of Hunan Institute of Engineering(Natural Science Edition);2009-04
10 Mo Jiaqi 1 Lin Wantao 2 Zhu Jiang 21 Anhui Normal University, Wuhu 241000, China. 2 Institute of Atomospheric Physics, Chinese Academy of Sciences,Beijing 100029, China.;ASYMPTOTIC BEHAVIOR OF SOLUTION FOR A CLASS OF REACTION DIFFUSION EQUATIONS[J];高校应用数学学报B辑(英文版);2004-04
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