一类拟线性Robin问题的激波解

Acta mathematica scientia,Series A

• Articles • Previous Articles Next Articles

A Class of Shock Solution for Quasilinear Robin Problems

Mo Jiaqi

(Department of Mathematics, Anhui Normal University, Wuhu 241000; Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240; Department of Mathematics, Huzhou Teachers College, Huzhou 313000)

Received:2006-10-08 Revised:2008-04-25 Online:2008-10-25 Published:2008-10-25
Contact: Mo Jiaqi

Abstract

Abstract: A class of Robin two points boundary value problems are considered. Under suitable conditions, using the transformation of stretched variable, shock layer corrective term near the interior point in the interval is constructed. And using the theory of differential inequalities the existence, uniform validity and asymptotic behavior of solution for the original boundary value problem are proved.

Key words: Singular perturbation, Quasilinear, Boundary value problem, Shock

CLC Number:

34E15

Mo Jiaqi. A Class of Shock Solution for Quasilinear Robin Problems[J].Acta mathematica scientia,Series A, 2008, 28(5): 818-822.

Trendmd

[1]	Wang Huiwen, Zeng Hongjuan, Li Fang. An Existence Result for Impulsive Boundary Value Problem for Fractional Differential Equations with Multiple Base Points [J]. Acta mathematica scientia,Series A, 2018, 38(4): 697-715.
[2]	Shen Wenguo. Interval Bifurcation for the p-Laplacian Equation and Its Applications [J]. Acta mathematica scientia,Series A, 2018, 38(4): 770-778.
[3]	Liao Shupeng, Shen Jianhe. One-Pulse Travelling Front Solutions of a sine-Gordon Equation with Slowly Varying Parameters [J]. Acta mathematica scientia,Series A, 2018, 38(4): 810-822.
[4]	Lin Jiaoyan. Uniform Estimates in Time for the Solution to a Fluid-Particle Model [J]. Acta mathematica scientia,Series A, 2018, 38(3): 565-570.
[5]	Ye Yaojun, Hu Yue. Global Existence and Exponential Decay of Solution for Some Higher-Order Wave Equation [J]. Acta mathematica scientia,Series A, 2018, 38(1): 110-121.
[6]	Li Huahui, Shao Zhiqiang. Vanishing Pressure Limit of Riemann Solutions to the Aw-Rascle Model for Generalized Chaplygin Gas [J]. Acta mathematica scientia,Series A, 2017, 37(5): 917-930.
[7]	Chen Lin. Multiple Solutions for a Quasilinear Elliptic System of Kirchhoff Type [J]. Acta mathematica scientia,Series A, 2017, 37(4): 671-683.
[8]	Li Huahui, Shao Zhiqiang. Interactions of Delta Shock Waves for the Nonsymmetric Keyfitz-Kranzer System with Split Delta Functions [J]. Acta mathematica scientia,Series A, 2017, 37(4): 714-729.
[9]	Chen Huiwen, Li Jianli, Shen Jianhua. New Results for Neumann Boundary Value Problem with Impulses via Variational Methods [J]. Acta mathematica scientia,Series A, 2017, 37(1): 54-61.
[10]	Geng Fan, Li Ruizhai, Ge Xiangyu. Long Time Behavior of Boussinesq Type Equation with Damping Term [J]. Acta mathematica scientia,Series A, 2016, 36(6): 1196-1210.
[11]	Xiang Ni, Shi Juhua, Xu Jinju, Wu Yan. The Gradient Estimates of Laplace Equations with Oblique Boundary Value Problem [J]. Acta mathematica scientia,Series A, 2016, 36(3): 481-492.
[12]	Li Jing, Chen Caisheng. Nehari Method to Solutions for a Class of Quasilinear Schrödinger Equations in R^N [J]. Acta mathematica scientia,Series A, 2016, 36(3): 507-520.
[13]	Feng Yuqiang, Wang Weimin, Li Shougui. Existence and Uniqueness Results for the Periodic Boundary Value Problems of Fractional Differential Equations with Singular Nonlinearities [J]. Acta mathematica scientia,Series A, 2015, 35(6): 1059-1070.
[14]	Zhang Zhengjie, Zhang Ying. Two Non-Negative Solutions of a Quasilinear Elliptic Equation on R^N [J]. Acta mathematica scientia,Series A, 2015, 35(2): 225-233.
[15]	GAO Li-Meng. Multiplicity Results for A Boundary Value Problem with Double Parameter [J]. Acta mathematica scientia,Series A, 2015, 35(1): 50-55.

A Class of Shock Solution for Quasilinear Robin Problems

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0