一类拟线性Robin问题的激波解

Acta mathematica scientia,Series A

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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.

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A Class of Shock Solution for Quasilinear Robin Problems

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