一类非线性边值问题解的激波性态

Acta mathematica scientia,Series A

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The Shock Behavior of the Solution for a Class of Nonlinear

Boundary Value Problems

Tang Rongrong

Faculty of Science, Huzhou Teachers College, Huzhou 313000;
Division of Computational Science, E-Institute of Shanghai Universities, at SJTU, Shanghai 200240

Received:2005-11-29 Revised:2007-09-10 Online:2007-12-25 Published:2007-12-25
Contact: Tang Rongrong

Abstract

Abstract: By using the shock theory and the matching principle, under appropriate conditions, the shock problems for a class of nonlinear equations are considered. The expressions of the shock solutions and the shock locations are obtained. The result is applied to the model for a class of compressible fluid flow. And the shock behavior of the solution for the model is obtained separately.

Key words: Nonlinear, Compressible fluid flow, Shock, Matching principle

CLC Number:

34E20

Tang Rongrong.

The Shock Behavior of the Solution for a Class of Nonlinear

Boundary Value Problems

[J].Acta mathematica scientia,Series A, 2007, 27(6): 1059-1064.

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The Shock Behavior of the Solution for a Class of Nonlinear

Boundary Value Problems

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