2011•Journal of Chongqing University of Science and TechnologyRequires access

A Class of Singularly Perturbed Quasilinear Boundary Value Problems with Shock Layer Behavior

Liu Shu-de

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Abstract

The paper studies singularly perturbed quasi-linear boundary value problems by means of matching asymptotic expansion method,derives condition of this problem with shock layers internally,and proposes the uniformly valid composite expansion of shock solutions in the overall interval.

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The paper studies singularly perturbed quasi-linear boundary value problems by means of matching asymptotic expansion method,derives condition of this problem with shock layers internally,and proposes the uniformly valid composite expansion of shock solutions in the overall interval.

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Available abstract

The paper studies singularly perturbed quasi-linear boundary value problems by means of matching asymptotic expansion method,derives condition of this problem with shock layers internally,and proposes the uniformly valid composite expansion of shock solutions in the overall interval.

Key concepts: Shock (circulatory), Method of matched asymptotic expansions, Boundary value problem, Boundary layer, Class (philosophy), Mathematics, Asymptotic expansion, Mathematical analysis

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