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2010•Journal of Anqing Teachers CollegeRequires access

Singularly Perturbed Non-linear Problems with Shock Layer Phenomena

Liu Shu-de

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Abstract

In this paper,some singularly perturbed nonlinear boundary value problems with interior shock layer phenomena are studied.Under certain conditions,a first order formal approximation of the problem is constructed using the composite expansions.And then the existence and asymptotic behavior as e→0 of solutions are proved by virtue of the fixed point theorem.

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In this paper,some singularly perturbed nonlinear boundary value problems with interior shock layer phenomena are studied.Under certain conditions,a first order formal approximation of the problem is constructed using the composite expansions.And then the existence and asymptotic behavior as e→0 of solutions are proved by virtue of the fixed point theorem.

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Available abstract

In this paper,some singularly perturbed nonlinear boundary value problems with interior shock layer phenomena are studied.Under certain conditions,a first order formal approximation of the problem is constructed using the composite expansions.And then the existence and asymptotic behavior as e→0 of solutions are proved by virtue of the fixed point theorem.

Key concepts: Mathematics, Boundary value problem, Boundary layer, Nonlinear system, Shock (circulatory), Mathematical analysis, Fixed-point theorem, Method of matched asymptotic expansions

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