2010•Unpublished venueRequires access

Shock layer phenomena for some singularly perturbed quasilinear boundary value problems

Liu Shu-de

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Abstract

Some singularly perturbed quasilinear 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 mothed of composite expansions.Then the existence and asymptotic behavior ase→0 of solutions are proved by the fixed point theorem.

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Some singularly perturbed quasilinear 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 mothed of composite expansions.Then the existence and asymptotic behavior ase→0 of solutions are proved by the fixed point theorem.

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Available abstract

Some singularly perturbed quasilinear 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 mothed of composite expansions.Then the existence and asymptotic behavior ase→0 of solutions are proved by the fixed point theorem.

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

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