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2018•Unpublished venueRequires access

THE SHOCK SOLUTION FOR A CLASS OF NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM

Hong-bao Zhu, Chen Song-lin

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Abstract

In this paper, the shock solution for a class of nonlinear singularly perturbed differential equation is considered. Using the method of matched asymptotic expansions, the asymptotic expression of problem is constructed and the uniform validity of asymptotic solution is also proved by the theory of differential inequalities.

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What this paper is about

In this paper, the shock solution for a class of nonlinear singularly perturbed differential equation is considered. Using the method of matched asymptotic expansions, the asymptotic expression of problem is constructed and the uniform validity of asymptotic solution is also proved by the theory of differential inequalities.

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Available abstract

In this paper, the shock solution for a class of nonlinear singularly perturbed differential equation is considered. Using the method of matched asymptotic expansions, the asymptotic expression of problem is constructed and the uniform validity of asymptotic solution is also proved by the theory of differential inequalities.

Key concepts: Method of matched asymptotic expansions, Mathematics, Nonlinear system, Singular perturbation, Class (philosophy), Mathematical analysis, Boundary value problem, Shock (circulatory)

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