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The Dirichlet Problem for a Singular Singularly Perturbed Quasilinear Second Order Differential System

✍ Scribed by Huai-Ping Zhu

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 309 KB
Volume: 210
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5405

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✦ Synopsis

In this paper, we study the ''multi-layer'' phenomenon of the Dirichlet problem for a singular singularly perturbed second order vector system dz 2 rdt 2 s Ž . Ž . F z, t dzrdt q g z, t under the key assumption that the corresponding reduced system is a differential algebraic system of index 1. The formal asymptotic solutions exhibiting multiple boundary layers at one endpoint were constructed and proved uniformly valid. The constructive methods were illustrated by a nontrivial example.

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