✦ LIBER ✦

Hyperbolic–parabolic singular perturbation for quasilinear equations of Kirchhoff type with weak dissipation

✍ Scribed by Taeko Yamazaki

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 204 KB
Volume: 32
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1114

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✦ Synopsis

Abstract

We consider a hyperbolic–parabolic singular perturbation problem for a quasilinear hyperbolic equation of Kirchhoff type with dissipation weak in time. The purpose of this paper is to give time‐decay convergence estimates of the difference between the solutions of the hyperbolic equation above and those of the corresponding parabolic equation, together with the unique existence of the global solutions of the hyperbolic equation above. Copyright © 2009 John Wiley & Sons, Ltd.

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