Asymptotics for a system of nonlinearly coupled wave equations with an application to the galloping oscillations of overhead transmission lines-Reference-Cited by-同舟云学术

Asymptotics for a system of nonlinearly coupled wave equations with an application to the galloping oscillations of overhead transmission lines

Published:1989 Issue:2 Volume:47 Page:197-219
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

van Horssen W. T.

Abstract

In this paper an asymptotic theory for a class of initial-boundary value problems for systems of weakly and nonlinearly coupled wave equations is presented. The theory implies the well-posedness of the problem in the classical sense and the asymptotic validity of formal approximations on long time scales.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1989-47-02/S0033-569X-1989-0998096-6/S0033-569X-1989-0998096-6.pdf

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