On a nonlinear wave equation of Kirchhoff-carrier type: linear approximation and asymptotic expansion of solution in a small parameter
type: Item
instance of: scholarly article
title: On a nonlinear wave equation of Kirchhoff-carrier type: linear approximation and asymptotic expansion of solution in a small parameter
zbMATH Open document ID: 1427.35157
DOI: 10.1155/2018/3626543
author: Nguyen Huu Nhan
author: Le Thi Phuong Ngoc
author: Nguyen Thanh Long
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We consider the Robin-Dirichlet problem for a nonlinear wave equation of Kirchhoff-Carrier type. Using the Faedo-Galerkin method and the linearization method for nonlinear terms, the existence and uniqueness of a weak solution are proved. An asymptotic expansion of high order in a small parameter of a weak solution is also discussed.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 7018830
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3626543
OpenAlex ID: W2787954773
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description: scientific article; zbMATH DE number 7018830