Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions

Le Thi Phuong Ngoc, Le Huu Ky Son, Tran Minh Thuyet and Nguyen Thanh Long

Mathematical Problems in Engineering, 2016, vol. 2016, 1-18

Abstract:

This paper is devoted to the study of a nonlinear Carrier wave equation in an annular membrane associated with Robin-Dirichlet conditions. Existence and uniqueness of a weak solution are proved by using the linearization method for nonlinear terms combined with the Faedo-Galerkin method and the weak compact method. Furthermore, an asymptotic expansion of a weak solution of high order in a small parameter is established.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8031638

DOI: 10.1155/2016/8031638

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