Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions. (24th October 2016)

• Record Type: Journal Article
• Authors: Ngoc, Le Thi Phuong; Son, Le Huu Ky; Thuyet, Tran Minh; Long, Nguyen Thanh
• Other Names: Mikhlin Yuri Vladimirovich Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-10-24
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/8031638
• Languages: English
• ISSNs: 1024-123X

Abstract

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.