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Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions
Joint Authors
Long, Nguyen Thanh
Thuyet, Tran Minh
Son, Le Huu Ky
Ngoc, Le Thi Phuong
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-24
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ngoc, Le Thi Phuong& Son, Le Huu Ky& Thuyet, Tran Minh& Long, Nguyen Thanh. 2016. Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1112643
Modern Language Association (MLA)
Ngoc, Le Thi Phuong…[et al.]. Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions. Mathematical Problems in Engineering No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1112643
American Medical Association (AMA)
Ngoc, Le Thi Phuong& Son, Le Huu Ky& Thuyet, Tran Minh& Long, Nguyen Thanh. Linear Approximation and Asymptotic Expansion of Solutions for a Nonlinear Carrier Wave Equation in an Annular Membrane with Robin-Dirichlet Conditions. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1112643
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112643