Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions
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...
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| Định dạng: | Journal Article |
| Ngôn ngữ: | English |
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Hindawi Publishing
2017
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| Truy cập trực tuyến: | http://digital.lib.ueh.edu.vn/handle/UEH/56245 http://dx.doi.org/10.1155/2016/8031638 |
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oai:localhost:UEH-562452020-05-06T03:25:08Z 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 Nguyen Thanh Long N/A 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. 2017-11-03T10:13:45Z 2017-11-03T10:13:45Z 2016 Journal Article 1024-123X (Print), 1026-7077 (CD-ROM) http://digital.lib.ueh.edu.vn/handle/UEH/56245 http://dx.doi.org/10.1155/2016/8031638 en Mathematical Problems in Engineering Vol. 2016 none Portable Document Format (PDF) Hindawi Publishing |
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Đại học Kinh tế Thành phố Hồ Chí Minh |
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DSpaceUEH |
| language |
English |
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N/A |
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N/A Le Thi Phuong Ngoc Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
| description |
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. |
| author2 |
Le Huu Ky Son |
| author_facet |
Le Huu Ky Son Le Thi Phuong Ngoc |
| format |
Journal Article |
| author |
Le Thi Phuong Ngoc |
| author_sort |
Le Thi Phuong Ngoc |
| title |
Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
| title_short |
Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
| title_full |
Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
| title_fullStr |
Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
| title_full_unstemmed |
Linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with Robin-Dirichlet conditions |
| title_sort |
linear approximation and asymptotic expansion of solutions for a nonlinear carrier wave equation in an annular membrane with robin-dirichlet conditions |
| publisher |
Hindawi Publishing |
| publishDate |
2017 |
| url |
http://digital.lib.ueh.edu.vn/handle/UEH/56245 http://dx.doi.org/10.1155/2016/8031638 |
| work_keys_str_mv |
AT lethiphuongngoc linearapproximationandasymptoticexpansionofsolutionsforanonlinearcarrierwaveequationinanannularmembranewithrobindirichletconditions |
| _version_ |
1810056010957586432 |