The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation
The L2 space solution of an initial boundary problem for a generalized damped Boussinesq equation is constructed. Certain assumptions on the coefficients of the equation are found to show the existence and uniqueness of the global solution to the initial boundary problem. The explicit expression for...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/216320 |
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| _version_ | 1832558713437683712 |
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| author | Zheng Yin Feng Zhang |
| author_facet | Zheng Yin Feng Zhang |
| author_sort | Zheng Yin |
| collection | DOAJ |
| description | The L2 space solution of an initial boundary problem for a generalized
damped Boussinesq equation is constructed. Certain assumptions on the coefficients of
the equation are found to show the existence and uniqueness of the global solution to the
initial boundary problem. The explicit expression for the large time asymptotic solution is
obtained. |
| format | Article |
| id | doaj-art-39b2b37957f0409c93744b2a74b427a2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-39b2b37957f0409c93744b2a74b427a22025-02-03T01:31:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/216320216320The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq EquationZheng Yin0Feng Zhang1Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaDepartment of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaThe L2 space solution of an initial boundary problem for a generalized damped Boussinesq equation is constructed. Certain assumptions on the coefficients of the equation are found to show the existence and uniqueness of the global solution to the initial boundary problem. The explicit expression for the large time asymptotic solution is obtained.http://dx.doi.org/10.1155/2012/216320 |
| spellingShingle | Zheng Yin Feng Zhang The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation Abstract and Applied Analysis |
| title | The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation |
| title_full | The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation |
| title_fullStr | The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation |
| title_full_unstemmed | The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation |
| title_short | The Asymptotic Solution of the Initial Boundary Value Problem to a Generalized Boussinesq Equation |
| title_sort | asymptotic solution of the initial boundary value problem to a generalized boussinesq equation |
| url | http://dx.doi.org/10.1155/2012/216320 |
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