Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties
In this work we consider a coupled system of two weakly dissipative wave equations. We show that the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preser...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/897080 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548020189659136 |
|---|---|
| author | R. F. C. Lobato S. M. S. Cordeiro M. L. Santos D. S. Almeida Júnior |
| author_facet | R. F. C. Lobato S. M. S. Cordeiro M. L. Santos D. S. Almeida Júnior |
| author_sort | R. F. C. Lobato |
| collection | DOAJ |
| description | In this work we consider a coupled system of two weakly dissipative wave equations. We show
that the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preserved. In particular, we use finite differences and also spectral methods. |
| format | Article |
| id | doaj-art-de7cea2dfee74c90b29e93d1782e827f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-de7cea2dfee74c90b29e93d1782e827f2025-02-03T06:42:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/897080897080Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical PropertiesR. F. C. Lobato0S. M. S. Cordeiro1M. L. Santos2D. S. Almeida Júnior3Department of Mathematics, Federal University of Para, Augusto Corrêa Street, 01, 66075-110 Belem, PA, BrazilDepartment of Mathematics, Federal University of Para, Augusto Corrêa Street, 01, 66075-110 Belem, PA, BrazilDepartment of Mathematics, Federal University of Para, Augusto Corrêa Street, 01, 66075-110 Belem, PA, BrazilDepartment of Mathematics, Federal University of Para, Augusto Corrêa Street, 01, 66075-110 Belem, PA, BrazilIn this work we consider a coupled system of two weakly dissipative wave equations. We show that the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preserved. In particular, we use finite differences and also spectral methods.http://dx.doi.org/10.1155/2014/897080 |
| spellingShingle | R. F. C. Lobato S. M. S. Cordeiro M. L. Santos D. S. Almeida Júnior Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties Journal of Applied Mathematics |
| title | Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties |
| title_full | Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties |
| title_fullStr | Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties |
| title_full_unstemmed | Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties |
| title_short | Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties |
| title_sort | optimal polynomial decay to coupled wave equations and its numerical properties |
| url | http://dx.doi.org/10.1155/2014/897080 |
| work_keys_str_mv | AT rfclobato optimalpolynomialdecaytocoupledwaveequationsanditsnumericalproperties AT smscordeiro optimalpolynomialdecaytocoupledwaveequationsanditsnumericalproperties AT mlsantos optimalpolynomialdecaytocoupledwaveequationsanditsnumericalproperties AT dsalmeidajunior optimalpolynomialdecaytocoupledwaveequationsanditsnumericalproperties |