Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary conditions and initial conditions. By prior esti...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/315318 |
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| _version_ | 1849305005454000128 |
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| author | Danxia Wang Jianwen Zhang Yinzhu Wang |
| author_facet | Danxia Wang Jianwen Zhang Yinzhu Wang |
| author_sort | Danxia Wang |
| collection | DOAJ |
| description | We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary conditions and initial conditions. By prior estimates combined with some inequality skills, the existence of the pullback D-absorbing set is obtained. By proving the properties of compactness about the nonlinear operator g1(·), g2(·), and then proving the pullback D-condition (C), the existence of the pullback D-attractor of the equations previously mentioned is given. |
| format | Article |
| id | doaj-art-40a13fb49e084a96b8e19bc57ee22793 |
| 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-40a13fb49e084a96b8e19bc57ee227932025-08-20T03:55:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/315318315318Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat SourceDanxia Wang0Jianwen Zhang1Yinzhu Wang2Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaDepartment of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaDepartment of Mathematics, Taiyuan University of Technology, Taiyuan 030024, ChinaWe consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary conditions and initial conditions. By prior estimates combined with some inequality skills, the existence of the pullback D-absorbing set is obtained. By proving the properties of compactness about the nonlinear operator g1(·), g2(·), and then proving the pullback D-condition (C), the existence of the pullback D-attractor of the equations previously mentioned is given.http://dx.doi.org/10.1155/2014/315318 |
| spellingShingle | Danxia Wang Jianwen Zhang Yinzhu Wang Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source Journal of Applied Mathematics |
| title | Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source |
| title_full | Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source |
| title_fullStr | Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source |
| title_full_unstemmed | Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source |
| title_short | Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source |
| title_sort | pullback d attractor of coupled rod equations with nonlinear moving heat source |
| url | http://dx.doi.org/10.1155/2014/315318 |
| work_keys_str_mv | AT danxiawang pullbackdattractorofcoupledrodequationswithnonlinearmovingheatsource AT jianwenzhang pullbackdattractorofcoupledrodequationswithnonlinearmovingheatsource AT yinzhuwang pullbackdattractorofcoupledrodequationswithnonlinearmovingheatsource |