Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Joint Authors
Zhang, Jianwen
Wang, Yinzhu
Wang, Danxia
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Danxia& Zhang, Jianwen& Wang, Yinzhu. 2014. Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-462803
Modern Language Association (MLA)
Wang, Danxia…[et al.]. Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source. Journal of Applied Mathematics No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-462803
American Medical Association (AMA)
Wang, Danxia& Zhang, Jianwen& Wang, Yinzhu. Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-462803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462803