Journal of Applied Mathematics

Pullback D -Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source

Danxia Wang, Jianwen Zhang, and Yinzhu Wang

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Abstract

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 g 1 ( · ) , g 2 ( · ) , and then proving the pullback D -condition (C), the existence of the pullback D -attractor of the equations previously mentioned is given.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 315318, 11 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305869

Digital Object Identifier
doi:10.1155/2014/315318

Mathematical Reviews number (MathSciNet)
MR3230570

Citation

Wang, Danxia; Zhang, Jianwen; Wang, Yinzhu. Pullback $D$ -Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source. J. Appl. Math. 2014 (2014), Article ID 315318, 11 pages. doi:10.1155/2014/315318. https://projecteuclid.org/euclid.jam/1425305869


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