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2014 Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Danxia Wang, Jianwen Zhang, Yinzhu Wang
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/315318


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.


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Danxia Wang. Jianwen Zhang. Yinzhu Wang. "Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source." J. Appl. Math. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131510
MathSciNet: MR3230570
Digital Object Identifier: 10.1155/2014/315318

Rights: Copyright © 2014 Hindawi


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