Volume 2, Issue 4, October 2016, Page: 41-45
Blow-up of Solutions for Semilinear Timoshenko System with Damping and Source Terms
Jian Dang, Department of Mathematics, Henan University of Technology, Zhengzhou, China
Qingying Hu, Department of Mathematics, Henan University of Technology, Zhengzhou, China
Hongwei Zhang, Department of Mathematics, Henan University of Technology, Zhengzhou, China
Received: Aug. 21, 2016;       Accepted: Aug. 29, 2016;       Published: Oct. 14, 2016
DOI: 10.11648/j.ijamtp.20160204.13      View  3133      Downloads  127
Abstract
In this paper, we are concerned with one-dimensional Timoshenko model for a beam with nonlinear damping and source terms. We establish a blow-up result when the initial energy is positive and the initial data is not in a potential well. Under arbitrary positive initial energy, we also prove a finite-time blow-up result for a special case.
Keywords
Timoshenko System, Source Term, Damping Term, Blow-up
To cite this article
Jian Dang, Qingying Hu, Hongwei Zhang, Blow-up of Solutions for Semilinear Timoshenko System with Damping and Source Terms, International Journal of Applied Mathematics and Theoretical Physics. Vol. 2, No. 4, 2016, pp. 41-45. doi: 10.11648/j.ijamtp.20160204.13
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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