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Study of Properties of Solutions for a Viscoelastic Wave Equation System with Variable-Exponents

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Frontier Computing (FC 2018)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 542))

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Abstract

In this paper, we consider a system of two coupled quasilinear viscoelastic equations in canonical form with Dirichlet boundary condition. By using the perturbed energy method, the property of blow-up in finite time of solution of energy is given with strong enough the dissipation of the viscoelastic term. Which extends some existing results for a single equation to the case of a coupled system.

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Acknowledgements

This research was supported by Science and technology research project of Jilin Provincial Education Department (Grant No. JJKH20170024KJ).

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Authors and Affiliations

  1. College of Mathematics and Statistics, Beihua University, Jilin City, 132013, People’s Republic of China

    Yunzhu Gao, Qiu Meng, Haojie Guo, Jing Li & Changling Xu

Authors
  1. Yunzhu Gao
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  2. Qiu Meng
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  3. Haojie Guo
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  4. Jing Li
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  5. Changling Xu
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Corresponding author

Correspondence to Yunzhu Gao .

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Editors and Affiliations

  1. Department of Computer Science and Information Engineering, National Taichung University of Science and Technology, Taichung, Taiwan

    Jason C. Hung

  2. School of Computer Science and Engineering, The University of Aizu, Aizu-Wakamatsu, Japan

    Neil Y. Yen

  3. Department of Innovative Information and Technology, Tamkang University, Yilan County, Taiwan

    Lin Hui

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Gao, Y., Meng, Q., Guo, H., Li, J., Xu, C. (2019). Study of Properties of Solutions for a Viscoelastic Wave Equation System with Variable-Exponents. In: Hung, J., Yen, N., Hui, L. (eds) Frontier Computing. FC 2018. Lecture Notes in Electrical Engineering, vol 542. Springer, Singapore. https://doi.org/10.1007/978-981-13-3648-5_183

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