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Strong Solution of Initial-Boundary Value Problem for a Class of Nonlinear Thermoelastic Couple Beam Equations

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Web Information Systems and Mining (WISM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 6987))

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Abstract

In this paper, we study the initial-boundary value problem for a class of nonlinear thermo-elastic couple beam equations and prove the existence and uniqueness of the strong solution by using Galerkin method in certain conditions.

This work is supported by National Natural Science Foundation of Shanxi Province under Grant 2010011008.

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References

  1. Tian, T., et al.: The Global Solution of a Coupled System of Thermoelastic Beam with Structure Damping. Mathematics in Practice and Theory 39(15), 209–212 (2009)

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  2. Jianwen, Z., et al.: Global Solution of a Strong Damped Nonlinear Viscoelastic Beam Equation. Engineering Mathematics 20(2), 30–34

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  3. Ball, J.M.: Initial Boundary Value Problem for an Extensible Beam. J. Math. Anal. Appl. 42, 61–90 (1973)

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Author information

Authors and Affiliations

  1. Department of Mathematics, Taiyuan University of Technology, 030024, Taiyuan, China

    Cai-xian Wang & Jian-wen Zhang

Authors
  1. Cai-xian Wang
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  2. Jian-wen Zhang
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Editor information

Editors and Affiliations

  1. Department of Computer and Inforamtion Science, University of Macau, Av. Padre Tomás Pereira, Taipa, Macau, China

    Zhiguo Gong

  2. School of Computer, Shanghai University, 200444, Shanghai, China

    Xiangfeng Luo

  3. College of Computer and Software, Taiyuan University of Technology, 030024, Taiyuan, China

    Junjie Chen

  4. School of Computer and Information Engineering, Shanghai University of Electric Power, 200090, Shanghai, China

    Jingsheng Lei

  5. Department of Business Administration, Caritas Institute of Higher Education, 18 Chui Ling Road, Tseung Kwan O, Hong Kong, China

    Fu Lee Wang

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, Cx., Zhang, Jw. (2011). Strong Solution of Initial-Boundary Value Problem for a Class of Nonlinear Thermoelastic Couple Beam Equations. In: Gong, Z., Luo, X., Chen, J., Lei, J., Wang, F.L. (eds) Web Information Systems and Mining. WISM 2011. Lecture Notes in Computer Science, vol 6987. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23971-7_13

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  • DOI: https://doi.org/10.1007/978-3-642-23971-7_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23970-0

  • Online ISBN: 978-3-642-23971-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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