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On a Weak Solvability of a System of Thermoviscoelasticity of Oldroyd’s Type

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Differential and Difference Equations with Applications (ICDDEA 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 164))

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Abstract

We study the solvability in the weak sense of the initial-boundary value problem for an Oldroyd’s type model of motion of a viscoelastic continuum.

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References

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  4. Vorotnikov, D.A., Zvyagin, V.G.: On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium. Abstr. Appl. Anal. 2004 (10), 815–829 (2004)

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  6. Zvyagin, V.G., Vorotnikov, D.A.: Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamix. de Gryuter Series in Nonlinear Analysis and Applications. Walter de Gruyter, Berlin, vol. 12 (2008)

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Acknowledgements

The work was supported by the Russian Foundation for Basic Research (13-01-00041 and 14-01-31228), Russian Science Foundation (14-21-00066), the Ministry of Education, and Science of Russia in frameworks of state task for higher education organizations in science for 2014-2016 (Project number 1.1539.2014/K).

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Authors and Affiliations

  1. Research Institution of Mathematics, Voronezh State University, Universitetskaya pl., 1, Voronezh, 394 006, Russia

    Victor Zvyagin

  2. Department of Mathematics, Voronezh State University, Universitetskaya pl., 1, Voronezh, 394 006, Russia

    Vladimir Orlov

Authors
  1. Victor Zvyagin
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  2. Vladimir Orlov
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Corresponding author

Correspondence to Victor Zvyagin .

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Editors and Affiliations

  1. Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Zuzana Došlá

  3. Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

    Ondřej Došlý

  4. School of Mathematics and Stastistics, Huazhong University of Science and Technology, Wuhan, China

    Peter E. Kloeden

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Zvyagin, V., Orlov, V. (2016). On a Weak Solvability of a System of Thermoviscoelasticity of Oldroyd’s Type. In: Pinelas, S., Došlá, Z., Došlý, O., Kloeden, P. (eds) Differential and Difference Equations with Applications. ICDDEA 2015. Springer Proceedings in Mathematics & Statistics, vol 164. Springer, Cham. https://doi.org/10.1007/978-3-319-32857-7_37

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