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Статья
2018

Weak Solvability of Kelvin–Voigt Model of Thermoviscoelasticity


A. V. ZvyaginA. V. Zvyagin
Русская математика
https://doi.org/10.3103/S1066369X18030106
Abstract / Full Text

In this paper we study the weak solvability of an initial-boundary value thermoviscoelasticity problem for one Kelvin–Voigt mathematical model which describes the flow of weakly concentrated aqueous polymer solutions.

Author information
  • Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, RussiaA. V. Zvyagin
  • Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, RussiaA. V. Zvyagin
References
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  5. Zvyagin, A. V. and Orlov, V. P. “Solvability of Termoviscoelasticity Problem for Certain Oskolkov’s Model”, Russian Mathematics 58, No. 9, 57–61 (2014).
  6. Zvyagin, A. V. and Orlov, V. P. “Solvability of the Thermoviscoelasticity Problem for Linearly Elastically Retarded Voigt Fluid”, Math.Notes 97, No. 5, 694–708 (2015).
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  10. Zvyagin, V. G. and Vorotnikov, D. A. Topological ApproximationMethods for Evolutionary Problems of Nonlinear Hydrodynamics (Walter de Gruyter, Berlin, New York, 2008).
  11. Zvyagin, V. G. and Orlov, V. P. “Solvability of a Parabolic Problem with Non-Smooth Data”, J. Math. Anal. Appl. 453, No. 1, 589–606 (2017).
  12. Zvyagin, V. G. and Orlov, V. P. “On Certain Mathematical Models in Continuum Thermomechanics”, J. Fixed Point Theory Appl. 15, No. 1, 3–47 (2014).