On the weak solvability of the problem of viscoelasticity with memory

Author:

Zvyagin V. G.,Orlov V. P.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference14 articles.

1. Gyarmati, I., Non-Equilibrium Thermodynamics. Field Theory and Variational Principles, Berlin–New York: Springer, 1970.

2. Oldroyd, J.G., Non-Newtonian flow of fluids and rigid bodies, in Rheology: Theory and Applications, New York: Academic Press, 1958.

3. Zvyagin, V.G. and Vorotnikov, D.A., Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics, Berlin, 2008.

4. Zvyagin, V.G. and Dmitrienko, V.T., On weak solutions of a regularized model of a viscoelastic fluid, Differ. Equations, 2002, vol. 38, no. 12, pp. 1731–1744.

5. Zvyagin, V.G. and Dmitrienko, V.T., On weak solutions of an initial-boundary value problem for the equation of motion of a viscoelastic fluid, Dokl. Akad. Nauk, 2001, vol. 380, no. 3, pp. 308–311.

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