Abstract
One proves the global unique solvability in class\(W_\infty ^1 (0,T;C^{2,d} (\bar \Omega ) \cap H(\Omega ))\) of the initial-boundary-value problem for the quasilinear system
This system described the nonstationary flows of the elastic-viscous Kelvin-Voigt fluids with defining relation
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 115, pp. 191–202, 1982.
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Oskolkov, A.P. Theory of nonstationary flows of Kelvin-Voigt fluids. J Math Sci 28, 751–758 (1985). https://doi.org/10.1007/BF02112340
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DOI: https://doi.org/10.1007/BF02112340