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Towards a theory of global solvability on [0, ∞) of initial-boundary value problems for the equations of motion of oldroyd and Kelvin—Voight fluids

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Abstract

Classical global solvability on [0, ∞) is proved for initial-boundary value problems (30), (32), (33), and (31), (32), (33) which describe two-dimensional motion of Oldroyd fluids and three-dimensional motion of Kelvin—Voight fluids of orders L = 2, 3, ⋯ .

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Authors
  1. A. P. Oskolkov
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  2. R. Shadiev
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akademii Nauk SSSR, Vol. 180, pp. 121–141, 1990.

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Oskolkov, A.P., Shadiev, R. Towards a theory of global solvability on [0, ∞) of initial-boundary value problems for the equations of motion of oldroyd and Kelvin—Voight fluids. J Math Sci 68, 240–253 (1994). https://doi.org/10.1007/BF01249338

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  • DOI: https://doi.org/10.1007/BF01249338

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