Abstract
One proves an existence theorem “in the large” for a generalized solution in the sense of O. A. Ladyzhenskaya of the initial-boundary-value problem for the equation of motion of nonlinear viscoelastic fluids, whose special cases are the weakly con-centrated aqueous solutions of polymers.
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A. P. Oskolkov, “On the uniqueness and the solvability in the large of boundary-value problems for the equations of motion of aqueous solutions of polymers,” J. Sov. Math.,8, No. 4 (1977).
A. P. Oskolkov, “On certain model nonstationary systems in the theory of non-Newtonian fluids,” Tr. Mat. Inst. Akad. Nauk SSSR,127, 32–57 (1975).
A. P. Oskolkov, “On the theory of nonstationary flows of nonlinear viscoelastic fluids,” J. Sov. Math.,34, No. 5 (1986).
A. P. Oskolkov, “On nonstationary flows of viscoelastic fluids,” Trudy Mat. Inst. Akad. Nauk SSSR,159, 103–131 (1983).
A. P. Oskolkov, “Functional methods in the theory of nonstationary flows of linear viscoelastic fluids,” Preprint LOMI R-2-83, Leningrad (1983).
A. P. Oskolkov, “Initial—boundary-value problems for the equations of motion of viscoelastic fluids,” Author's Abstract of Candidate's Doctoral Dissertation, Leningrad (1983).
O. A. Ladyzhenskaya, Mathematical Theory of Viscous Incompressible Flow, Gordon & Breach (1969).
O. A. Ladyzhenskaya, Boundary Value Problems of Mathematical Physics, Amer. Math. Soc. (1977).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 110–119, 1985.
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Oskolkov, A.P. Initial-boundary-value problems for equations of motion of nonlinear viscoelastic fluids. J Math Sci 37, 860–866 (1987). https://doi.org/10.1007/BF01387724
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DOI: https://doi.org/10.1007/BF01387724