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Nonlocal problems for filtration equations for nonNewtonian fluids in a porous medium
Authors:A. P. Oskolkov  M. M. Akhmatov  R. D. Shadiev
Abstract:The following nonlocal problems are studied for the filtration equations of 1) an Oldroyd fluid and 2) of a Kelvin-Voigt fluid: the existence of solutions for the initial boundary problems for the semiaxis t>0 with free terms and the existence of solution periodic in t with period ohgr with free terms which are also periodic in t with period ohgr.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 189, pp. 82–100, 1991.
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