Abstract
The equations of nonstationary filtration with delay are derived for linear viscoelastic weakly compressible fluids in an elastically deformable porous medium and theorems on the solvability of initial-boundary problems which arise in practice are proved for these equations.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 76–86, 1986.
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Oskolkov, A.P., Akhmatov, M. Well-posedness of initial-boundary problems for filtration equations of a fluid with delay. J Math Sci 46, 1613–1619 (1989). https://doi.org/10.1007/BF01099193
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DOI: https://doi.org/10.1007/BF01099193