Nonmonotone slip problem for miscible liquids
Stanisław Migórski , Paweł Szafraniec
AbstractIn this paper we prove the existence and uniqueness of a solution to the nonstationary two dimensional system of equations describing miscible liquids with nonsmooth, multivalued and nonmonotone boundary conditions of subdifferential type. We employ the regularized Galerkin method combined with results from the theory of hemivariational inequalities.
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