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existence and regularity of solutions; boundary value problems; viscous incompressible fluid; modified Navier-Stokes equations; evolution inequalities; Faedo-Galerkin approximation
The paper present an existence theorem for a strong solution to an abstract evolution inequality where the properties of the operators involved are motivated by a type of modified Navier-Stokes equations under certain unilateral boundary conditions. The method of proof rests upon a Galerkin type argument combined with the regularization of the functional.
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