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Three dimensional system of globally modified Navier-Stokes equations with infinite delays

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  • Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain global exponential decay of the solutions of the evolutionary problem to the stationary solution.
    Mathematics Subject Classification: Primary: 35K55, 35Q30, 34D23, 34K20.

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