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We prove the existence of a forward discretely self-similar solutions to theNavier-Stokes equations in $ \Bbb R^{3}\times (0,+\infty)$ for a discretelyself-similar initial velocity belonging to $ L^2_{ loc}(\Bbb R^{3})$.

Existence of discretely self-similar solutions to the Navier-Stokes equations for initial value in $ L^2_{ loc}(\Bbb R^{3})$