Abstract
Let u∈C([0,∞);L3(R3)) be a strong solution of the Cauchy problem for the 3D Navier-Stokes equations with the initial value u0. We prove that the time decay rates of u in the L3-norm coincide with ones of the heat equation with the initial value |u0|. Our proofs use the theory about the existence of local strong solutions, time decay rates of strong solutions when the initial value is small enough, and uniqueness arguments.
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