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Tải xuống
Let u be a weak solution of the in-stationary Navier-Stokes equations in a completely general domain in R3. Firstly, we prove that the time decay rates of the weak solution u in the L2-norm like ones of the solutions for the homogeneous Stokes system taking the same initial value in which the decay exponent is less than 34 . Secondly, we show that under some additive conditions on the initial value, then u coincides with the solution of the homogeneous Stokes system when time tends to infinity. | Decay of weak solutions for the navier stokes equations in general domains
