L²-asymptotic stability of mild solutions to Navier-Stokes system in R³
classification
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solutionsasymptoticinitialmildnavier-stokesstabilityarbitrarilyconsider
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We consider global-in-time small mild solutions of the initial value problem to the incompressible Navier-Stokes equations in $R^3$. For such solutions, an asymptotic stability is established under arbitrarily large initial $L^2$-perturbations.
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