In this paper we prove the asymptotic stability of small global solutions in the weak L2 space for the two-dimensional Navier–Stokes equations under a natural functional setting for the class of perturbations. Our result is a global one, that is, we do not impose any smallness on the perturbations.
Funding source: Grant-in-Aid for Young Scientists (B)
Award Identifier / Grant number: 25800079
The author would like to thank Professor Hajime Koba for suggesting to use the space as the class of perturbations in Theorem 1.1. The author is also grateful to the anonymous referee for his/her careful reading of the manuscript and useful comments.
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