| 概要 |
The non-stationary Navier–Stokes system in the whole space ℝ^𝑛 (n ≥ 2) is considered. Our first result provides the unique existence theorem of global strong solutions for small initial data and exter...nal forces in the scaling invariant homogeneous Besov spaces framework. In particular, our result is still applicable even for non-decaying external forces in time if n ≥ 3. As non-decaying forces include stationary forces, our second result gives the stability of stationary solutions obtained by Kaneko, Kozono, and Shimizu (Indiana Univ. Math. J. 68 (2019), no. 3, 857–880). Although similar results have already been investigated, our method, which is based on the maximal regularity theorem, refines the previous works as perturbed external forces are allowed.続きを見る
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Mendeley出力
020-NS-ANONA(2026T)