Remark on stability of scale-critical stationary flows in a two-dimensional exterior disk

Remark on stability of scale-critical stationary flows in a two-dimensional exterior disk
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关于二维外圆盘中尺度临界稳态流稳定性的评述

DOI：
10.1007/978-3-319-66764-5_6
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发表时间：
2017
期刊：
Mathematics for Nonlinear Phenomena: Analysis and Computation - In Honor of Yoshikazu Giga's 60th Birthday, Springer Proceedings in Mathematics & Statistics
影响因子：
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通讯作者：
Y. Maekawa
Y. Maekawa
中科院分区：
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文献类型：
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作者：
Takayuki Okuda;Hirotake Kurihara;M. Sugimoto;Y.Maekawa and J.Sauer;Seiichi Kamada;舟木直久;Masaru Ikehata;山田泰彦;Takayuki Okuda;N. Bez and M. Sugimoto;舟木直久;Y. Maekawa

文献摘要

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我们证明了二维外盘中在适当的衰减和小条件下稳态流和初始扰动的稳态流的渐近稳定性。本文考虑的静止流类别包括一些典型的循环流，它们在尺度临界阶中衰减。
We prove the asymptotic stability of stationary flows in a two-dimensional exterior disk under suitable decay and smallness conditions on the stationary flows and the initial perturbations. The class of stationary flows considered in this paper includes some typical circular flows which decay in the scale-critical orderas.