On the Asymptotic Stability of Steady Flows with Nonzero Flux in Two-Dimensional Exterior Domains
On the Asymptotic Stability of Steady Flows with Nonzero Flux in Two-Dimensional Exterior Domains
复制标题
二维外域非零通量定常流的渐近稳定性
DOI：
10.1007/s00220-016-2794-5
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发表时间：
2016
影响因子：
2.4
通讯作者：
J. Guillod
中科院分区：
文献类型：
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作者：
J. Guillod
研究二维外域内的Navier-Stokes方程。在任意l2摄动下，证明了满足一般假设的平稳解的渐近稳定性。特别地，当稳态解是临界衰变通量载流子与一个小的亚临界衰变项之和时，一般假设成立。在中心对称假设下，在适当的小度条件下，证明了任意临界衰减稳定解的一般假设。
The Navier–Stokes equations in a two-dimensional exterior domain are considered. The asymptotic stability of stationary solutions satisfying a general hypothesis is proven under anyL2-perturbation. In particular, the general hypothesis is valid if the steady solution is the sum of the critically decaying flux carrier with fluxand a small subcritically decaying term. Under the central symmetry assumption, the general hypothesis is also proven for any critically decaying steady solutions under a suitable smallness condition.