有吸力平面外定常流的稳定性
Stability of planar exterior stationary flows with suction
摘要：
我们考虑二维Navier-Stokes系统在一个区域外的磁盘。该系统允许一个稳定的解决方案与临界衰减$O(|x|^{-1})$书面作为一个线性组合的纯旋转流和通量载体。在小扰动条件下，假设边界存在吸力，即通量载体系数的符号为负，证明了$L^2$中初始扰动的大时间非线性稳定性.这一结果部分解决了文献中的一个公开问题。
英文摘要：
We consider the two-dimensional Navier-Stokes system in a domain exterior to a disk. The system admits a stationary solution with critical decay $O(|x|^{-1})$ written as a linear combination of the pure rotating flow and the flux carrier. We prove its nonlinear stability in large time for initial disturbances in $L^2$ under smallness conditions, assuming that there is suction across the boundary, namely that the sign of coefficients of the flux carrier is negative. This result partially solves an open problem in the literature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
