On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier–Stokes problem
On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier–Stokes problem
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DOI：
10.1007/s00208-011-0653-4
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发表时间：
2012-03
影响因子：
1.4
通讯作者：
K. Pileckas;R. Russo
中科院分区：
文献类型：
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作者：
K. Pileckas;R. Russo
本文研究具有两个正交对称轴的二维外区域中定常Navier-Stokes方程的非齐次边值问题。在适当的奇偶条件下，证明了在无穷远处一致趋于零的解的存在性。结果是获得任意值的边界基准的通量。
We study a nonhomogeneous boundary-value problem for the steady-state Navier–Stokes equations in a two-dimensional exterior domain with two orthogonal symmetry axes. The existence of a solution which tends to zero uniformly at infinity is proved under suitable parity conditions on the data of the problem. The result is obtained for arbitrary values of the flux of the boundary datum.