Solutions for stationary Navier-Stokes equations with non-homogeneous boundary conditions in symmetric domains of R-n
Solutions for stationary Navier-Stokes equations with non-homogeneous boundary conditions in symmetric domains of R-n
复制标题
Rn 对称域中具有非齐次边界条件的平稳纳维-斯托克斯方程的解
DOI：
10.1016/j.jmaa.2018.05.076
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发表时间：
2019
影响因子：
1.3
通讯作者：
Cai Xinliang
中科院分区：
文献类型：
--
作者：
Li Li;Jiang Zaihong;Cai Xinliang
研究了Rn（n≥ 4）中多连通有界区域上定常Navier-Stokes方程的非齐次边值问题.这个问题在2015年由Korobkov，Pileckas和Russo在R2中的域上完全解决，并在R3中的对称域上部分解决。本文在通过边界的总通量为零的必要条件下，证明了高维对称区域上解的存在性。
We study the non-homogeneous boundary value problem for the stationary Navier–Stokes equations in a multi-connected bounded domain of R n, n≥ 4. This problem was fully solved by Korobkov, Pileckas and Russo in 2015 for domains in R 2 and partially solved for symmetric domains in R 3. In this paper, we prove the existence of solutions in higher dimensional symmetric domains, under the necessary conditions of zero total flux through the boundary.