On the stability of axially symmetric equilibrium figures of a rotating viscous incompressible fluid
On the stability of axially symmetric equilibrium figures of a rotating viscous incompressible fluid
复制标题
旋转粘性不可压缩流体轴对称平衡图的稳定性
DOI：
10.1090/s1061-0022-05-00855-1
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
V. Solonnikov
中科院分区：
文献类型：
--
作者：
V. Solonnikov
证明了如果能量泛函R的二次变化(见(2.9))为正，则粘性不可压缩毛细流体的轴对称平衡图是稳定的。这一证明是基于对Navier-Stokes系统的一个非定常自由边界问题的研究，该问题的初始数据接近于流体作为刚体的旋转区域。§
It is proved that if the second variation of the energy functional R (see (2.9)) is positive, then the axially symmetric equilibrium figure of a viscous incompressible capillary fluid is stable. The proof is based on the study of a nonstationary free boundary problem for the Navier–Stokes system with initial data close to the rotation regime of the fluid as a rigid body. §