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
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 …