In this note we study nonlinear stability of rigid rotations of a liquid drop in Rn, with n arbitrary. Even though the case n > 3 has no physical sense still it appears interesting from the mathematical point of view. Moreover we prove a non linear instability theorem by direct Lyapunov method.
On stability of equilibrium figures of a uniformly rotating liquid drop in n-dimensional space
PADULA, Mariarosaria;SOLONNIKOV, Vsevolod
2007
Abstract
In this note we study nonlinear stability of rigid rotations of a liquid drop in Rn, with n arbitrary. Even though the case n > 3 has no physical sense still it appears interesting from the mathematical point of view. Moreover we prove a non linear instability theorem by direct Lyapunov method.File in questo prodotto:
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