Dynamics and Instabilities of Nuclear Fermi Liquid

The kinetic theory of the Fermi liquid is applied to finite nuclei. The nuclear collective motion is treated in terms of the observable variables: particle density, current density, pressure etc. The nuclear dynamics is influenced strongly by the Fermi-surface distortion (FSD) effect. The relaxation of collective motion and the width of giant multipole resonances in hot nuclei show a saturated behaviour with temperature caused by the memory effect in the collision integral. The development of the bulk and surface instabilities of the nuclear Fermi-liquid is sensitive to the dynamic effects such as the FSD and the relaxation processes. The instability growth rate is reduced due to the FSD effect and depends on the multipolarity of the particle density and surface fluctuations.