On the Structure and Stability of the Hurricane Eyewall

Abstract

This study examines the structure and related stability of the hurricane eyewall at the mature stage. By treating the hurricane eyewall as a rotating fluid annulus, it is shown that axisymmetric steady-state solutions for the hurricane wind field can be explicitly obtained in the eyewall region. Using the energy method, we show that this class of the steady-state solutions is nonlinearly stable, thus explaining the resilience of the hurricane eyewall structure and intensity at the mature stage as established from previous observational and modelling studies.