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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.
Acknowledgement
We would like to thank two anonymous reviewers for their constructive comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This research was partially supported by the NOAA HFIP funding [Award NA16NWS4680026], the Indiana University Faculty Research fund and the Office of Naval Research (ONR)'s Young Investigator Award [N000141812588]. The work of SW was supported in part by the US National Science Foundation [NSF, DMS-1515024], and the ONR [N000141512662].