- 95-464 Duan, J. and Wiggins, S.
- Nonlinear Stability of One-Layer Geostrophic Fronts
Oct 18, 95
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Abstract. We study the nonlinear stability of one-layer geostrophic
fronts described by frontal geostrophic equations. We have showed that
the $\beta$-effect plays a crucial role in the stability of one-layer
geostrophic fronts. Especially, we have proved that the class of
nonlinearly stable fronts is more restricted when the $\beta$-effect is
present than when it is absent. This indicates an important difference
between the $\beta$-plane approximation (of the earth's surface) and
the $f$-plane approximation.