The Existence and Stability of Steady Circulations in a Conditionally Symmetrically Unstable Basic Flow

Qin Xu Cooperative Institute for Mesoscale Meteorological Studies, NOAA/University, of Oklahoma, Norman, OK 73019, USA

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Abstract

By treating the latent heating as an energy source which is implicitly related to the motion field, the existence of steady nonlinear circulations in a flow susceptible to Conditionally Symmetric Instability (CSI) is studied. Steady viscous symmetric circulations are shown to be unique and asymptotically stable, when the latent heat sources are weak and insensitive to the motion perturbations.

Abstract

By treating the latent heating as an energy source which is implicitly related to the motion field, the existence of steady nonlinear circulations in a flow susceptible to Conditionally Symmetric Instability (CSI) is studied. Steady viscous symmetric circulations are shown to be unique and asymptotically stable, when the latent heat sources are weak and insensitive to the motion perturbations.

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