The formation of smng and potentially singular fronts in a two-dimensional quasigeostrophic active scalar is studied here through the symbiotic interaction of mathematical theory and numericalâ€¦ (More)

Several simple mathematical models for the turbulent di!usion of a passive scalar "eld are developed here with an emphasis on the symbiotic interaction between rigorous mathematical theory (includingâ€¦ (More)

A multiscale model of the MJO is developed here that accounts, in a simplified fashion, for both the upscale transfer from synoptic to planetary scales of momentum and temperature from wave trains ofâ€¦ (More)

A family of one-dimensional nonlinear dispersive wave equations is introduced as a model for assessing the validity of weak turbulence theory for random waves in an unambiguous and transparentâ€¦ (More)

This study applies a systematic strategy for stochastic modeling of atmospheric low-frequency variability to a three-layer quasigeostrophic model. This model climate has reasonable approximations ofâ€¦ (More)

Proceedings of the National Academy of Sciencesâ€¦

2009

The Madden-Julian oscillation (MJO) is the dominant mode of variability in the tropical atmosphere on intraseasonal timescales and planetary spatial scales. Despite the primary importance of the MJOâ€¦ (More)

Recent observational analysis reveals the central role of three multicloud types, congestus, stratiform, and deep convective cumulus clouds, in the dynamics of large-scale convectively coupled Kelvinâ€¦ (More)

This study applies a systematic strategy for stochastic modeling of atmospheric lowfrequency variability to a realistic barotropic model climate. This barotropic model climate has reasonableâ€¦ (More)

Systematic multiscale perturbation theory is utilized to develop self-consistent simplified model equations for the interaction across multiple spatial and/or temporal scales in the Tropics. One ofâ€¦ (More)

Several different ways of constructing optimal bases for efficient dynamical modeling are compared: empirical orthogonal functions (EOFs), optimal persistence patterns (OPPs), and principalâ€¦ (More)