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    Finite-Amplitude Wave-Activity Invariants and Nonlinear Stability Theorems for Shallow Water Semigeostrophic Dynamics 

    Source: Journal of the Atmospheric Sciences:;2000:;Volume( 057 ):;issue: 020:;page 3388
    Author(s): Ren, Shuzhan
    Publisher: American Meteorological Society
    Abstract: Motivated by the boundary contributions to the wave-activity invariants and stability theorems of a class of Salmon?s L1-like Hamiltonian balance models, Arnold?s method is applied in this work to derive finite-amplitude ...
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    Solutions to the 3D Transport Equation and 1D Diffusion Equation for Passive Tracers in the Atmospheric Boundary Layer and Their Applications 

    Source: Journal of the Atmospheric Sciences:;2019:;volume 076:;issue 007:;page 2143
    Author(s): Ren, Shuzhan
    Publisher: American Meteorological Society
    Abstract: AbstractA solution to the 3D transport equation for passive tracers in the atmospheric boundary layer (ABL), formulated in terms of Green?s function (GF), is derived to show the connection between the concentration and ...
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    Further Results on the Stability of Rapidly Rotating Vortices in the Asymmetric Balance Formulation 

    Source: Journal of the Atmospheric Sciences:;1999:;Volume( 056 ):;issue: 004:;page 475
    Author(s): Ren, Shuzhan
    Publisher: American Meteorological Society
    Abstract: Two kinds of wave-activity invariants, analogous to the pseudomomentum and pseudoenergy densities in the quasigeostrophic theory, are derived for both three-dimensional baroclinic and two-dimensional barotropic asymmetric ...
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    Coupling of Wind and Potential Temperature in an Ekman Model in the Stratified Atmospheric Boundary Layer 

    Source: Journal of the Atmospheric Sciences:;2021:;volume( ):;issue:
    Author(s): Ren, Shuzhan;Luo, Dehai
    Publisher: American Meteorological Society
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    On the Relationship between Incremental Analysis Updating and Incremental Digital Filtering 

    Source: Monthly Weather Review:;2004:;volume( 132 ):;issue: 010:;page 2495
    Author(s): Polavarapu, Saroja; Ren, Shuzhan; Clayton, Adam M.; Sankey, David; Rochon, Yves
    Publisher: American Meteorological Society
    Abstract: Incremental analysis updating (IAU) refers to a method of smoothly inserting instantaneous analysis increments into a numerical model by spreading the increments over a time period. In this work, this method is shown to ...
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