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Applications of nonautonomous infinite-dimensional systems control theory for parabolic PDEs
DownloadFall 2013
Parabolic partial differential equations (PDEs) are used as models of transport-reaction phenomena in a variety of different industrial chemical and materials engineering processes, and can yield precise descriptions of process variables with complex temporal and spatially dependent system...
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Numerical Simulations of Anelastic and Boussinesq Rotating Convection with Radial Entropy Gradient Boundary Conditions
DownloadFall 2017
Observations from the gas giants Jupiter or Saturn allow for researchers to construct geophysical fluid dynamical numerical models in an attempt to replicate the observed features. Most models aim at replicating the zonal jets and the eddies observed on these gas giants to understand how they are...
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Spring 2010
Internal gravity waves grow in amplitude as they propagate upwards in a non-Boussinesq fluid and weakly nonlinear effects develop due to interactions with an induced horizontal mean flow. In this work, a new derivation for this wave-induced mean flow is presented and nonlinear Schrodinger...
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Spring 2017
In this dissertation we focus on numerical models of rotating anelastic convection, in particular the entropy boundary condition, with application to the giant planets. The first chapter details atmospheric features of giant planets and the numerical formulation of anelastic convection. The...