Well-Posedness and Long-Time Dynamics of Ageostrophic Flows

Well-Posedness and Long-Time Dynamics of Ageostrophic Flows

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The interaction of waves and turbulence is a topic of fundamental importance in geophysical and astrophysical fluid dynamics, where wave dynamics result from density stratification, rotation, magnetism, and compressibility. The interactions of wave dynamics with turbulence can have significant implications, transferring energy over long distances or across scales, and impacting the formation and evolution of Lagrangian Coherent Structures (LCS) that is the term widely employed to refer to key material surfaces that shape global mixing patterns in temporally-aperiodic flows defined over a finit...