Well-Posedness and Long-Time Dynamics of Ageostrophic Flows.

      Аннотация: 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 finite-time interval. System (2.10) in my book brings together researchers to present recent results in wave-turbulence interaction in both geophysical and astrophysical settings. It also describes a model for estimating the wave generation by convection based on Pedlosky's theory, and compare the model to high-resolution simulations using the DStool / VFtool code.

Ключевые слова: Wave-Current Interactions, Dynamical Systems and Turbulence, Melnikov Method, Lagrangian and Eulerian Analysis, Lagrangian Coherent Structures, Energy-Phase Method, Geometric Singular Perturbation Theory