These notes are devoted to the study of some problems related to shallow-water equations.
In particular, we will review results from derivations of shallow-water systems which depend …

An analytical model is developed which explores the impact of irregular sea-floor roughness
on large-scale oceanic flows. The previously reported asymptotic 'sandpaper'theory of flow …

This study explores the impact of small-scale variability in the bottom relief on the dynamics
and evolution of broad baroclinic flows in the ocean. The analytical model presented here …

Seafloor roughness profoundly influences the pattern and dynamics of large-scale oceanic
flows. However, these kilometre-scale topographic patterns are unresolved by global …

This study examines the impact of small-scale irregular topographic features on the
dynamics and evolution of large-scale barotropic flows in the ocean. A multiscale theory is …

Sea-floor topography is essential for oceanic fluid dynamics in many perspectives, and it is
believed to enhance energy dissipation to oceanic flows. This study numerically examines …

Seafloor topography is essential for oceanic fluid dynamics from many perspectives, and it is
believed to enhance energy dissipation in oceanic flows. This study numerically examines …

This study explores the control of mesoscale variability by topographic features with lateral
scales that are less than the scale of the eddies generated by baroclinic instability. These …

A theoretical model is developed which illustrates the dynamics of layering instability,
frequently realized in ocean regions with active fingering convection. Thermohaline layering …

The effect of a subgrid‐scale cloud field on the propagation of long atmospheric waves is
investigated using a new scale‐consistent formulation based on the asymptotic theory of …