In his 2007 monograph, D. Christodoulou proved a breakthrough result giving a complete description of the formation of shock waves, starting from small, regular initial conditions, in solutions to the relativistic Euler equations. In 2014, Christodoulou–Miao extended the result to the nonrelativistic compressible Euler equations. In both works, the assumptions on the initial conditions caused t...

In a stratified rotating fluid, frictionally driven circulations couple with the buoyancy field over sloping topography. Analytical and numerical methods are used to quantify the impact of this coupling on the vertical circulation, spindown of geostrophic flows, and the formation of a shelfbreak jet. Over a stratified. slope, linear spindown of a geostrophic along-isobath flow induces cross-iso...