37 citations · 42 across the 6 of their papers we have counts for
6 papers
Shallow water equations on a fast rotating surface
Bin Cheng, Steve Schochet
We prove that for rotating shallow water equations on a surface of revolution with variable Coriolis parameter and vanishing Rossby and Froude numbers, the classical solution satis…
Three-Scale Singular Limits of Evolutionary PDEs
Bin Cheng, Qiangchang Ju, Steve Schochet
Singular limits of a class of evolutionary systems of partial differential equations having two small parameters and hence three time scales are considered. Under appropriate condi…
Singularity formation and global existence of classical solutions for one dimensional rotating shallow water system
Bin Cheng, Peng Qu, Chunjing Xie
We study classical solutions of one dimensional rotating shallow water system which plays an important role in geophysical fluid dynamics. The main results contain two contrasting…
A rigorous treatment of moist convection in a single column
Bin Cheng, Jingrui Cheng, Michael Cullen +2
We study a single column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state. We then evolve the column by subjecting it…
Convection in a Single Column -- Modelling, Algorithm and Analysis
Onno Bokhove, Bin Cheng, Andreas Dedner +5
The group focused on a model problem of idealised moist air convection in a single column of atmosphere. Height, temperature and moisture variables were chosen to simplify the math…
Low-Mach-number Euler equations with solid-wall boundary condition and general initial data
Bin Cheng
We prove that the divergence-free component of the compressible Euler equations with solid-wall boundary condition converges strongly towards the incompressible Euler equations at…