37 citations · 42 across the 6 of their papers we have counts for
5 papers · 1 filter
An Interior A Priori Estimate for Solutions to Monge-Ampère Equations with Right-Hand Side Close to One
Thomas O'Neill, Bin Cheng
We consider Monge-Ampére equations with the right hand side function close to a constant and from a function class that is larger than any Hölder class and smaller than the Dini-co…
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…
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…