37 citations · 39 across the 8 of their papers we have counts for
4 papers · 2 filters
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…
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…
Convergence Rate Estimates for the Low Mach and Alfvén Number Three-Scale Singular Limit of Compressible Ideal Magnetohydrodynamics
Bin Cheng, Qiangchang Ju, Steve Schochet
Convergence rate estimates are obtained for singular limits of the compressible ideal magnetohydrodynamics equations, in which the Mach and Alfvén numbers tend to zero at different…