37 citations · 39 across the 7 of their papers we have counts for
8 papers · 1 filter
Near Resonance Approximation of Rotating Navier-Stokes Equations
Bin Cheng, Zisis N. Sakellaris
We formalise the concept of near resonance for the rotating Navier-Stokes equations, based on which we propose a novel way to approximate the original PDE. The spatial domain is a…
Interior Estimates for Monge-Ampère Equation in Terms of Modulus of Continuity
Bin Cheng, Thomas O'Neill
We investigate the Monge-Ampère equation subject to zero boundary value and with a positive right-hand side unction assumed to be continuous or essentially bounded. Interior estima…
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…