37 citations · 85 across the 19 of their papers we have counts for
19 papers
Singular Limits of the Shallow Water Equations on the Sphere
Bin Cheng, Steve Schochet
Solutions of the slightly compressible shallow water equations on a rapidly rotating sphere are shown to be bounded uniformly when ratio of the Froude number to the Rossby number i…
Near Resonant Approximation of the Rotating Stratified Boussinesq system on a 3-Torus
Bin Cheng, Zisis N. Sakellaris
Based on a novel treatment of near resonances, we introduce a new approximation for the rotating stratified Boussinesq system on three-dimensional tori with arbitrary aspect ratios…
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…