37 citations · 37 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
A Criterion for the Equivalence of the Birkhoff-Rott and Euler Descriptions of Vortex Sheet Evolution
M. C. Lopes Filho, H. J. Nussenzveig Lopes, S. Schochet
In this article we consider the evolution of vortex sheets in the plane both as a weak solution of the two dimensional incompressible Euler equations and as a (weak) solution of th…