| Abstract: |
| For PDEs modelling inviscid geophysical fluid dynamics in physical domains, boundary conditions and/or non-flat geometry impose challenges that are further complicated in the singular limit problems. Recent progress has been made on not only uniform-in-parameter energy estimates and convergence to the limits, but also on convergence rates, namely error estimates between solutions to the original and to the limiting problems. All domains are compact and fast waves don`t vanish when the separation of scales widens. This is joint work with Steve Schochet (Tel Aviv) and Alex Mahalov (Arizona State). |
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