Vanishing Viscosity in the Barotropic b-Plane
نویسندگان
چکیده
The initial boundary value problems associated with the inviscid barotropic potential vorticity equation in the b-plane and its viscous analogue are considered. It is shown that the solution velocity to the viscous equation converges to the inviscid solution in a C1 sense for finite times and that, under additional smoothness assumptions on the inviscid flow, this convergence can be extended to C3. Ž . Moreover, this convergence occurs as O « , where « is the viscous parameter. This particular form of vanishing viscosity is of relevance in analysing viscosity induced advection for barotropic models. Q 1997 Academic Press
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