Uniform attractors of finite-difference schemes for the multilayer quasigeostrophic model of ocean dynamics

V. M. Ipatova

doi:10.1515/rjnamm.2011.008

Published by De Gruyter April 8, 2011

Uniform attractors of finite-difference schemes for the multilayer quasigeostrophic model of ocean dynamics

V. M. Ipatova

From the journal Russian Journal of Numerical Analysis and Mathematical Modelling

https://doi.org/10.1515/rjnamm.2011.008

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Abstract

Semiexplicit and explicit finite-difference schemes for the multilayer quasigeostrophic model of ocean dynamics with time-dependent forcing are considered. The existence of the uniform attractor is established for each of the schemes. It is proved that when the mesh size decreases, the attractors of the schemes lie in an arbitrarily small neighbourhood of the actual attractor of the model.

Published Online: 2011-04-08

Published in Print: 2011-April

Uniform attractors of finite-difference schemes for the multilayer quasigeostrophic model of ocean dynamics

Abstract

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