Semigeostrophic Particle Motion and Exponentially Accurate Normal forms
نویسندگان
چکیده
منابع مشابه
Semigeostrophic Particle Motion and Exponentially Accurate Normal forms
We give an exponentially-accurate normal form for a Lagrangian particle moving in a rotating shallow-water system in the semi-geostrophic limit, which describes the motion in the region of an exponentially-accurate slow manifold (a region of phase space for which dynamics on the fast scale are exponentially small in the Rossby number). We show how this result is related to the variational asymp...
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Article history: Received 10 May 2013 Received in revised form 5 September 2013 Accepted 24 September 2013 Available online 11 October 2013
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In this paper we present a framework for the combination of modal and temporal logic. This framework allows us to combine diier-ent normal forms, in particular, a separated normal form for temporal logic and a rst-order clausal form for modal logics. The calculus of the framework consists of temporal resolution rules and standard rst-order resolution rules. We show that the calculus provides a ...
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I describe an approach to data assimilation making use of an explicit map that defines a coordinate system on the slow manifold in the semi-geostrophic scaling in Lagrangian coordinates, and apply the approach to a simple toy system that has previously been proposed as a low-dimensional model for the semi-geostrophic scaling. The method can be extended to Lagrangian particle methods such as Ham...
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2006
ISSN: 1540-3459,1540-3467
DOI: 10.1137/05064326x