# Estimates based on scale separation for geophysical flows.

François Jauberteau; Roger Temam

RACSAM (2002)

- Volume: 96, Issue: 3, page 411-445
- ISSN: 1578-7303

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topJauberteau, François, and Temam, Roger. "Estimates based on scale separation for geophysical flows.." RACSAM 96.3 (2002): 411-445. <http://eudml.org/doc/41634>.

@article{Jauberteau2002,

abstract = {The objective of this work is to obtain theoretical estimates on the large and small scales for geophysical flows. Firstly, we consider the shallow water problem in the one-dimensional case, then in the two-dimensional case. Finally we consider geophysical flows under the hydrostatic hypothesis and the Boussinesq approximation. Scale separation is based on Fourier series, with N models in each spatial direction, and the choice of a cut-off level N1 < N to define large and small scales. We establish that, for a given (quite high) cut-off level, and for (quite regular) initial conditions, the small scales (and their time derivative) are small in energy norm by comparison with the large scales (and their time derivative).},

author = {Jauberteau, François, Temam, Roger},

journal = {RACSAM},

keywords = {Ecuaciones parabólicas; Ecuaciones diferenciales en derivadas parciales; Métodos numéricos; Escala espacial; Meteorología},

language = {eng},

number = {3},

pages = {411-445},

title = {Estimates based on scale separation for geophysical flows.},

url = {http://eudml.org/doc/41634},

volume = {96},

year = {2002},

}

TY - JOUR

AU - Jauberteau, François

AU - Temam, Roger

TI - Estimates based on scale separation for geophysical flows.

JO - RACSAM

PY - 2002

VL - 96

IS - 3

SP - 411

EP - 445

AB - The objective of this work is to obtain theoretical estimates on the large and small scales for geophysical flows. Firstly, we consider the shallow water problem in the one-dimensional case, then in the two-dimensional case. Finally we consider geophysical flows under the hydrostatic hypothesis and the Boussinesq approximation. Scale separation is based on Fourier series, with N models in each spatial direction, and the choice of a cut-off level N1 < N to define large and small scales. We establish that, for a given (quite high) cut-off level, and for (quite regular) initial conditions, the small scales (and their time derivative) are small in energy norm by comparison with the large scales (and their time derivative).

LA - eng

KW - Ecuaciones parabólicas; Ecuaciones diferenciales en derivadas parciales; Métodos numéricos; Escala espacial; Meteorología

UR - http://eudml.org/doc/41634

ER -

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