Global attractors for a tropical climate model

Pigong Han; Keke Lei; Chenggang Liu; Xuewen Wang

Applications of Mathematics (2023)

  • Volume: 68, Issue: 3, page 329-356
  • ISSN: 0862-7940

Abstract

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This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates of the Hausdorff dimension and of the fractal dimension of the global attractor are obtained in the end.

How to cite

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Han, Pigong, et al. "Global attractors for a tropical climate model." Applications of Mathematics 68.3 (2023): 329-356. <http://eudml.org/doc/299451>.

@article{Han2023,
abstract = {This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates of the Hausdorff dimension and of the fractal dimension of the global attractor are obtained in the end.},
author = {Han, Pigong, Lei, Keke, Liu, Chenggang, Wang, Xuewen},
journal = {Applications of Mathematics},
keywords = {tropical climate model; global attractor; Hausdorff dimension; fractal dimension},
language = {eng},
number = {3},
pages = {329-356},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global attractors for a tropical climate model},
url = {http://eudml.org/doc/299451},
volume = {68},
year = {2023},
}

TY - JOUR
AU - Han, Pigong
AU - Lei, Keke
AU - Liu, Chenggang
AU - Wang, Xuewen
TI - Global attractors for a tropical climate model
JO - Applications of Mathematics
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 3
SP - 329
EP - 356
AB - This paper is devoted to the global attractors of the tropical climate model. We first establish the global well-posedness of the system. Then by studying the existence of bounded absorbing sets, the global attractor is constructed. The estimates of the Hausdorff dimension and of the fractal dimension of the global attractor are obtained in the end.
LA - eng
KW - tropical climate model; global attractor; Hausdorff dimension; fractal dimension
UR - http://eudml.org/doc/299451
ER -

References

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