Global attractors for a tropical climate model
Applications of Mathematics, Tome 68 (2023) no. 3, pp. 329-356
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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.
DOI :
10.21136/AM.2022.0230-21
Classification :
35B40, 35Q35, 76D07
Keywords: tropical climate model; global attractor; Hausdorff dimension; fractal \hbox {dimension}
Keywords: tropical climate model; global attractor; Hausdorff dimension; fractal \hbox {dimension}
@article{10_21136_AM_2022_0230_21,
author = {Han, Pigong and Lei, Keke and Liu, Chenggang and Wang, Xuewen},
title = {Global attractors for a tropical climate model},
journal = {Applications of Mathematics},
pages = {329--356},
publisher = {mathdoc},
volume = {68},
number = {3},
year = {2023},
doi = {10.21136/AM.2022.0230-21},
mrnumber = {4586125},
zbl = {07729500},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0230-21/}
}
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 SP - 329 EP - 356 VL - 68 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0230-21/ DO - 10.21136/AM.2022.0230-21 LA - en ID - 10_21136_AM_2022_0230_21 ER -
%0 Journal Article %A Han, Pigong %A Lei, Keke %A Liu, Chenggang %A Wang, Xuewen %T Global attractors for a tropical climate model %J Applications of Mathematics %D 2023 %P 329-356 %V 68 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.2022.0230-21/ %R 10.21136/AM.2022.0230-21 %G en %F 10_21136_AM_2022_0230_21
Han, Pigong; Lei, Keke; Liu, Chenggang; Wang, Xuewen. Global attractors for a tropical climate model. Applications of Mathematics, Tome 68 (2023) no. 3, pp. 329-356. doi: 10.21136/AM.2022.0230-21
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