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Volume 35, Issue 4
Global Well-Posedness for the 3D Tropical Climate Model Without Thermal Diffusion

Yanghai Yu, Jinlu Li & Xiuwei Yin

DOI: 10.4208/jpde.v35.n4.4

J. Part. Diff. Eq., 35 (2022), pp. 344-359.

Published online: 2022-10

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  • Abstract

In this paper, we consider the Cauchy problem of 3D tropical climate model with zero thermal diffusion. Firstly, we establish the global regularity for this system with fractional diffusion $\alpha=\beta=5/4.$ Secondly, by adding only a damp term, we obtain the global well-posedness for small initial data.

  • Keywords

Tropical climate model, zero thermal diffusion, global well-posedness.

  • AMS Subject Headings

35D35, 76D03

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

yuyanghai214@sina.com (Yanghai Yu)

lijinlu@gnnu.edu.cn (Jinlu Li)

xweiyin@163.com (Xiuwei Yin)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-35-344, author = {Yu , YanghaiLi , Jinlu and Yin , Xiuwei}, title = {Global Well-Posedness for the 3D Tropical Climate Model Without Thermal Diffusion}, journal = {Journal of Partial Differential Equations}, year = {2022}, volume = {35}, number = {4}, pages = {344--359}, abstract = {

In this paper, we consider the Cauchy problem of 3D tropical climate model with zero thermal diffusion. Firstly, we establish the global regularity for this system with fractional diffusion $\alpha=\beta=5/4.$ Secondly, by adding only a damp term, we obtain the global well-posedness for small initial data.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v35.n4.4}, url = {http://global-sci.org/intro/article_detail/jpde/21053.html} }
TY - JOUR T1 - Global Well-Posedness for the 3D Tropical Climate Model Without Thermal Diffusion AU - Yu , Yanghai AU - Li , Jinlu AU - Yin , Xiuwei JO - Journal of Partial Differential Equations VL - 4 SP - 344 EP - 359 PY - 2022 DA - 2022/10 SN - 35 DO - http://doi.org/10.4208/jpde.v35.n4.4 UR - https://global-sci.org/intro/article_detail/jpde/21053.html KW - Tropical climate model, zero thermal diffusion, global well-posedness. AB -

In this paper, we consider the Cauchy problem of 3D tropical climate model with zero thermal diffusion. Firstly, we establish the global regularity for this system with fractional diffusion $\alpha=\beta=5/4.$ Secondly, by adding only a damp term, we obtain the global well-posedness for small initial data.

Yu , YanghaiLi , Jinlu and Yin , Xiuwei. (2022). Global Well-Posedness for the 3D Tropical Climate Model Without Thermal Diffusion. Journal of Partial Differential Equations. 35 (4). 344-359. doi:10.4208/jpde.v35.n4.4
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