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Volume 38, Issue 3
Global Large Solution for the Tropical Climate Model Without Thermal Diffusion

Mulan Zhou, Yanghai Yu & Xiaolei Yang

DOI: 10.4208/jpde.v38.n3.4

J. Part. Diff. Eq., 38 (2025), pp. 309-323.

Published online: 2025-09

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  • Abstract

In this paper, we consider the Cauchy problem of $d$-dimensional $(d=2,3)$  tropical climate model without thermal diffusion and construct global smooth solutions by choosing a class of special initial data $(u_0,v_0,θ_0)$ whose $L^2$ norm can be arbitrarily large, and improve the previous results in [1,2].

  • Keywords

Tropical climate model, zero thermal diffusion, global large solution, Sobolev spaces.

  • AMS Subject Headings

35D35, 76D03

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-309, author = {Zhou , MulanYu , Yanghai and Yang , Xiaolei}, title = {Global Large Solution for the Tropical Climate Model Without Thermal Diffusion}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {3}, pages = {309--323}, abstract = {

In this paper, we consider the Cauchy problem of $d$-dimensional $(d=2,3)$  tropical climate model without thermal diffusion and construct global smooth solutions by choosing a class of special initial data $(u_0,v_0,θ_0)$ whose $L^2$ norm can be arbitrarily large, and improve the previous results in [1,2].

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n3.4}, url = {http://global-sci.org/intro/article_detail/jpde/24403.html} }
TY - JOUR T1 - Global Large Solution for the Tropical Climate Model Without Thermal Diffusion AU - Zhou , Mulan AU - Yu , Yanghai AU - Yang , Xiaolei JO - Journal of Partial Differential Equations VL - 3 SP - 309 EP - 323 PY - 2025 DA - 2025/09 SN - 38 DO - http://doi.org/10.4208/jpde.v38.n3.4 UR - https://global-sci.org/intro/article_detail/jpde/24403.html KW - Tropical climate model, zero thermal diffusion, global large solution, Sobolev spaces. AB -

In this paper, we consider the Cauchy problem of $d$-dimensional $(d=2,3)$  tropical climate model without thermal diffusion and construct global smooth solutions by choosing a class of special initial data $(u_0,v_0,θ_0)$ whose $L^2$ norm can be arbitrarily large, and improve the previous results in [1,2].

Zhou , MulanYu , Yanghai and Yang , Xiaolei. (2025). Global Large Solution for the Tropical Climate Model Without Thermal Diffusion. Journal of Partial Differential Equations. 38 (3). 309-323. doi:10.4208/jpde.v38.n3.4
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