Volume 5, Issue 1
Regularity Criteria to the Axially Symmetric Tropical Climate Model Without Swirl

Xian Chen & Xinru Cheng

J. Nonl. Mod. Anal., 5 (2023), pp. 108-122.

Published online: 2023-08

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we consider the Cauchy problem of the axially symmetric tropical climate model with fractional dissipation. By using the energy method, we establish a new regularity criteria for the axisymmetric solutions of the 3D Tropical climate model without swirl. 

  • AMS Subject Headings

35B65, 35Q35, 76W05

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COPYRIGHT: © Global Science Press

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@Article{JNMA-5-108, author = {Chen , Xian and Cheng , Xinru}, title = {Regularity Criteria to the Axially Symmetric Tropical Climate Model Without Swirl}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2023}, volume = {5}, number = {1}, pages = {108--122}, abstract = {

In this paper, we consider the Cauchy problem of the axially symmetric tropical climate model with fractional dissipation. By using the energy method, we establish a new regularity criteria for the axisymmetric solutions of the 3D Tropical climate model without swirl. 

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2023.108}, url = {http://global-sci.org/intro/article_detail/jnma/21919.html} }
TY - JOUR T1 - Regularity Criteria to the Axially Symmetric Tropical Climate Model Without Swirl AU - Chen , Xian AU - Cheng , Xinru JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 108 EP - 122 PY - 2023 DA - 2023/08 SN - 5 DO - http://doi.org/10.12150/jnma.2023.108 UR - https://global-sci.org/intro/article_detail/jnma/21919.html KW - Axisymmetric solution, Regularity criteria, Tropical climate model. AB -

In this paper, we consider the Cauchy problem of the axially symmetric tropical climate model with fractional dissipation. By using the energy method, we establish a new regularity criteria for the axisymmetric solutions of the 3D Tropical climate model without swirl. 

Chen , Xian and Cheng , Xinru. (2023). Regularity Criteria to the Axially Symmetric Tropical Climate Model Without Swirl. Journal of Nonlinear Modeling and Analysis. 5 (1). 108-122. doi:10.12150/jnma.2023.108
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