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On well-posedness and blow-up criterion for the 2D tropical climate model

Mulan Zhou
대한수학회 (The Korean Mathematical Society)|2020.07|대한수학회보 (Bulletin of the KMS)|제57권 제4호|pp. 891-907|DOI 10.4134/BKMS.b190570

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키워드

Tropical climate modelglobal regularityblow-up criterion
주제분류수학

초록

In this paper, we consider the Cauchy problem to the tropical climate model. We establish the global regularity for the 2D tropical climate model with generalized nonlocal dissipation of the barotropic mode and obtain a multi-logarithmical vorticity blow-up criterion for the 2D tropical climate model without any dissipation of the barotropic mode.

Abstract

In this paper, we consider the Cauchy problem to the tropical climate model. We establish the global regularity for the 2D tropical climate model with generalized nonlocal dissipation of the barotropic mode and obtain a multi-logarithmical vorticity blow-up criterion for the 2D tropical climate model without any dissipation of the barotropic mode.

참고문헌 (31)

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