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On the Liouville theorem and energy conservation of the tropical climate model

Fan Wu|Huiting Ding
대한수학회 (The Korean Mathematical Society)|2024.09|대한수학회보 (Bulletin of the KMS)|제61권 제5호|pp. 1413-1435|DOI 10.4134/BKMS.b230687

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키워드

Tropical climate modelLiouville-type theoremsenergy equality
주제분류수학

초록

In this paper, we investigate the $n$-D Tropical climate model. We prove two Liouville-type theorems of smooth solutions to stationary tropical climate model under the suitable integrability assumption. We also establish a energy conservation criteria in terms of the $\omega,\nabla v,\nabla\theta$ for global weak solutions to evolutionary inviscid tropical climate model.

Abstract

In this paper, we investigate the $n$-D Tropical climate model. We prove two Liouville-type theorems of smooth solutions to stationary tropical climate model under the suitable integrability assumption. We also establish a energy conservation criteria in terms of the $\omega,\nabla v,\nabla\theta$ for global weak solutions to evolutionary inviscid tropical climate model.

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