Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2℠3∗

Hui Zhang, Juan Xu and Qingkai Zhao

Journal of Mathematics, 2022, vol. 2022, 1-6

Abstract: The well-posedness problem is an important but challenging research topic in nonlinear partial differential equations. In this paper, we establish a global-in-time existence result of strong solutions for small initial data in terms of the H˙1/2℠3 norm on three-dimensional tropical climate model with viscosities by derive a blow-up criterion combine with energy estimates. This result can be regard as a generalization of the famous Fujita–Kato result to 3D Navier–Stokes equations.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3945178

DOI: 10.1155/2022/3945178

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