Global regularity for a class of 2D tropical climate model

详细信息    查看全文

• 作者：Zhuan Ye ^{yezhuan815@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Tropical atmospheric dynamics ; Global regularity
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：307-321
• 全文大小：346 K

文摘

In this paper, we establish the global regularity of a modified version of the tropical climate model originally derived by Frierson–Majda–Pauluis (2004) [6] which couples the barotropic and baroclinic modes of the velocity and the typical midtropospheric temperature. In proving the global regularity, to bypass the difficulty caused by the very weak dissipation (any small power 05c57c982208" title="Click to view the MathML source">α>0$\alpha >0$) of the barotropic mode, we utilize the “weakly nonlinear” energy estimate approach and the Maximal $L_t^q{L}_x^p$ regularity for the heat kernel.