Global Well-posedness for the 2D Micropolar Rayleigh-Bénard Convection Problem without Velocity Dissipation

• 作者: Sheng WANG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（7）
• 页码范围: 1053-1065
• 页数: 13页
• 语种: 英文

摘要

In this article,we study the Cauchy problem to the micropolar Rayleigh-Bénard convection problem without velocity dissipation in two dimension.We first prove the local well-posedness of a smooth solution,and then establish a blow up criterion in terms of the gradient of scalar temperature field.At last,we obtain the global well-posedness to the system.