Well-posedness for compressible Rayleigh-Benard convection

作     者：Dongfen BIAN Boling GUO 

作者机构：The Graduate School of China Academy of Engineering Physics Beijing 100088 China Institute of Applied Physics and Computational Mathematics Beijing 100088 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2013年第8卷第6期

页      面：1253-1264页

核心收录：

学科分类：080704[工学-流体机械及工程] 07[理学] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：国家自然科学基金 国家自然科学基金数学天元基金 

主　　题：Compressible Rayleigh-BSnard convection well-posedness energy method 

摘      要：The Rayleigh-B^nard convection is a classical problem in fluid dynamics. In this paper, we are concerned with the well-posedness for the compressible Rayleigh-B^nard convection in a bounded domain Ω R2. We prove the local well-posedness of the system with appropriate initial data. This is the result concerning compressible Rayleigh-B^nard convection, before only results about incompressible Rayleigh-B^nard convection were done.