The global attractor of the 2D Boussinesq system with fractional vertical dissipation

Boundary value problems

Xing Su¹ 

[1] College of Information Science and Technology, Donghua University, Shanghai, P.R. China

关键词: Boussinesq system;    fractional vertical dissipation;    global well-posedness;    global attractor;    35Q30;    34D45;    35R11;   

DOI  :  10.1186/s13661-016-0615-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The 2D incompressible Boussinesq system with partial or fractional dissipation have recently attracted considerable attention. In this paper, we study the Cauchy problem for the 2D Boussinesq system in a periodic domain with fractional vertical dissipation in the subcritical case, and we prove the global well-posedness of strong solutions. Based on this, we also discuss the existence of the global attractor.

【 授权许可】

CC BY