Uniform attractor for non-autonomous Boussinesq-type equation with critical nonlinearity

作者：Yang, Xinguang; Fan, Zhaohui; Li, Ke^*

来源：Mathematical Methods in the Applied Sciences, 2016, 39(11): 3075-3087.

DOI：10.1002/mma.3753

• Boussinesq-type equation
• uniform attractor
• critical nonlinearity

In this paper, we study the longtime dynamics of the non-autonomous Boussinesq-type equationwith critical nonlinearity, and time-dependent external forcing, which is translation bounded but not translation compact. We prove the existence of a uniform attractor in (H-2 (Omega) boolean AND H-0(1) (Omega)) x L-2 (Omega).

• 出版日期2016-7
• 单位河南师范大学; 郑州大学