A note on complete bounded trajectories and attractors for compressible self-gravitating fluids

作者：Guo, Rongcong; Jiang, Fei^*; Yin, Junping

来源：Nonlinear Analysis-Theory Methods & Applications, 2012, 75(4): 1933-1944.

DOI：10.1016/j.na.2011.09.043

• Self-gravitating fluid
• Weak solution
• Bounded absorbing set
• Closed trajectory
• Short trajectory
• Attractor

In this paper we prove the boundedness for energy of weak solutions to the Navier-Stokes equations for compressible self-gravitating fluids in time in bounded domains with arbitrary forces and the adiabatic constant gamma epsilon (3/2, 5/3]. Thus the results on the existence of complete bounded trajectories and attractors for compressible self-gravitating fluids can be generalized up to gamma > 3/2.

• 出版日期2012-3
• 单位华侨大学; 北京应用物理与计算数学研究所