A note on complete bounded trajectories and attractors for compressible self-gravitating fluids |
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| Authors: | Rongcong Guo Junping Yin |
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| Institution: | a School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, Chinab Institute of Applied Physics and Computational Mathematics, Beijing, China |
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| Abstract: | 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 γ∈(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 γ>3/2. |
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| Keywords: | Self-gravitating fluid Weak solution Bounded absorbing set Closed trajectory Short trajectory Attractor |
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