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A note on complete bounded trajectories and attractors for compressible self-gravitating fluids. (English) Zbl 1238.35086

Summary: 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 \(\gamma \in (3/2,5/3]\). Thus the results on the existence of complete bounded trajectories and attractors for compressible self-gravitating fluids can be generalized up to \(\gamma >3/2\).

MSC:

35Q30 Navier-Stokes equations
35D30 Weak solutions to PDEs
35B41 Attractors
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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