Article ID Journal Published Year Pages File Type
840799 Nonlinear Analysis: Theory, Methods & Applications 2012 12 Pages PDF
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]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>3/2γ>3/2.

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